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CN105388170B - The measuring method and device of a kind of bone density - Google Patents

The measuring method and device of a kind of bone density Download PDF

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CN105388170B
CN105388170B CN201510969007.9A CN201510969007A CN105388170B CN 105388170 B CN105388170 B CN 105388170B CN 201510969007 A CN201510969007 A CN 201510969007A CN 105388170 B CN105388170 B CN 105388170B
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sample
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refraction
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CN105388170A (en
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韩华杰
胡仁芳
朱烨
彭冬
路祥
顾永刚
高昆
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University of Science and Technology of China USTC
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    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • G01N23/02Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material
    • G01N23/04Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material

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Abstract

The invention discloses the measuring method and device of a kind of bone density, correlation technique includes:It obtains the radioscopic image of sample and removes the Background X-ray image after sample, be denoted as sample image and background image respectively;The refraction information of sample is calculated with absorbing information according to the sample image got and background image;The bone density of sample is calculated with the parameter after absorption information and progress X ray Hardening correction according to the refraction information of the sample.Absorption image and refraction image can be obtained simultaneously by using method disclosed by the invention, dual intensity image not overlap problem is not present in measurement process so that bone density measurement speed and precision are improved.

Description

一种骨密度的测量方法及装置Method and device for measuring bone density

技术领域technical field

本发明涉及密度测量技术领域,尤其涉及一种骨密度的测量方法及装置。The invention relates to the technical field of density measurement, in particular to a method and device for measuring bone density.

背景技术Background technique

骨密度的实际测量中常以某一投影方向上单位面积骨质量的值来描述骨密度,单位为g/cm2In the actual measurement of bone density, bone density is often described by the value of bone mass per unit area in a certain projection direction, and the unit is g/cm 2 .

骨密度的测量方法经历了几十年的发展,目前有X线摄片测量发,单光子吸收测量法,双光子吸收测量法,双能X射线吸收测量法,定量CT法,超声测量法等等。Bone density measurement methods have undergone decades of development. At present, there are X-ray film measurement method, single-photon absorptiometry method, two-photon absorptiometry method, dual-energy X-ray absorptiometry method, quantitative CT method, ultrasonic measurement method, etc. Wait.

然而,现有方案的技术难点是如何同时获取被测部位在同一时刻下不同X射线能量状态下的吸收图像。目前医疗设备中主要有两种产生双能X射线的机制:一种为稀土滤过式,该方法用含有稀土元素钐(Sm)或铈(Ce)的稀土滤过器滤过X射线,将连续的X射线谱分成近似独立的两个X射线谱,并相应地使用带能量鉴别器的探测器同时获得两种能量的X射线吸收图像;另一种为脉冲转换式,它利用不同的脉冲控制X射线管电压,分别产生不同能量的X射线并获得吸收图像。以上两种方法都存在着X射线能谱特异性差,仪器硬件和数据采集过程被复杂化等问题,第二种方法更是要求测量过程中,被测者不能移动,否则将会造成两种能量下测量的图像不重叠,系统无法准确计算被测部位的骨密度值。However, the technical difficulty of the existing solution is how to simultaneously acquire the absorption images of the measured part under different X-ray energy states at the same moment. At present, there are mainly two mechanisms for generating dual-energy X-rays in medical equipment: one is the rare earth filter type, which uses rare earth filters containing rare earth elements samarium (Sm) or cerium (Ce) to filter X-rays, and the The continuous X-ray spectrum is divided into two nearly independent X-ray spectra, and the X-ray absorption images of the two energies are obtained simultaneously using a detector with an energy discriminator accordingly; the other is a pulse conversion type, which uses different pulses Control the X-ray tube voltage to generate X-rays with different energies and obtain absorption images. The above two methods have problems such as poor specificity of X-ray energy spectrum, complicated instrument hardware and data acquisition process, etc. The second method requires that the measured person cannot move during the measurement process, otherwise two kinds of energy will be generated. If the measured images do not overlap, the system cannot accurately calculate the bone density value of the measured part.

发明内容Contents of the invention

本发明的目的是提供一种骨密度的测量方法及装置,可以精确的计算出骨密度。The object of the present invention is to provide a method and device for measuring bone density, which can accurately calculate the bone density.

本发明的目的是通过以下技术方案实现的:The purpose of the present invention is achieved through the following technical solutions:

一种骨密度的测量方法,包括:A method for measuring bone density, comprising:

获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像;Obtain the X-ray image of the tested sample and the background X-ray image after removing the tested sample, which are respectively recorded as the sample image and the background image;

根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息;Calculate the refraction information and absorption information of the measured sample according to the acquired sample image and background image;

根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度。The bone density of the tested sample is calculated according to the refraction information and absorption information of the tested sample, and parameters after X-ray hardening correction.

所述获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像包括:The X-ray image of the acquired sample under test and the background X-ray image after removing the sample under test are recorded as sample image and background image respectively, including:

将被测样品放入样品台并调整至视场预定范围内,利用利用X射线管射出的X射线照射至被测样品,并沿着垂直于光栅刻线方向移动设置在所述X射线探测器前方的分析光栅,在其一个光栅周期内均匀移动W步,每步取多张图像求取平均,并对图像进行矫正,将获得的图像记为样品图像,记第k步最终获得的样品图像为 Put the sample to be tested into the sample stage and adjust it to the predetermined range of the field of view, irradiate the sample to be tested with X-rays emitted by the X-ray tube, and move the X-ray detector installed on the X-ray detector along the direction perpendicular to the grating lines The analysis grating in front moves W steps evenly within one grating period, takes multiple images at each step to obtain the average, and corrects the image, and records the obtained image as the sample image, and records the sample image finally obtained at the kth step for

其中,所述对图像进行矫正包括:Wherein, the image correction includes:

在获取样品图像与背景图像之前,将X射线管和X射线探测之间的光学元件均移出光路,打开探测器采集D张图像后求取平均输出一张图像,保存为暗场矫正图像,记为Ioffset;再采集D张图像后求取平均输出一张图像,保存为增益矫正图像,记为IgainBefore acquiring the sample image and the background image, remove the optical elements between the X-ray tube and the X-ray detector out of the optical path, turn on the detector to collect D images, calculate the average and output an image, save it as a dark field correction image, and record I offset ; after collecting D images, calculate the average output image, save it as a gain correction image, and record it as I gain ;

根据下述矫正公式对图像进行矫正;Correct the image according to the following correction formula;

式中,(m,n)为矫正点的图像像素坐标,I(m,n)为矫正后的图像,I0(m,n)为原始图像,M为探测器的行像素数,N为探测器的列像素数。In the formula, (m,n) is the image pixel coordinates of the correction point, I(m,n) is the corrected image, I 0 (m,n) is the original image, M is the number of row pixels of the detector, N is The number of columns of pixels for the detector.

所述根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息包括:The calculation of the refraction information and absorption information of the measured sample according to the obtained sample image and background image includes:

样品的折射信息计算公式为:The formula for calculating the refraction information of the sample is:

式中,α为折射角,坐标(m,n)表示X射线探测器上像素点的位置坐标;T代表相位步进的总步数;P2表示分析光栅G2的周期;d为相位光栅G1和分析光栅G2之间的距离,所述相位光栅G1设置在样品台与X射线管之间且靠近所述样品台;In the formula, α is the refraction angle, and the coordinates (m, n) represent the position coordinates of the pixels on the X-ray detector; T represents the total number of steps of the phase step; P2 represents the period of the analysis grating G2 ; d is the phase grating The distance between G1 and the analysis grating G2 , the phase grating G1 is arranged between the sample stage and the X-ray tube and is close to the sample stage;

样品的吸收信息计算公式为:The formula for calculating the absorption information of the sample is:

式中,A(m,n)代表吸收像。In the formula, A(m,n) represents the absorption image.

该方法还包括:The method also includes:

针对被测样品,利用用X射线穿透相同厚度的铝和有机玻璃,通过测量实际的吸收数据和折射数据,进行X射线硬化修正;其中的铝用来模拟骨组织,有机玻璃用来模拟软组织。For the tested sample, use X-rays to penetrate the same thickness of aluminum and plexiglass, and measure the actual absorption data and refraction data to perform X-ray hardening correction; the aluminum is used to simulate bone tissue, and the plexiglass is used to simulate soft tissue .

所述根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度包括:The calculation of the bone density of the tested sample according to the refraction information and absorption information of the tested sample and parameters after X-ray hardening correction includes:

利用下述公式进行骨密度计算:Bone density was calculated using the following formula:

式中,MB(m,n)表示坐标(m,n)处的骨密度;α(m,n)、A(m,n)分别为样品的折射信息与吸收信息;In the formula, M B (m, n) represents the bone density at coordinates (m, n); α (m, n), A (m, n) are the refraction information and absorption information of the sample, respectively;

US与QS均为利用有机玻璃模拟软组织进行X射线硬化修正后的参数,下标S表示软组织,其中的US=(μ/ρ)S表示有机玻璃的线性吸收系数修正值与密度的比值,QS=(δ/ρ)S表示有机玻璃的折射系数修正值与密度的比值;Both U S and Q S are the parameters after X-ray hardening correction by using plexiglass to simulate soft tissue. Ratio, Q S = (δ/ρ) S represents the ratio of the refractive index correction value and density of organic glass;

UB与QB均为利用铝模拟骨组织进行X射线硬化修正后的参数,下标B表示骨组织,其中的UB=(μ/ρ)B表示铝的线性吸收系数修正值与密度的比值,QB=(δ/ρ)B表示铝的折射系数修正值与密度的比值。Both U B and Q B are the parameters corrected by X-ray hardening by using aluminum to simulate bone tissue. The subscript B represents bone tissue, where U B = (μ/ρ) B represents the relationship between the corrected value of the linear absorption coefficient of aluminum and the density The ratio, Q B =(δ/ρ) B represents the ratio of the corrected value of the refractive index of aluminum to the density.

一种骨密度的测量装置,包括:A device for measuring bone density, comprising:

图像获取单元,用于获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像;The image acquisition unit is used to acquire the X-ray image of the sample to be tested, and the background X-ray image after the sample is removed, which are respectively recorded as the sample image and the background image;

信息计算单元,用于根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息;An information calculation unit, configured to calculate the refraction information and absorption information of the measured sample according to the acquired sample image and background image;

骨密度计算单元,用于根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度。The bone density calculation unit is used to calculate the bone density of the measured sample according to the refraction information and absorption information of the measured sample, and parameters after X-ray hardening correction.

所述图像获取单元,用于获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像包括:The image acquisition unit is used to obtain the X-ray image of the sample under test, and the background X-ray image after the sample under test is removed, respectively recorded as the sample image and the background image, including:

将被测样品放入样品台并调整至视场预定范围内,利用利用X射线管射出的X射线照射至被测样品,并沿着垂直于光栅刻线方向移动设置在所述X射线探测器前方的分析光栅,在其一个光栅周期内均匀移动W步,每步取多张图像求取平均,并对图像进行矫正,将获得的图像记为样品图像,记第k步最终获得的样品图像为 Put the sample to be tested into the sample stage and adjust it to the predetermined range of the field of view, irradiate the sample to be tested with X-rays emitted by the X-ray tube, and move the X-ray detector installed on the X-ray detector along the direction perpendicular to the grating lines The analysis grating in front moves W steps evenly within one grating period, takes multiple images at each step to obtain the average, and corrects the image, and records the obtained image as the sample image, and records the sample image finally obtained at the kth step for

其中,所述对图像进行矫正包括:Wherein, the image correction includes:

在获取样品图像与背景图像之前,将X射线管和X射线探测之间的光学元件均移出光路,打开探测器采集D张图像后求取平均输出一张图像,保存为暗场矫正图像,记为Ioffset;再采集D张图像后求取平均输出一张图像,保存为增益矫正图像,记为IgainBefore acquiring the sample image and the background image, remove the optical elements between the X-ray tube and the X-ray detector out of the optical path, turn on the detector to collect D images, calculate the average and output an image, save it as a dark field correction image, and record I offset ; after collecting D images, calculate the average output image, save it as a gain correction image, and record it as I gain ;

根据下述矫正公式对图像进行矫正;Correct the image according to the following correction formula;

式中,(m,n)为矫正点的图像像素坐标,I(m,n)为矫正后的图像,I0(m,n)为原始图像,M为探测器的行像素数,N为探测器的列像素数。In the formula, (m,n) is the image pixel coordinates of the correction point, I(m,n) is the corrected image, I 0 (m,n) is the original image, M is the number of row pixels of the detector, N is The number of columns of pixels for the detector.

信息计算单元,用于根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息包括:The information calculation unit is used to calculate the refraction information and absorption information of the measured sample according to the obtained sample image and background image, including:

样品的折射信息计算公式为:The formula for calculating the refraction information of the sample is:

式中,α为折射角,坐标(m,n)表示X射线探测器上像素点的位置坐标;T代表相位步进的总步数;P2表示分析光栅G2的周期;d为相位光栅G1和分析光栅G2之间的距离,所述相位光栅G1设置在样品台与X射线管之间且靠近所述样品台;In the formula, α is the refraction angle, and the coordinates (m, n) represent the position coordinates of the pixels on the X-ray detector; T represents the total number of steps of the phase step; P2 represents the period of the analysis grating G2 ; d is the phase grating The distance between G1 and the analysis grating G2 , the phase grating G1 is arranged between the sample stage and the X-ray tube and is close to the sample stage;

样品的吸收信息计算公式为:The formula for calculating the absorption information of the sample is:

式中,A(m,n)代表吸收像。In the formula, A(m,n) represents the absorption image.

该装置还包括:The unit also includes:

修正单元,用于针对被测样品,利用用X射线穿透相同厚度的铝和有机玻璃,通过测量实际的吸收数据和折射数据,进行X射线硬化修正;其中的铝用来模拟骨组织,有机玻璃用来模拟软组织。The correction unit is used to perform X-ray hardening correction by measuring the actual absorption data and refraction data by using X-rays to penetrate aluminum and plexiglass of the same thickness for the tested sample; the aluminum in it is used to simulate bone tissue, organic Glass is used to simulate soft tissue.

所述骨密度计算单元,用于根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度包括:The bone density calculation unit is used to calculate the bone density of the measured sample according to the refraction information and absorption information of the measured sample, and the parameters after X-ray hardening correction, including:

利用下述公式进行骨密度计算:Bone density was calculated using the following formula:

式中,MB(m,n)表示坐标(m,n)处的骨密度;α(m,n)、A(m,n)分别为样品的折射信息与吸收信息;In the formula, M B (m, n) represents the bone density at coordinates (m, n); α (m, n), A (m, n) are the refraction information and absorption information of the sample, respectively;

US与QS均为利用有机玻璃模拟软组织进行X射线硬化修正后的参数,下标S表示软组织,其中的US=(μ/ρ)S表示有机玻璃的线性吸收系数修正值与密度的比值,QS=(δ/ρ)S表示有机玻璃的折射系数修正值与密度的比值;Both U S and Q S are the parameters after X-ray hardening correction by using plexiglass to simulate soft tissue. Ratio, Q S = (δ/ρ) S represents the ratio of the refractive index correction value and density of organic glass;

UB与QB均为利用铝模拟骨组织进行X射线硬化修正后的参数,下标B表示骨组织,其中的UB=(μ/ρ)B表示铝的线性吸收系数修正值与密度的比值,QB=(δ/ρ)B表示铝的折射系数修正值与密度的比值。Both U B and Q B are the parameters corrected by X-ray hardening by using aluminum to simulate bone tissue. The subscript B represents bone tissue, where U B = (μ/ρ) B represents the relationship between the corrected value of the linear absorption coefficient of aluminum and the density The ratio, Q B =(δ/ρ) B represents the ratio of the corrected value of the refractive index of aluminum to the density.

由上述本发明提供的技术方案可以看出,实现了只利用一个X射线能量值,即去除了软组织的影响,从而达到了精确计算骨密度的目的。并且,由于不再需要能量调节装置和相应的探测器,故必然可以大大简化骨密度的测量装置和测量过程;另外,由于吸收图像和折射图像可以同时获得,在测量过程中不存在双能图像不重叠问题,骨密度测量速度和精度得以提高。同时由于引入了折射信息,由于能量范围内软组织对X射线的折射系数比吸收系数强一千倍以上,这为将该方案应用于软组织与机体成分的精确测量,并降低辐射剂量,提供了潜在可能。It can be seen from the technical solution provided by the present invention that only one X-ray energy value is used, that is, the influence of soft tissue is removed, thereby achieving the purpose of accurately calculating bone density. Moreover, since the energy adjustment device and the corresponding detector are no longer needed, the measurement device and the measurement process of bone density can be greatly simplified; in addition, since the absorption image and the refraction image can be obtained at the same time, there is no dual-energy image in the measurement process No overlap problem, bone density measurement speed and accuracy can be improved. At the same time, due to the introduction of refraction information, since the refraction coefficient of soft tissue to X-rays in the energy range is more than one thousand times stronger than the absorption coefficient, this provides a potential for applying this scheme to the accurate measurement of soft tissue and body composition and reducing radiation dose. possible.

附图说明Description of drawings

为了更清楚地说明本发明实施例的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域的普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他附图。In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following will briefly introduce the accompanying drawings that need to be used in the description of the embodiments. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For Those of ordinary skill in the art can also obtain other drawings based on these drawings on the premise of not paying creative efforts.

图1为本发明实施例提供的一种骨密度的测量方法的流程图;Fig. 1 is a flow chart of a method for measuring bone density provided by an embodiment of the present invention;

图2为本发明实施例提供的一种骨密度的测量装置的示意图;2 is a schematic diagram of a bone density measuring device provided by an embodiment of the present invention;

图3a为本发明实施例提供的选定截面上的X射线穿透样品后的吸收图像模拟图;Figure 3a is a simulation diagram of the absorption image after the X-rays penetrate the sample on the selected cross-section provided by the embodiment of the present invention;

图3b为本发明实施例提供的选定截面上的X射线穿透样品后的折射角图像模拟图;Fig. 3b is a simulated diagram of the refraction angle image after the X-ray penetrates the sample on the selected section provided by the embodiment of the present invention;

图3c为本发明实施例提供的折射角分布函数α(x)的积分图像;Fig. 3c is the integral image of the refraction angle distribution function α(x) provided by the embodiment of the present invention;

图3d为本发明实施例提供的软组织密度模拟结果和理论结果对比示意图;Figure 3d is a schematic diagram of the comparison between the soft tissue density simulation results and theoretical results provided by the embodiment of the present invention;

图3e为本发明实施例提供的骨组织密度模拟结果和理论结果对比示意图;Figure 3e is a schematic diagram of the comparison between the bone tissue density simulation results and theoretical results provided by the embodiment of the present invention;

图4为本发明实施例提供的测量仪器示意图;Fig. 4 is the schematic diagram of the measuring instrument provided by the embodiment of the present invention;

图5为本发明实施例提供的实验样品的示意图。Fig. 5 is a schematic diagram of an experimental sample provided by an embodiment of the present invention.

具体实施方式Detailed ways

下面结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明的保护范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

图1为本发明实施例提供的一种骨密度的测量方法的流程图。如图1所示,其主要包括如下步骤:Fig. 1 is a flowchart of a method for measuring bone density provided by an embodiment of the present invention. As shown in Figure 1, it mainly includes the following steps:

1、探测器矫正1. Detector correction

探测器矫正包括:暗场矫正和增益矫正。具体矫正过程为;Detector correction includes: dark field correction and gain correction. The specific correction process is;

将X射线管和X射线探测之间的光学元件均移出光路,打开探测器采集D张图像后求取平均输出一张图像,保存为暗场矫正图像,记为Ioffset;再采集D张图像后求取平均输出一张图像,保存为增益矫正图像,记为IgainMove the optical components between the X-ray tube and the X-ray detector out of the optical path, turn on the detector to collect D images, calculate an average output image, save it as a dark field correction image, and record it as I offset ; collect D images again After obtaining an average output image, save it as a gain correction image, which is recorded as I gain ;

在后续图像采集过程中,根据下述矫正公式对图像进行矫正;In the subsequent image acquisition process, the image is corrected according to the following correction formula;

式中,(m,n)为矫正点的图像像素坐标,I(m,n)为矫正后的图像,I0(m,n)为原始图像,M为探测器的行像素数,N为探测器的列像素数。In the formula, (m,n) is the image pixel coordinates of the correction point, I(m,n) is the corrected image, I 0 (m,n) is the original image, M is the number of row pixels of the detector, N is The number of columns of pixels for the detector.

2、仪器光路校准2. Instrument optical path calibration

将光学元件移回光路,打开X射线管和X射线探测器,微调分束光栅,观察探测器上的摩尔条纹,待条纹均匀且周期区域无穷大时认为光路校准完成。Move the optical components back to the optical path, turn on the X-ray tube and X-ray detector, fine-tune the beam splitting grating, and observe the moiré fringes on the detector. When the fringes are uniform and the periodic area is infinite, the optical path calibration is considered complete.

3、采集获得样品图像与背景图像3. Acquire the sample image and background image

1)采集获得样品图像1) Acquisition and acquisition of sample images

将被测样品放入样品台并调整至视场预定范围内,利用利用X射线管射出的X射线照射至被测样品,并沿着垂直于光栅刻线方向移动设置在所述X射线探测器前方的分析光栅,在其一个光栅周期内均匀移动W步,每步取多张图像求取平均,并对图像进行矫正,将获得的图像记为样品图像,记第k步最终获得的样品图像为 Put the sample to be tested into the sample stage and adjust it to the predetermined range of the field of view, irradiate the sample to be tested with X-rays emitted by the X-ray tube, and move the X-ray detector installed on the X-ray detector along the direction perpendicular to the grating lines The analysis grating in front moves W steps evenly within one grating period, takes multiple images at each step to obtain the average, and corrects the image, and records the obtained image as the sample image, and records the sample image finally obtained at the kth step for

2)采集获得背景图像2) Acquire the background image

本发明实施例中,上述W可设为5。In the embodiment of the present invention, the above W may be set to 5.

4、计算被测样品的折射信息与吸收信息。4. Calculate the refraction information and absorption information of the measured sample.

本步骤根据前述步骤2获得的样品图像与背景图像计算,折射信息与吸收信息;具体如下:This step is calculated based on the sample image and background image obtained in the previous step 2, refraction information and absorption information; the details are as follows:

1)样品的折射信息计算公式为:1) The formula for calculating the refraction information of the sample is:

式中,α为折射角,坐标(m,n)表示X射线探测器上像素点的位置坐标;T代表相位步进的总步数;P2表示分析光栅G2的周期;d为相位光栅G1和分析光栅G2之间的距离,所述相位光栅G1设置在样品台与X射线管之间且靠近所述样品台;In the formula, α is the refraction angle, and the coordinates (m, n) represent the position coordinates of the pixels on the X-ray detector; T represents the total number of steps of the phase step; P2 represents the period of the analysis grating G2 ; d is the phase grating The distance between G1 and the analysis grating G2 , the phase grating G1 is arranged between the sample stage and the X-ray tube and is close to the sample stage;

2)样品的吸收信息计算公式为:2) The formula for calculating the absorption information of the sample is:

式中,A(m,n)代表吸收像。In the formula, A(m,n) represents the absorption image.

5、X射线硬化修正5. X-ray hardening correction

X射线硬化指的是连续X射线谱穿透物体后,射线能量向高能方向移动,即X射线“变硬”。实验仪器中采用的是阴极发射式X射线管光源,产生的X射线光谱包含特征辐射谱和轫致辐射谱,轫致辐射谱即为在某一能量范围内连续分布的X射线谱。由于物体对X射线的折射能力和吸收能力都与X射线的能量有关,而实验样品的折射系数和吸收系数都是计算时用到的重要参数,因此必须知道X射线穿透样品后的等效能量,以准确确定样品的折射系数和吸收系数,这就X射线硬化的修正。X-ray hardening refers to the fact that after the continuous X-ray spectrum penetrates the object, the ray energy moves to the direction of high energy, that is, the X-ray "hardens". The cathode-emitting X-ray tube light source is used in the experimental instrument, and the X-ray spectrum generated includes the characteristic radiation spectrum and the bremsstrahlung spectrum. The bremsstrahlung spectrum is the X-ray spectrum continuously distributed in a certain energy range. Since the refraction ability and absorption ability of an object to X-rays are related to the energy of X-rays, and the refraction coefficient and absorption coefficient of the experimental sample are important parameters used in the calculation, it is necessary to know the equivalent energy of X-rays after penetrating the sample. Quantities to accurately determine the refractive index and absorption coefficient of the sample, which is corrected for X-ray hardening.

X射线硬化修正方法多种多样,现有的双能X射线吸收测量仪测量骨密度时候,常常使用校准物模型进行校准。校准物模型多是由阶梯状的铝合金和阶梯状的丙烯酸塑料叠加组成,用以模拟骨组织和软组织的不同组成比例,之后用不同的能量透过校准物后产生校准曲线。There are various correction methods for X-ray hardening. When the existing dual-energy X-ray absorptiometry instrument measures bone density, it often uses a calibrator model for calibration. The calibrator model is mostly composed of stepped aluminum alloy and stepped acrylic plastic to simulate different composition ratios of bone tissue and soft tissue, and then use different energies to pass through the calibrator to generate a calibration curve.

在本发明实施例中,针对被测样品,利用用X射线穿透相同厚度的铝和有机玻璃,通过测量实际的吸收数据和折射数据,进行X射线硬化修正;其中的铝用来模拟骨组织,有机玻璃用来模拟软组织。In the embodiment of the present invention, X-ray hardening correction is carried out by measuring the actual absorption data and refraction data by using X-rays to penetrate aluminum and plexiglass of the same thickness for the tested sample; the aluminum in it is used to simulate bone tissue , plexiglass is used to simulate soft tissue.

6、骨密度计算6. Calculation of bone density

本发明实施例中,根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度。In the embodiment of the present invention, the bone density of the tested sample is calculated according to the refraction information and absorption information of the tested sample, and parameters after X-ray hardening correction.

X射线穿透人体后的吸收公式为:The absorption formula of X-rays after penetrating the human body is:

I=I0exp[-(μ/ρ)SMS-(μ/ρ)BMB]I=I 0 exp[-(μ/ρ) S M S -(μ/ρ) B M B ]

折射公式为:The refraction formula is:

Φ=l(δ/ρ)SMS+l(δ/ρ)BMB Φ=l(δ/ρ) S M S +l(δ/ρ) B M B

其中,Φ代表X射线穿透物体后的相移,下标S代表软组织,B代表骨组织,l为波矢量,δ为物质的折射系数,ρ为物质密度,M为面密度。Among them, Φ represents the phase shift after the X-ray penetrates the object, the subscript S represents soft tissue, B represents bone tissue, l is the wave vector, δ is the refractive index of the material, ρ is the material density, and M is the surface density.

联立吸收和折射公式,即可求取骨密度MB的值,若记Simultaneous absorption and refraction formula, the value of bone density M B can be calculated, if write

US=(μ/ρ)S,UB=(μ/ρ)B,QS=(δ/ρ)S,QB=(δ/ρ)B U S =(μ/ρ) S , U B =(μ/ρ) B , Q S =(δ/ρ) S , Q B =(δ/ρ) B

上式中,US与QS均为利用有机玻璃模拟软组织进行X射线硬化修正后的参数,下标S表示软组织,其中的US=(μ/ρ)S表示有机玻璃的线性吸收系数修正值与密度的比值,QS=(δ/ρ)S表示有机玻璃的折射系数修正值与密度的比值;UB与QB均为利用铝模拟骨组织进行X射线硬化修正后的参数,下标B表示骨组织,其中的UB=(μ/ρ)B表示铝的线性吸收系数修正值与密度的比值,QB=(δ/ρ)B表示铝的折射系数修正值与密度的比值;In the above formula, U S and Q S are the parameters after X-ray hardening correction by using organic glass to simulate soft tissue, the subscript S represents soft tissue, and U S = (μ/ρ) S represents the linear absorption coefficient correction of organic glass The ratio of the value to the density, Q S = (δ/ρ) S represents the ratio of the corrected value of the refractive index of the plexiglass to the density; U B and Q B are the parameters after X-ray hardening correction by using aluminum simulated bone tissue, the following Subscript B represents bone tissue, where U B = (μ/ρ) B represents the ratio of the corrected value of the linear absorption coefficient of aluminum to the density, Q B = (δ/ρ) B represents the ratio of the corrected value of the refractive index of aluminum to the density ;

则有then there is

结合前述步骤4计算到的折射和吸收信息,最终计算方程变为Combined with the refraction and absorption information calculated in the previous step 4, the final calculation equation becomes

依此便可测出被测样品的骨密度和软组织密度。Based on this, the bone density and soft tissue density of the tested sample can be measured.

本发明实施例提供的骨密度测量方法,相比较现有的骨密度测量方法,实现了只利用一个X射线能量值,即去除了软组织的影响,从而达到了精确计算骨密度的目的。并且,由于不再需要能量调节装置和相应的探测器,故必然可以大大简化骨密度的测量装置和测量过程;另外,由于吸收图像和折射图像可以同时获得,在测量过程中不存在双能图像不重叠问题,骨密度测量速度和精度得以提高。同时由于引入了折射信息,由于能量范围内软组织对X射线的折射系数比吸收系数强一千倍以上,这为将该方案应用于软组织的精确测量,并降低辐射剂量,提供了潜在可能。Compared with the existing bone density measurement method, the bone density measurement method provided by the embodiment of the present invention realizes the use of only one X-ray energy value, that is, removes the influence of soft tissue, thereby achieving the purpose of accurately calculating bone density. Moreover, since the energy adjustment device and the corresponding detector are no longer needed, the measurement device and the measurement process of bone density can be greatly simplified; in addition, since the absorption image and the refraction image can be obtained at the same time, there is no dual-energy image in the measurement process No overlap problem, bone density measurement speed and accuracy can be improved. At the same time, due to the introduction of refraction information, since the refraction coefficient of soft tissue to X-rays in the energy range is more than a thousand times stronger than the absorption coefficient, this provides a potential for applying this scheme to accurate measurement of soft tissues and reducing radiation dose.

通过以上的实施方式的描述,本领域的技术人员可以清楚地了解到上述实施例可以通过软件实现,也可以借助软件加必要的通用硬件平台的方式来实现。基于这样的理解,上述实施例的技术方案可以以软件产品的形式体现出来,该软件产品可以存储在一个非易失性存储介质(可以是CD-ROM,U盘,移动硬盘等)中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本发明各个实施例所述的方法。Through the above description of the implementation manners, those skilled in the art can clearly understand that the above embodiments can be implemented by software, or by means of software plus a necessary general hardware platform. Based on this understanding, the technical solutions of the above-mentioned embodiments can be embodied in the form of software products, which can be stored in a non-volatile storage medium (which can be CD-ROM, U disk, mobile hard disk, etc.), including Several instructions are used to make a computer device (which may be a personal computer, a server, or a network device, etc.) execute the methods described in various embodiments of the present invention.

本发明实施例还提供一种骨密度的测量装置,该装置可用于实现前述方法,如图2所示,该装置主要包括:The embodiment of the present invention also provides a bone density measuring device, which can be used to implement the aforementioned method, as shown in Figure 2, the device mainly includes:

图像获取单元,用于获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像;The image acquisition unit is used to acquire the X-ray image of the sample to be tested, and the background X-ray image after the sample is removed, which are respectively recorded as the sample image and the background image;

信息计算单元,用于根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息;An information calculation unit, configured to calculate the refraction information and absorption information of the measured sample according to the acquired sample image and background image;

骨密度计算单元,用于根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度。The bone density calculation unit is used to calculate the bone density of the measured sample according to the refraction information and absorption information of the measured sample, and parameters after X-ray hardening correction.

进一步的,所述图像获取单元,用于获取被测样品的X射线图像,以及移出被测样品后的背景X射线图像,分别记为样品图像与背景图像包括:Further, the image acquisition unit is used to acquire the X-ray image of the sample under test, and the background X-ray image after the sample under test is removed, respectively recorded as sample image and background image, including:

将被测样品放入样品台并调整至视场预定范围内,利用利用X射线管射出的X射线照射至被测样品,并沿着垂直于光栅刻线方向移动设置在所述X射线探测器前方的分析光栅,在其一个光栅周期内均匀移动W步,每步取多张图像求取平均,并对图像进行矫正,将获得的图像记为样品图像,记第k步最终获得的样品图像为 Put the sample to be tested into the sample stage and adjust it to the predetermined range of the field of view, irradiate the sample to be tested with X-rays emitted by the X-ray tube, and move the X-ray detector installed on the X-ray detector along the direction perpendicular to the grating lines The analysis grating in front moves W steps evenly within one grating period, takes multiple images at each step to obtain the average, and corrects the image, and records the obtained image as the sample image, and records the sample image finally obtained at the kth step for

其中,所述对图像进行矫正包括:Wherein, the image correction includes:

在获取样品图像与背景图像之前,将X射线管和X射线探测之间的光学元件均移出光路,打开探测器采集D张图像后求取平均输出一张图像,保存为暗场矫正图像,记为Ioffset;再采集D张图像后求取平均输出一张图像,保存为增益矫正图像,记为IgainBefore acquiring the sample image and the background image, remove the optical elements between the X-ray tube and the X-ray detector out of the optical path, turn on the detector to collect D images, calculate the average and output an image, save it as a dark field correction image, and record I offset ; after collecting D images, calculate the average output image, save it as a gain correction image, and record it as I gain ;

根据下述矫正公式对图像进行矫正;Correct the image according to the following correction formula;

式中,(m,n)为矫正点的图像像素坐标,I(m,n)为矫正后的图像,I0(m,n)为原始图像,M为探测器的行像素数,N为探测器的列像素数。In the formula, (m,n) is the image pixel coordinates of the correction point, I(m,n) is the corrected image, I 0 (m,n) is the original image, M is the number of row pixels of the detector, N is The number of columns of pixels for the detector.

进一步的,信息计算单元,用于根据获取到的样品图像与背景图像计算被测样品的折射信息与吸收信息包括:Further, the information calculation unit is used to calculate the refraction information and absorption information of the measured sample according to the acquired sample image and background image, including:

样品的折射信息计算公式为:The formula for calculating the refraction information of the sample is:

式中,α为折射角,坐标(m,n)表示X射线探测器上像素点的位置坐标;T代表相位步进的总步数;P2表示分析光栅G2的周期;d为相位光栅G1和分析光栅G2之间的距离,所述相位光栅G1设置在样品台与X射线管之间且靠近所述样品台;In the formula, α is the refraction angle, and the coordinates (m, n) represent the position coordinates of the pixels on the X-ray detector; T represents the total number of steps of the phase step; P2 represents the period of the analysis grating G2 ; d is the phase grating The distance between G1 and the analysis grating G2 , the phase grating G1 is arranged between the sample stage and the X-ray tube and is close to the sample stage;

样品的吸收信息计算公式为:The formula for calculating the absorption information of the sample is:

式中,A(m,n)代表吸收像。In the formula, A(m,n) represents the absorption image.

进一步的,该装置还包括:Further, the device also includes:

修正单元,用于针对被测样品,利用用X射线穿透相同厚度的铝和有机玻璃,通过测量实际的吸收数据和折射数据,进行X射线硬化修正;其中的铝用来模拟骨组织,有机玻璃用来模拟软组织。The correction unit is used to perform X-ray hardening correction by measuring the actual absorption data and refraction data by using X-rays to penetrate aluminum and plexiglass of the same thickness for the tested sample; the aluminum in it is used to simulate bone tissue, organic Glass is used to simulate soft tissue.

进一步的,所述骨密度计算单元,用于根据所述被测样品的折射信息与吸收信息,以及进行X射线硬化修正后的参数计算被测样品的骨密度包括:Further, the bone density calculation unit is used to calculate the bone density of the tested sample according to the refraction information and absorption information of the tested sample, and parameters after X-ray hardening correction includes:

利用下述公式进行骨密度计算:Bone density was calculated using the following formula:

式中,MB(m,n)表示坐标(m,n)处的骨密度;α(m,n)、A(m,n)分别为样品的折射信息与吸收信息;In the formula, M B (m, n) represents the bone density at coordinates (m, n); α (m, n), A (m, n) are the refraction information and absorption information of the sample, respectively;

US与QS均为利用有机玻璃模拟软组织进行X射线硬化修正后的参数,下标S表示软组织,其中的US=(μ/ρ)S表示有机玻璃的线性吸收系数修正值与密度的比值,QS=(δ/ρ)S表示有机玻璃的折射系数修正值与密度的比值;Both U S and Q S are the parameters after X-ray hardening correction by using plexiglass to simulate soft tissue. Ratio, Q S = (δ/ρ) S represents the ratio of the refractive index correction value and density of organic glass;

UB与QB均为利用铝模拟骨组织进行X射线硬化修正后的参数,下标B表示骨组织,其中的UB=(μ/ρ)B表示铝的线性吸收系数修正值与密度的比值,QB=(δ/ρ)B表示铝的折射系数修正值与密度的比值。Both U B and Q B are the parameters corrected by X-ray hardening by using aluminum to simulate bone tissue. The subscript B represents bone tissue, where U B = (μ/ρ) B represents the relationship between the corrected value of the linear absorption coefficient of aluminum and the density The ratio, Q B =(δ/ρ) B represents the ratio of the corrected value of the refractive index of aluminum to the density.

需要说明的是,上述装置中包含的各个功能模块所实现的功能的具体实现方式在前面的各个实施例中已经有详细描述,故在这里不再赘述。It should be noted that the specific implementation manners of the functions implemented by the various functional modules included in the above apparatus have been described in detail in the previous embodiments, so details will not be repeated here.

所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,仅以上述各功能模块的划分进行举例说明,实际应用中,可以根据需要而将上述功能分配由不同的功能模块完成,即将装置的内部结构划分成不同的功能模块,以完成以上描述的全部或者部分功能。Those skilled in the art can clearly understand that for the convenience and brevity of description, only the division of the above-mentioned functional modules is used as an example for illustration. In practical applications, the above-mentioned function allocation can be completed by different functional modules according to needs. The internal structure of the device is divided into different functional modules to complete all or part of the functions described above.

另一方面,为了便于理解本发明,下面结合具体的示例做进一步的说明,需要说明的是,在下述示例中所提供的具体数值仅为举例,在实际工作中,用户可根据实际情况或需求进行设定。On the other hand, in order to facilitate the understanding of the present invention, further description will be made below in conjunction with specific examples. It should be noted that the specific numerical values provided in the following examples are only examples. In actual work, users can Make settings.

示例一、Example 1,

本示例中,首先以计算机数值模拟的方式模拟了实验样品模型面密度计算的完整过程。数值模拟的条件设定为:PMMA(有机玻璃)外腔(用于模拟软组织)的直径为2cm,Al(铝)内芯(用于模拟骨组织)的直径为1.5cm,X射线等效光子能量为30KeV。计算所需数据可以从美国国家标准与技术研究院(NIST)官方网站查找,如表1所示。In this example, the complete process of calculating the area density of the experimental sample model is firstly simulated by means of computer numerical simulation. The conditions of the numerical simulation are set as follows: the diameter of the PMMA (organic glass) outer cavity (used to simulate soft tissue) is 2 cm, the diameter of the Al (aluminum) inner core (used to simulate bone tissue) is 1.5 cm, and the X-ray equivalent photon The energy is 30KeV. The data required for calculation can be found from the official website of the National Institute of Standards and Technology (NIST), as shown in Table 1.

表1模拟计算所需参数及相应的数值Table 1. Parameters and corresponding values required for simulation calculation

计算过程如下:The calculation process is as follows:

第一步为获取X射线穿透样品后的吸收信息,如图3(a)所示,为选定截面上,X射线穿透样品后的吸收图像,即ln(I/I0)值随截面径向位置的分布函数。以截面中心点为例,此处横坐标为0,有tPMMA=1cm,tAl=4cm,则ln(I/I0)=-μPMMAtPMMAALtAL,即求得纵坐标为-11.1464。The first step is to obtain the absorption information after X-rays penetrate the sample, as shown in Figure 3(a), which is the absorption image after X-rays penetrate the sample on the selected cross-section, that is, the value of ln(I/I 0 ) varies with Distribution function of the radial position of the section. Taking the center point of the section as an example, where the abscissa is 0, t PMMA = 1cm, t Al = 4cm, then ln(I/I 0 )=-μ PMMA t PMMAAL t AL , that is, the ordinate can be obtained is -11.1464.

第二步为获取X射线穿透物体后的折射信息,如图3(b)所示,为选定截面上,X射线穿透样品后的折射角图像,即α(x)随截面径向位置的分布函数。以截面中心点为例,此处横坐标x=0,有即求得纵坐标也为0。而图3(c)则是折射角分布函数α(x)的积分图像,以截面中心点位例,此处横坐标为0,纵坐标即为求得结果为2.69337E-6。The second step is to obtain the refraction information after the X-ray penetrates the object, as shown in Figure 3(b), which is the refraction angle image of the X-ray penetrating the sample on the selected section, that is, α(x) varies with the radial direction of the section Distribution function of location. Taking the center point of the section as an example, where the abscissa x=0, we have That is to say, the vertical coordinate is also 0. Figure 3(c) is the integral image of the refraction angle distribution function α(x), taking the center point of the section as an example, where the abscissa is 0 and the ordinate is The obtained result is 2.69337E-6.

第三步为面密度的计算,由于已经有了吸收信息ln(I/I0)和折射信息∫α(x)dx的计算结果,结合表一所列数据,直接带入本发明推导的面密度计算公式:The third step is the calculation of the surface density. Since the calculation results of the absorption information ln(I/I 0 ) and the refraction information ∫α(x)dx are already available, the data listed in Table 1 are directly brought into the surface of the present invention. Density calculation formula:

计算结果如图3(d)和图3(e)中实线所示,标记为MSimulation。另外由于我们已经准确了解使用的计算模型的几何参数和密度,因此样品实际面密度M=ρt分布可以准确计算出,结算结果绘制在图3(d)和图3(e)中以虚线表示,标记为MTheory。由于数值模拟不用考虑X射线的硬化效应,可以看出模拟结果和理论结果几乎完全相同,这也再次说明本发明所提供的骨密度测量方法的正确性。The calculation results are shown by the solid lines in Fig. 3(d) and Fig. 3(e), marked as M Simulation . In addition, since we have accurately understood the geometric parameters and density of the calculation model used, the actual surface density M = ρt distribution of the sample can be accurately calculated, and the settlement results are drawn in Fig. 3(d) and Fig. 3(e) as dotted lines, Tagged M Theory . Since the numerical simulation does not need to consider the hardening effect of X-rays, it can be seen that the simulation results are almost identical to the theoretical results, which again demonstrates the correctness of the bone density measurement method provided by the present invention.

示例二、Example two,

本示例主要针对上述骨密度测量仪器进行介绍,在本示例中,测量仪器的示意图如图4所示,主要包括:1-X射线光机,2-源光栅,3-相位光栅,4-样品台,5-分析光栅,6-探测器等零部件,它们沿着光轴分布。三块光栅均通过8-光学精密位移台固定于9-光学平台之上,其中分析光栅与光学精密位移台之间安装有7-压电陶瓷精密位移电机,用以完成分析光栅的步进运动。本发明前述实施例提供的测量装置通过图4中的PC实现,即利用该PC来实现前文所述的功能。This example mainly introduces the above-mentioned bone density measuring instrument. In this example, the schematic diagram of the measuring instrument is shown in Figure 4, mainly including: 1-X-ray optical machine, 2-source grating, 3-phase grating, 4-sample stage, 5-analysis grating, 6-detector and other components, which are distributed along the optical axis. The three gratings are all fixed on the 9-optical platform through the 8-optical precision displacement stage, and the 7-piezoelectric ceramic precision displacement motor is installed between the analysis grating and the optical precision displacement stage to complete the stepping motion of the analysis grating . The measurement device provided by the foregoing embodiments of the present invention is implemented by the PC shown in FIG. 4 , that is, the PC is used to implement the aforementioned functions.

光机参数设置:焦点1.0mm,60KV/7mA,曝光时间499ms。三块光栅参数:源光栅周期120μm,占空比1:1;分束光栅周期60μm,占空比1:2;分析光栅周期120μm,占空比1:2。探测器像素尺寸200μm,1024×1024像素。源光栅紧贴光机铍窗户(0.5cm左右),与分束光栅距离51cm,分束光栅和分析光栅距离51cm,样品台在分束光栅后面10cm,分析光栅紧贴探测器(实际距离闪烁体10cm左右,前面有保护的玻璃板)。实验样品如图5所示,由1-圆柱腔和2-圆柱内芯组成。圆柱腔1的材料为有机玻璃,截面外直径为20mm,内直径为15mm,圆柱内芯2的材料为铝,截面直径为15mm,样品长度为40mm。Optical-mechanical parameter setting: focus 1.0mm, 60KV/7mA, exposure time 499ms. Three grating parameters: source grating period 120 μm, duty ratio 1:1; beam splitting grating period 60 μm, duty ratio 1:2; analysis grating period 120 μm, duty ratio 1:2. The detector pixel size is 200 μm, 1024×1024 pixels. The source grating is close to the optomechanical beryllium window (about 0.5cm), the distance from the beam splitting grating is 51 cm, the distance between the beam splitting grating and the analysis grating is 51 cm, the sample stage is 10 cm behind the beam splitting grating, and the analysis grating is close to the detector (actual distance from the scintillator About 10cm, with a protective glass plate on the front). The experimental sample is shown in Figure 5, consisting of 1-cylindrical cavity and 2-cylindrical core. The material of the cylindrical cavity 1 is plexiglass, the outer diameter of the section is 20 mm, and the inner diameter is 15 mm. The material of the cylindrical inner core 2 is aluminum, the cross-sectional diameter is 15 mm, and the length of the sample is 40 mm.

步骤一:探测器矫正Step 1: Detector Correction

将光路中X射线管和探测器之间的光学元器件皆移出光路,关闭X射线管,初始化探测器后,进行图像采集。采集50张图像后求取平均输出一张图像,保存为暗场矫正图像,记为IoffsetAll optical components between the X-ray tube and the detector in the optical path are removed from the optical path, the X-ray tube is turned off, the detector is initialized, and image acquisition is performed. After collecting 50 images, calculate the average and output an image, save it as a dark field correction image, and record it as I offset .

打开X射线管,将管电压设置为60KV,采集50张图像后求取平均输出一张图像,保存为增益矫正图像,记为IgainTurn on the X-ray tube, set the tube voltage to 60KV, collect 50 images and calculate the average to output an image, save it as a gain correction image, and record it as I gain .

待仪器正常工作时对得到的原始图像I0均执行如下公式When the instrument is working normally, the following formula is executed on the obtained original image I 0

I(m,n)为最终得到的实验图像,该过程即可完成探测器矫正。I(m,n) is the final experimental image, and this process can complete the detector correction.

步骤二:图像采集Step 2: Image Acquisition

样品图像采集完成后,控制样品台电机,将样品移出视野,并将分析光栅移回原位置,按照同样的操作流程,获取背景图像,记为 After the sample image acquisition is completed, control the motor of the sample stage, move the sample out of the field of view, and move the analysis grating back to the original position. Follow the same operation process to obtain the background image, which is recorded as

步骤三:信息提取Step 3: Information Extraction

按照如下公式获取样品吸收图像Obtain the sample absorption image according to the following formula

再按如下公式获取折射图像Then obtain the refraction image according to the following formula

步骤四:X射线硬化修正Step Four: X-Ray Hardening Correction

将样品内芯取出,单独放置于样品台上,X射线管的管电压依旧设置为60KV,对样品采集50张图像求取平均值后输出一张保存,记为Iharden,再将样品移出光路,其他设置不变,采集50张图像求取平均值后输出一张保存,记为I0。我们选定圆柱中心位置进行计算,根据朗伯比尔定律I=I0e-μt,由于圆柱芯在该处厚度t为1.5cm,带入Iharden=I0e-μt,计算出该处实际线性吸收系数,即修正后的为1.249cm-1。又由于其中A为步骤三计算得到的样品吸收数据,结合已有的铝的线性吸收系数修正值并且我们知道该处有机玻璃厚度为tPMMA=0.5cm,即可以得到有机玻璃的线性吸收系数修正值为0.281cm-1Take out the inner core of the sample and place it on the sample stage separately. The tube voltage of the X-ray tube is still set to 60KV. After collecting 50 images of the sample, calculate the average value and output a saved image, which is recorded as I harden , and then move the sample out of the optical path , and other settings remain unchanged, 50 images are collected to calculate the average value, and then output a saved image, which is recorded as I 0 . We select the center position of the cylinder for calculation. According to Lambert-Beer's law I=I 0 e -μt , since the thickness t of the cylinder core at this place is 1.5cm, take I harden =I 0 e -μt to calculate the actual The linear absorption coefficient, that is, the corrected is 1.249cm -1 . And because of Where A is the sample absorption data calculated in step 3, combined with the existing correction value of the linear absorption coefficient of aluminum And we know that the thickness of the plexiglass at this place is t PMMA = 0.5cm, that is, the correction value of the linear absorption coefficient of the plexiglass can be obtained is 0.281cm -1 .

计算获得铝和有机玻璃的线性吸收系数修正值之后,可以通过NIST官方网站,查找相应的等效能量,我们分别记为并查找相应的折射系数修正值修正计算结果和查找结果列于表2。After calculating the corrected values of the linear absorption coefficients of aluminum and plexiglass, you can find the corresponding equivalent energy through the NIST official website, which we record as and and look up the corresponding refractive index correction value and The corrected calculation results and search results are listed in Table 2.

表2X射线硬化修正后的参数值Table 2 X-ray hardening corrected parameter values

步骤五:样品面密度计算Step 5: Calculate the surface density of the sample

对于选定的计算区域(ROI),由步骤三,我们已经获得了该处的吸收信息A(m,n)和折射信息α(m,n),而由步骤四我们可以计算出修正后的US,UB,QS以及QB。则有For the selected calculation region (ROI), we have obtained the absorption information A(m,n) and refraction information α(m,n) at the place by step 3, and we can calculate the corrected U S , U B , Q S and Q B . then there is

US=(μ/ρ)S=0.281/1.19=0.2361(cm2/g),U S =(μ/ρ) S =0.281/1.19=0.2361(cm 2 /g),

UB=(μ/ρ)B=1.249/2.72=0.4592,U B =(μ/ρ) B =1.249/2.72=0.4592,

QS=(δ/ρ)S=1.7197/1.19=1.445126×10-7(cm3/g),Q S =(δ/ρ) S =1.7197/1.19=1.445126×10 -7 (cm 3 /g),

QB=(δ/ρ)B=2.7534/2.72=1.01227941×10-7(cm3/g)Q B = (δ/ρ) B = 2.7534/2.72 = 1.01227941×10 -7 (cm 3 /g)

再将数据带入面密度计算公式Then bring the data into the surface density calculation formula

以上所述,仅为本发明较佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明披露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应该以权利要求书的保护范围为准。The above is only a preferred embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any person familiar with the technical field can easily conceive of changes or changes within the technical scope disclosed in the present invention. Replacement should be covered within the protection scope of the present invention. Therefore, the protection scope of the present invention should be determined by the protection scope of the claims.

Claims (8)

1. a kind of measuring method of bone density, which is characterized in that including:
It obtains the radioscopic image of sample and removes the Background X-ray image after sample, be denoted as sample drawing respectively Picture and background image;
The refraction information of sample is calculated with absorbing information according to the sample image got and background image;
Quilt is calculated according to the refraction information of the sample and the parameter after absorption information and progress X ray Hardening correction The bone density of sample:
In formula, MBBone density at (m, n) denotation coordination (m, n);α (m, n), A (m, n) are respectively the refraction information of sample with inhaling It collects mail and ceases;
USWith QSIt is the parameter carried out using organic glass simulation soft tissue after X ray Hardening correction, subscript S represents soft tissue, U thereinS=(μ/ρ)SRepresent the linear absorption coefficient correction value of organic glass and the ratio of density, QS=(δ/ρ)SIt indicates The refraction coefficient correction value of machine glass and the ratio of density;
UBWith QBIt is to intend the parameter after bone tissue carries out X ray Hardening correction using aluminum dipping form, subscript B represents bone tissue, therein UB=(μ/ρ)BRepresent the linear absorption coefficient correction value of aluminium and the ratio of density, QB=(δ/ρ)BRepresent that the refraction coefficient of aluminium is repaiied The ratio of positive value and density.
2. according to the method described in claim 1, it is characterized in that, the radioscopic image for obtaining sample and removal Background X-ray image after sample is denoted as sample image and includes with background image respectively:
Sample is put into sample stage and is adjusted to visual field preset range, utilizes the x-ray bombardment that X-ray tube projects to quilt Sample, and along the analysis grating being arranged in front of X-ray detector is moved perpendicular to grating line direction, in one light W steps are uniformly moved in grid cycle, often step takes multiple images to ask for average, and image is corrected, and the image of acquisition is denoted as Sample image, the sample image that note kth step finally obtains are
Sample is removed into sample stage, and analysis grating is moved back to original position, then according to the similary step of acquisition sample image Background image is acquired, and image is corrected, the image of acquisition is denoted as background image, the background that note kth step finally obtains Image is
Wherein, it is described to image carry out correction include:
Before sample image and background image is obtained, the optical element between X-ray tube and X-ray detector is removed into light X-ray tube is closed on road, is asked for one image of average output after opening D images of detector acquisition, is saved as details in a play not acted out on stage, but told through dialogues correction figure Picture is denoted as Ioffset;X-ray tube is opened again, is asked for one image of average output after D images of acquisition, is saved as gain correction figure Picture is denoted as Igain
Image is corrected according to following correction formula;
In formula, (m, n) be correction point image pixel coordinates, I (m, n) be correct after image, I0(m, n) be original image, M For the row pixel number of detector, N is the row pixel number of detector.
3. according to the method described in claim 2, it is characterized in that, sample image and background image meter that the basis is got The refraction information for calculating sample includes with absorbing information:
The refraction information calculation formula of sample is:
In formula, α is refraction angle, and coordinate (m, n) represents the position coordinates of pixel on X-ray detector;T represents phase stepping Total step number;P2Represent analysis grating G2Period;D is phase grating G1With analysis grating G2The distance between, the phase grating G1It is arranged between sample stage and X-ray tube and close to the sample stage;
The absorption information calculation formula of sample is:
In formula, A (m, n) represents absorption image.
4. according to the method described in claim 1, it is characterized in that, this method further includes:
For sample, the aluminium and organic glass of same thickness are penetrated using X ray, by measure practical absorption data and Refraction data carries out X ray Hardening correction;Aluminium therein is used for simulating bone tissue, and organic glass is used for simulating soft tissue.
5. a kind of measuring device of bone density, which is characterized in that including:
Image acquisition unit, for obtaining the Background X-ray figure after the radioscopic image of sample and removal sample Picture is denoted as sample image and background image respectively;
Information calculating unit, for calculating the refraction information of sample with inhaling according to the sample image got and background image It collects mail and ceases;
Bone density computing unit, for the refraction information according to the sample with absorbing information and carrying out X ray hardening Revised parameter calculates the bone density of sample:
In formula, MBBone density at (m, n) denotation coordination (m, n);α (m, n), A (m, n) are respectively the refraction information of sample with inhaling It collects mail and ceases;
USWith QSIt is the parameter carried out using organic glass simulation soft tissue after X ray Hardening correction, subscript S represents soft tissue, U thereinS=(μ/ρ)SRepresent the linear absorption coefficient correction value of organic glass and the ratio of density, QS=(δ/ρ)SIt indicates The refraction coefficient correction value of machine glass and the ratio of density;
UBWith QBIt is to intend the parameter after bone tissue carries out X ray Hardening correction using aluminum dipping form, subscript B represents bone tissue, therein UB=(μ/ρ)BRepresent the linear absorption coefficient correction value of aluminium and the ratio of density, QB=(δ/ρ)BRepresent that the refraction coefficient of aluminium is repaiied The ratio of positive value and density.
6. device according to claim 5, which is characterized in that described image acquiring unit, for obtaining the X of sample Background X-ray image after ray image and removal sample, is denoted as sample image and includes with background image respectively:
Sample is put into sample stage and is adjusted to visual field preset range, utilizes the x-ray bombardment that X-ray tube projects to quilt Sample, and along the analysis grating being arranged in front of X-ray detector is moved perpendicular to grating line direction, in one light W steps are uniformly moved in grid cycle, often step takes multiple images to ask for average, and image is corrected, and the image of acquisition is denoted as Sample image, the sample image that note kth step finally obtains are
Sample is removed into sample stage, and analysis grating is moved back to original position, then according to the similary step of acquisition sample image Background image is acquired, and image is corrected, the image of acquisition is denoted as background image, the background that note kth step finally obtains Image is
Wherein, it is described to image carry out correction include:
Before sample image and background image is obtained, the optical element between X-ray tube and X-ray detector is removed into light X-ray tube is closed on road, is asked for one image of average output after opening D images of detector acquisition, is saved as details in a play not acted out on stage, but told through dialogues correction figure Picture is denoted as Ioffset;X-ray tube is opened again, is asked for one image of average output after D images of acquisition, is saved as gain correction figure Picture is denoted as Igain
Image is corrected according to following correction formula;
In formula, (m, n) be correction point image pixel coordinates, I (m, n) be correct after image, I0(m, n) be original image, M For the row pixel number of detector, N is the row pixel number of detector.
7. device according to claim 6, which is characterized in that information calculating unit, for according to the sample drawing got As the refraction information that sample is calculated with background image includes with absorbing information:
The refraction information calculation formula of sample is:
In formula, α is refraction angle, and coordinate (m, n) represents the position coordinates of pixel on X-ray detector;T represents phase stepping Total step number;P2Represent analysis grating G2Period;D is phase grating G1With analysis grating G2The distance between, the phase grating G1It is arranged between sample stage and X-ray tube and close to the sample stage;
The absorption information calculation formula of sample is:
In formula, A (m, n) represents absorption image.
8. device according to claim 5, which is characterized in that the device further includes:
For being directed to sample, the aluminium and organic glass of same thickness are penetrated using X ray for amending unit, real by measuring The absorption data and refraction data on border carry out X ray Hardening correction;Aluminium therein is used for simulating bone tissue, and organic glass is used for Simulate soft tissue.
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