TWI453466B - Method for reducing speckle noise and apparatus using the same - Google Patents
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本發明係關於降低影像中光斑雜訊的方法及使用其之設備,特別關於降低使用同調光源形成的影像中的光斑雜訊的方法及使用其之設備。The present invention relates to a method for reducing spot noise in an image and a device using the same, and more particularly to a method for reducing spot noise in an image formed using a coherent light source and an apparatus using the same.
在同調成像技術中,使用例如雷射光、超音波、X光等同調光作為形成影像的光源。由於同調光源在形成影像時,會因物體表面的粗糙不平而在形成的影像中必然產生光斑。光斑是由例如建設性干涉或破壞性干涉等干涉造成的。由於光斑不利於形成的影像的品質,因此被視為雜訊,也稱為光斑雜訊。因此,消除或降低影像中的光斑雜訊是同調成像技術的重要議題。In the coherent imaging technique, for example, laser light, ultrasonic wave, and X-ray equivalent dimming are used as the light source for forming an image. Since the coherent light source forms an image, a spot is inevitably generated in the formed image due to the roughness of the surface of the object. The spot is caused by interference such as constructive interference or destructive interference. Because the spot is not conducive to the quality of the formed image, it is considered as noise, also known as spot noise. Therefore, eliminating or reducing spot noise in images is an important issue in coherent imaging technology.
一般而言,同調成像系統基本上具有如圖1所示的的配置。在所示的配置中,同調光源102發射的光照射至要成像的物體,然後經過透鏡104而在移動擴散器106所處的中間成像平面中形成影像,然後再經過二次透鏡108而在最終成像平面形成最終影像。為了降低最終成像中的光斑雜訊,使用機械式移動的擴散片作為移動擴散器106,藉由縱向地或橫向地震動、或旋轉擴散片,可以降低光斑雜訊。但是,使用機械式移動的擴散片之技術具有構造複雜、雜訊降低效率不佳、不易精確控制、功耗大、品質變異大、及難以縮小整體尺寸等缺點。In general, a coherent imaging system basically has the configuration shown in FIG. In the configuration shown, the light emitted by the coherent light source 102 illuminates the object to be imaged, then passes through the lens 104 to form an image in the intermediate imaging plane in which the diffuser 106 is located, and then passes through the secondary lens 108 and ultimately The imaging plane forms the final image. In order to reduce the spot noise in the final imaging, a mechanically moving diffusion sheet is used as the moving diffuser 106, and the spot noise can be reduced by vibrating longitudinally or laterally, or by rotating the diffusion sheet. However, the technique of using a mechanically-moving diffuser has disadvantages such as complicated structure, poor noise reduction efficiency, difficulty in precise control, large power consumption, large variation in quality, and difficulty in reducing the overall size.
因此,已提出使用電子控制的相位式空間光調變器作為變動擴散器以取代機械式的移動擴散片。相位式空間光調變器係依據預先找出的控制參數,來調變通過其的光之波前差,以在最終成像平面中順序地產生序列的光斑影像,序列的光斑影像疊加後形成光斑雜訊降低之最終顯示影像。在找出控制參數時,依據能夠使中間影像產生完全獨立之零相關的光斑影像為準則,來找出降低光斑雜訊的控制參數。使用相位式光間光調變器的系統雖然能夠提供穩定的品質、低功耗且尺寸小,但是,光斑雜訊的降低效率不佳。Therefore, it has been proposed to use an electronically controlled phase spatial light modulator as a variable diffuser instead of a mechanical mobile diffuser. The phase space optical modulator modulates the wavefront difference of light passing through it according to the previously determined control parameters to sequentially generate a sequence of spot images in the final imaging plane, and the spot image of the sequence is superimposed to form a spot. The noise is reduced to the final display image. When the control parameters are found, the control parameters for reducing the spot noise are found according to the criterion that the intermediate image can generate a completely independent zero-correlation spot image. Although the system using the phase optical intermodulation device can provide stable quality, low power consumption, and small size, the reduction efficiency of the spot noise is not good.
慮及上述,須要提供光斑雜訊降低效率顯著增進、且品質穩定、功耗低及尺寸小的同調成像技術。In view of the above, it is necessary to provide a coherent imaging technique in which the noise reduction efficiency of the spot noise is remarkably improved, and the quality is stable, the power consumption is low, and the size is small.
慮及上述,本發明提供能夠顯著降低光斑雜訊的方法及同調光成像設備。In view of the above, the present invention provides a method and a dimming imaging apparatus capable of significantly reducing spot noise.
根據本發明的一態樣,提供光斑雜訊降低方法,用於降低同調光成像設備中形成的影像之光斑雜訊,同調光成像設備包含用於發射同調光以照射要成像的物體之同調光源、及擴散器,所述方法包括下述步驟:依據用於評估二光斑影像之間的相關性之相關係數,產生依序排列的多個光斑影像資料,以致於序列的多個光斑影像資料中彼此相鄰的二光斑影像資料的相關係數小於0;以及,根據序列的多個光斑影像資料,連續地產生對應的且相疊加的多個光斑影像,藉以產生最終顯示影像。According to an aspect of the present invention, a method for reducing a spot noise is provided for reducing spot noise of an image formed in a dimming imaging device, and a dimming imaging device includes a coherent light source for emitting a same dimming light to illuminate an object to be imaged. And a diffuser, the method comprising the steps of: generating a plurality of spot image data sequentially arranged according to a correlation coefficient for evaluating a correlation between the two spot images, such that the plurality of spot image data of the sequence are The correlation coefficient of the two-spot image data adjacent to each other is less than 0; and, according to the plurality of spot image data of the sequence, corresponding and superimposed plurality of spot images are continuously generated, thereby generating a final display image.
此外,產生依序排列的多個光斑影像資料之步驟又包括下述步驟:產生光斑影像資料庫,包含眾多光斑影像資料;依據用於評估二光斑影像之間的相關性之相關係數,計算基本光斑影像資料與光斑影像資料庫中的任一光斑影像資料形成的成對光斑影像資料的相關係數,以及計算成對光斑影像資料的總合影像資料的光斑對比值,以致於得到相關係數小於0且總合影像資料的光斑對比值最小的成對光斑影像資料,及將總合影像資料作為序列的多個光斑影像資料中之第n個光斑影像資料,n為整數,其中,當未產生序列的任何光斑影像資料時,基本光斑影像資料係選自光斑影像資料庫中的任一光斑影像資料,否則,基本光斑影像資料是序列的多個光斑影像資料中的第(n-1)個光斑影像資料。In addition, the step of generating a plurality of spot image data in sequence includes the following steps: generating a spot image database containing a plurality of spot image data; and calculating a basic basis according to a correlation coefficient for evaluating correlation between the two spot images Correlation coefficient of the paired spot image data formed by the spot image data and any spot image data in the spot image database, and the spot contrast value of the total image data of the paired spot image data, so that the correlation coefficient is less than 0 And the paired spot image data with the smallest spot contrast value of the total image data, and the nth spot image data of the plurality of spot image data of the combined image data, n is an integer, wherein when no sequence is generated In any spot image data, the basic spot image data is selected from any spot image data in the spot image database. Otherwise, the basic spot image data is the (n-1) spot in the plurality of spot image data of the sequence. video material.
根據本發明的光斑雜訊降低方法能夠應用至同調光成像設備以降低其形成的影像之光斑雜訊,所述同調光成像包含:同調光源,用於發射同調光以照射要成像的物體;第一成像光學單元,根據照射物體的同調光以形成物體的第一影像;及擴散器,用於調變第一影像。The spot noise reduction method according to the present invention can be applied to a dimming imaging device to reduce spot noise of an image formed therefrom, the coherent light imaging comprising: a homology light source for emitting the same dimming light to illuminate an object to be imaged; An imaging optical unit that forms a first image of the object according to the same dimming of the illuminated object; and a diffuser for modulating the first image.
較佳地,同調光源是選自雷射光源、X光源、及超音波源中之一,以及擴散器可以是空間光調變器。Preferably, the coherent light source is one selected from the group consisting of a laser source, an X source, and an ultrasonic source, and the diffuser may be a spatial light modulator.
根據本發明,依據負相關準則來產生累加的光斑影像,能夠顯著地降低影像中的光斑雜訊,而取得高度清晰的影像。According to the present invention, the generation of the accumulated spot image based on the negative correlation criterion can significantly reduce the spot noise in the image and obtain a highly clear image.
將參考附圖,詳述本發明的實施例。但是,本發明不侷限於下述說明,且在不悖離本發明的精神及範圍之下,習於此技藝者可以容易地改變模式及細節。因此,本發明不應被解釋為侷限於下述實施例的說明。Embodiments of the present invention will be described in detail with reference to the drawings. However, the present invention is not limited to the following description, and the mode and details can be easily changed by those skilled in the art without departing from the spirit and scope of the invention. Therefore, the present invention should not be construed as being limited to the description of the embodiments described below.
首先,參考圖1及圖2,說明根據本發明的方法之降低影像中的光斑之實施例。First, an embodiment of reducing a spot in an image in accordance with the method of the present invention will be described with reference to FIGS. 1 and 2.
圖1係顯示同調成像系統的實例,其中,同調成像系統100包含同調光源102、第一成像透鏡104、擴散器106、及第二成像透鏡108。同調光源102發射同調光以照射要成像的物體103,然後經過第一成像透鏡104而在擴散器106設置處的中間成像平面中形成中間影像,中間影像經由擴散器106實施光斑雜訊降低處理(稍後詳述),然後,再經過二次透鏡108而在最終成像平面110形成對應的影像。1 is an example of a coherent imaging system in which a coherent imaging system 100 includes a coherent light source 102, a first imaging lens 104, a diffuser 106, and a second imaging lens 108. The coherent light source 102 emits the same dimming light to illuminate the object 103 to be imaged, and then forms an intermediate image in the intermediate imaging plane where the diffuser 106 is disposed through the first imaging lens 104, and the intermediate image performs the spot noise reduction processing via the diffuser 106 ( Details will be made later, and then a corresponding image is formed on the final imaging plane 110 through the secondary lens 108.
同調光源102可以是任何產生同調光的光源,舉例而言,雷射光源、超音波光源、X光源、等等。在本說明書中,將以雷射光源為例說明,但是,本發明不限於此。The coherent light source 102 can be any light source that produces the same dimming light, for example, a laser source, an ultrasonic source, an X source, and the like. In the present specification, a laser light source will be described as an example, but the present invention is not limited thereto.
根據本發明的實施例,擴散器106為相位式空間光調變器裝置,舉例而言,可為液晶裝置面板、矽上液晶(LCoS)裝置等等。相位式空間光調變器裝置包含眾多像素,經由改變施加至各像素之例如電壓等電訊號,可以控制通過空間光調變器裝置的光之相位,以降低最終影像中的光斑雜訊。In accordance with an embodiment of the present invention, the diffuser 106 is a phased spatial light modulator device, which may be, for example, a liquid crystal device panel, a liquid crystal on-chip (LCoS) device, or the like. The phase spatial light modulator device includes a plurality of pixels, and by changing the electrical signals such as voltages applied to the respective pixels, the phase of the light passing through the spatial light modulator device can be controlled to reduce the spot noise in the final image.
圖2(a)顯示舉例說明之要形成影像的原始物體200,圖2(b)顯示根據本發明的方法而產生的對應於原始物體之第一光斑影像(也稱為第一光斑圖案),圖2(c)顯示根據本發明的方法而產生的第二光斑圖案(也稱為第二光斑圖案),圖2(d)顯示根據本發明的方法而產生之第二光斑影像完全疊加(或稱累加)於第一光斑影像上而形成總合影像,總合光斑影像係根據本發明的方法而降低光斑雜訊的影像,其係觀看者視覺上感受到的原始物體的顯示影像。此處,為了簡明起見,以圖2(d)中的二光斑影像的總合光斑影像作為顯示影像來作說明,但是,實際上,顯示影像不侷限於二個光斑影像的總合影像,可以是二個以上之光斑影像的總合。2(a) shows an original object 200 exemplified to form an image, and FIG. 2(b) shows a first spot image (also referred to as a first spot pattern) corresponding to the original object generated according to the method of the present invention, 2(c) shows a second spot pattern (also referred to as a second spot pattern) produced in accordance with the method of the present invention, and FIG. 2(d) shows a second spot image produced by the method of the present invention completely superimposed (or The sum image is formed on the first spot image to reduce the image of the spot noise, which is a display image of the original object visually perceived by the viewer. Here, for the sake of brevity, the total combined spot image of the two spot images in FIG. 2(d) is used as the display image. However, in reality, the display image is not limited to the combined image of the two spot images. It can be the sum of two or more spot images.
接著說明使用如圖1所示的同調成像系統100來形成影像的情形。首先,來自同調光源102的光照射例如圖2(a)中所示的物體103,再經由第一成像透鏡104而成像在中間成像平面上。此時,設在中間成像平面處的擴散器106執行光斑降低處理,以使通過設於其中的各像素的光產生波前相位差,然後經由第二成像透鏡108而在最終成像平面處形成如同上述圖2(b)所示的第一光斑影像。接著,在預定的時間間隔之內,類似地,擴散器106又再度執行光斑雜訊降低處理,以使通過設於其中的各像素的光又產生波前相位差,然後,經由第二成像透鏡108而在最終成像平面形成如同上述圖2(c)所示的第二光斑影像。第二光斑影像疊加於第一光斑影像上而形成原始物體100之最後的顯示影像。由於所述預定的時間間隔係選定成小於人眼的視覺暫留時間、或影像擷取裝置的曝光時間,所以,使用者實質上觀看、或擷取到的物體之顯示影像是第二光斑影像疊加於第一光斑影像而形成的總合影像。因此,總合影像中的光斑雜訊降低程度視第一光斑影像及第二光斑影像而定,更具體而言,總合影像的光斑雜訊降低程度視第一光斑影像及第二光斑影像的相關性而定。Next, a case where an image is formed using the coherent imaging system 100 shown in FIG. 1 will be described. First, light from the coherent light source 102 illuminates, for example, the object 103 shown in FIG. 2(a), and is imaged on the intermediate imaging plane via the first imaging lens 104. At this time, the diffuser 106 provided at the intermediate imaging plane performs a spot reduction process to generate a wavefront phase difference by the light of each pixel provided therein, and then forms a final image plane at the final imaging plane via the second imaging lens 108. The first spot image shown in Fig. 2(b) above. Then, within a predetermined time interval, similarly, the diffuser 106 again performs the spot noise reduction process to generate a wavefront phase difference again by the light of each pixel disposed therein, and then, via the second imaging lens. 108 forms a second spot image as shown in FIG. 2(c) above in the final imaging plane. The second spot image is superimposed on the first spot image to form the last displayed image of the original object 100. Since the predetermined time interval is selected to be smaller than the visual persistence time of the human eye or the exposure time of the image capturing device, the display image of the object that the user substantially views or captures is the second spot image. A total image formed by superimposing on the first spot image. Therefore, the degree of reduction of the spot noise in the aggregate image depends on the first spot image and the second spot image. More specifically, the degree of spot noise reduction of the combined image depends on the first spot image and the second spot image. Depends on relevance.
關於第一光斑影像及第二光斑影像的相關性,在習知技術中,係以產生零相關的第一光斑影像及第二光斑影像作為準則,以取得所需的顯示結果,但是,其降低影像中的光斑雜訊之效果不佳。Regarding the correlation between the first spot image and the second spot image, in the prior art, the first spot image and the second spot image with zero correlation are used as criteria to obtain a desired display result, but the reduction is performed. The effect of the spot noise in the image is not good.
在下述中,將說明根據本發明之二光斑影像的相關性選取準則。In the following, the correlation selection criteria of the two-spot image according to the present invention will be explained.
由於影像中的光斑雜訊之產生是導因於干涉,因此,以光的強度或是光波的振幅之觀點而言,以光斑對比值C來評估光斑影像(或稱光斑圖案)中的強度波動。光斑對比值C定義為光斑影像的強度之標準偏差相對於光斑影像的強度的平均值,如下述式(1)所示:Since the generation of the spot noise in the image is caused by the interference, the intensity fluctuation in the spot image (or the spot pattern) is evaluated by the spot contrast value C from the viewpoint of the intensity of the light or the amplitude of the light wave. . The spot contrast value C is defined as an average value of the standard deviation of the intensity of the spot image with respect to the intensity of the spot image, as shown by the following formula (1):
其中,及σ分別是光斑影像強度之平均值及標準差。among them, And σ are the average and standard deviation of the spot image intensity, respectively.
根據光斑對比值C,具有愈小的光斑對比值的光斑影像或圖案,則表示其光斑雜訊被降低愈多。具有固定強度(亦即無光斑波動)的影像具有最小的C值,例如零。According to the spot contrast value C, the spot image or pattern having the smaller spot contrast value indicates that the spot noise is reduced more. Images with a fixed intensity (ie, no spot fluctuations) have a minimum C value, such as zero.
光斑影像中各點的光強度可以使用陣列來表示。舉例而言,假定I1 及I2 分別代表二個各別的第一光斑影像及第二光斑影像的強度陣列。舉例而言,以具有總共1024個像素的光斑影像而言,陣列I1 =[P1 (1),P1 (2),…P1 (1024)],陣列I2 =[P2 (1),P2 (2),…P2 (1024)],其中,P1 (1)代表由空間光調變器中的第1像素偵測到的第一光斑影像中對應點的光強度,P1 (2)代表第2像素偵測到的第一光斑影像中對應點的光強度,其餘依此類推。The light intensity at each point in the spot image can be represented using an array. For example, assume that I 1 and I 2 represent an intensity array of two respective first and second spot images, respectively. For example, in the case of a spot image having a total of 1024 pixels, the array I 1 = [P 1 (1), P 1 (2), ... P 1 (1024)], the array I 2 = [P 2 (1 ), P 2 (2), ... P 2 (1024)], wherein P 1 (1) represents the light intensity of the corresponding point in the first spot image detected by the first pixel in the spatial light modulator, P 1 (2) represents the light intensity of the corresponding point in the first spot image detected by the second pixel, and so on.
任意光斑圖案的光斑對比值可以如式1所示般以下式表示:The spot contrast value of any spot pattern can be expressed as follows:
其中,m=1,2,…n之自然數。Among them, the natural number of m=1, 2,...n.
因此,對於第一光斑影像及第二光斑影像,它們的光斑對比值分別為C1 (=σ1 /)及C2 (=σ2 /)。Therefore, for the first spot image and the second spot image, their spot contrast values are C 1 (=σ 1 / ) and C 2 (=σ 2 / ).
在上述中已說明用於評估光斑影像中的光斑雜訊之光斑對比值C。The spot contrast value C for evaluating the spot noise in the spot image has been described above.
二個光斑影像的相關性可以以相關係數ρ1,2 來界定,相關係數ρ1,2 定義如下:Correlation of two speckle images of the correlation coefficient ρ 1,2 may be defined, the correlation coefficient ρ 1,2 is defined as follows:
其中,I1 及I2 分別為第一光斑影像及第二光斑影像的強度陣列,及及分別是第一及第二光斑影像強度之平均值,σ1 及σ2 分別是第一及第二光斑影像強度的標準偏差。Wherein, I 1 and I 2 are intensity arrays of the first spot image and the second spot image, respectively. and And the average of the intensity of the first and second spot images, respectively, and σ 1 and σ 2 are the standard deviations of the intensity of the first and second spot images, respectively.
及分別是陣列I1 及I2 中的各點強度的平均值。舉例而言,=P1 (1)+P1 (2)+…+P1 (1024)/1024。 and They are the average of the intensity of each point in the arrays I 1 and I 2 , respectively. For example, =P 1 (1)+P 1 (2)+...+P 1 (1024)/1024.
根據式(3),可知相關係數ρ1,2 在-1至1的範圍中。According to the formula (3), it is understood that the correlation coefficient ρ 1,2 is in the range of -1 to 1.
假定二影像累加時的強度總合IS 表示為IS =I1 +I2 時,則依據式(1),二影像的總合之光斑對比值CS 可表示為式(4)Assuming that the sum of the intensities I S when the two images are accumulated is expressed as I S =I 1 +I 2 , according to the formula (1), the sum of the spot contrast values C S of the two images can be expressed as the formula (4).
傳統上,僅依據二影像的強度標準差σs 相對於強度總合之平均值的比值,亦即式(4)所示的CS 值,作為光斑雜訊降低效果的評估值。習知技術以零相關(亦即,ρ1,2 =0)的二光斑影像作為降低光斑雜訊的準則。簡言之,習知技術係在二光斑影像視完全獨立,亦即,零相關的前提下,進行光斑雜訊降低處理。但是,根據習知的零相關的準則,並無法取得令人滿意的光斑雜訊降低效果。Traditionally, only based on the average of the intensity standard deviation σ s of the two images versus the sum of the intensities The ratio, that is, the C S value shown by the formula (4), is used as an evaluation value of the spot noise reduction effect. Conventional techniques use a two-spot image with zero correlation (ie, ρ 1,2 =0) as a criterion for reducing spot noise. In short, the conventional technique performs the reduction of the spot noise under the premise that the two-spot image is completely independent, that is, zero correlation. However, according to the well-known zero correlation criterion, satisfactory spot noise reduction effects cannot be obtained.
僅依靠零相關準而未考慮其它可能相關的習知理論並無法滿足光斑雜訊降低的要求。基於此理由,本發明人長期研究,發現及完成負相關原理,並發明以負相關為準則之光斑雜訊降低方法及使用其之設備,其效果顯著增進。It is not possible to meet the requirements of reduced speckle noise by relying only on zero correlation and not considering other well-known conventional theories. For this reason, the inventors have long studied, discovered and completed the principle of negative correlation, and invented the method of reducing the noise of the spot noise using the negative correlation as a criterion and the apparatus using the same, and the effect thereof is remarkably improved.
於下,將進一步說明本發明的發明人的負相關準則之原理。Hereinafter, the principle of the negative correlation criterion of the inventors of the present invention will be further explained.
二影像累加的總合影像的強度平均值為二各別影像的強度平均值相加,如下述式(5)所示:The average intensity of the sum image of the two images Add the average values of the intensities of the two separate images as shown in the following equation (5):
然後,根據二影像的強度求出變異值,如下述(6)所示。由於標準差的平方即為變異值,因此,從式(6)取得的變異值,即取得標準差σs 。Then, the variation value is obtained according to the intensity of the two images. , as shown in the following (6). Since the square of the standard deviation is the variation value, the variation value obtained from equation (6) , that is, the standard deviation σ s is obtained.
接著,在評估總合影像的光斑對比值CS 時,根據式(4)、如式(5)所示取得的總合影像之強度平均值及依據(6)式取得的標準差σs ,則總合影像的光斑對比值CS 表示為下述式(7):Next, when evaluating the spot contrast value C S of the total image, the average value of the sum image obtained according to the formula (4) and the equation (5) is obtained. And the standard deviation σ s obtained according to the formula (6), the spot contrast value C S of the total image is expressed by the following formula (7):
從式(7)中,清楚得知得總合影像的光斑對比值CS 取決於第一和第二光斑影像的強度平均值和及光斑對比值C1 和C2 、以及第一及第二光斑影像的相關係數ρ1,2 。因此,在評估光斑雜訊降低效果時,根據本發明,能夠考慮二光斑影像的各種可能的相關性,並據以作為取得優良的光斑雜訊降低效率。From equation (7), it is clear that the spot contrast value C S of the combined image depends on the intensity average of the first and second spot images. with And the spot contrast values C 1 and C 2 , and the correlation coefficients ρ 1,2 of the first and second spot images. Therefore, in evaluating the spot noise reduction effect, according to the present invention, various possible correlations of the two-spot image can be considered, and it is possible to achieve excellent spot noise reduction efficiency.
如先前所述般,在執行同調成像時,形成二光斑影像的時間間隔相當短,用於形成二光斑影像的同調光源的強度維持不變,所以,二光斑影像具有相等的平均強度,亦即,。因此,式(7)可簡化成如下述式(8)所示:As described above, when performing the homology imaging, the time interval for forming the two-spot image is relatively short, and the intensity of the coherent light source for forming the two-spot image remains unchanged, so that the two-spot image has an equal average intensity, that is, , . Therefore, the formula (7) can be simplified as shown in the following formula (8):
根據本發明,使用抑制因數Cf 使來評估二光斑圖案總合的光斑雜訊降低效果,抑制因數Cf 定義如下:According to the present invention, the spot noise reduction effect of the sum of the two spot patterns is evaluated using the suppression factor Cf , and the suppression factor Cf is defined as follows:
根據本發明,Cavg 是二光斑圖案的光斑對比值C1 及C2 的平均值,亦即,Cavg =(C1 +C2 )/2。According to the invention, C avg is the average of the spot contrast values C 1 and C 2 of the two-spot pattern, that is, C avg = (C 1 + C 2 )/2.
因此,抑制因數Cf 可以如下述式(10)般表示:Therefore, the suppression factor C f can be expressed as in the following formula (10):
根據式(10),可以考慮負相關、零相關、及正相關來決定要疊加的二分別光斑影像。圖3顯示根據等式(10)作圖之抑制因數Cf 相對於相關性係數ρ1,2 的關係,此關係圖係基於具有相等平均強度(亦即,)及完全發展的二個光斑影像(亦即,C1 =C2 =1)之條件而製成的。According to equation (10), negative correlation, zero correlation, and positive correlation can be considered to determine the two separate spot images to be superimposed. Figure 3 shows the relationship of the suppression factor C f plotted against equation (10) with respect to the correlation coefficient ρ 1,2 , which is based on having equal average intensities (i.e., And the conditions of the fully developed two spot images (ie, C 1 = C 2 =1).
圖3顯示根據式(10)的抑制因數Cf 與ρ1,2 的關係圖。從圖3清楚可見,當具有完全發展的光斑之二光斑影像是不相關(或獨立)時,亦即,ρ1,2 =0時,它們的強度總合的抑制因數Cf 等於1/,與傳統的理論值一致。當ρ1,2 =1及C1 =C2 時,則Cf =1,代表總合的光斑影像與二個光斑影像中的每一光斑影像相同,所以,完全未抑制任何光斑雜訊。但是,當ρ1,2 =-1及C1 =C2 時,則Cf =0,代表總合的光斑影像未含有強度波動,亦即光斑雜訊完全被消除。ρ1,2 等於零(0)的情形意指二光斑影像零相關,ρ1,2 大於零(0)的情形稱為正相關,ρ1,2 小於零(0)的情形稱為負相關。Fig. 3 is a graph showing the relationship between the suppression factor C f and ρ 1,2 according to the formula (10). It can be clearly seen from Fig. 3 that when the two spot images with fully developed spots are irrelevant (or independent), that is, when ρ 1,2 =0, their total intensity suppression factor C f is equal to 1/ , consistent with traditional theoretical values. When ρ 1,2 =1 and C 1 =C 2 , then C f =1, which means that the combined spot image is the same as each spot image in the two spot images, so no spot noise is completely suppressed. However, when ρ 1,2 =-1 and C 1 =C 2 , then C f =0, the image of the spot representing the total does not contain intensity fluctuations, that is, the spot noise is completely eliminated. The case where ρ 1,2 is equal to zero (0) means that the two-spot image has zero correlation, the case where ρ 1,2 is greater than zero (0) is called positive correlation, and the case where ρ 1,2 is smaller than zero (0) is called negative correlation.
從圖3中清楚可知,在正相關時,抑制因數大於1/,在負相關時,抑制因數更小,代表更高的光斑雜訊抑制效率。因此,負相關的二個光斑影像將能提供顯著增進的光斑雜訊抑制效率。此外,抑制因數愈小代表光斑雜訊抑制效率愈高。As is clear from Fig. 3, when the correlation is positive, the suppression factor is greater than 1/ In the case of negative correlation, the suppression factor is smaller, representing higher spot noise suppression efficiency. Therefore, the negatively correlated two spot images will provide significantly improved spot noise suppression efficiency. In addition, the smaller the suppression factor, the higher the efficiency of the spot noise suppression.
上述已清楚說明根據本發明的發明人創造的負相關原理。接著,將參考圖4的流程圖,說明根據本發明的負相關原理,降低光斑雜訊降的操作處理。The negative correlation principle created by the inventors according to the present invention has been clearly explained above. Next, the operation processing for reducing the spot noise drop according to the negative correlation principle of the present invention will be explained with reference to the flowchart of FIG.
如圖4所示,在處理500中,產生預定組數M的負相關成對光斑影像。此處,以M=10為例說明,但是,M並無特別限定,可以是至少不小於2的任何自整數值。可以視設計需求、成像設備的需求及資源、等等而定。As shown in FIG. 4, in process 500, a negative correlation paired spot image of a predetermined number M is generated. Here, M=10 is taken as an example, but M is not particularly limited and may be any self-integer value of at least not less than 2. Depending on the design requirements, the needs and resources of the imaging equipment, etc.
圖5顯示處理500的流程圖。在步驟S510中,隨機地產生初始光斑影像資料作為基本光斑影像資料。光斑影像資料是例如陣列形式的影像強度、相位等表示影像的資料,因此,此處所指之隨機地產生初始光斑影像資料,實質上係隨機地產生0至2π範圍的相位值θ來代表光斑影像。因此,以產生隨機亂數之方式,來產生對應於初始光斑影像的相位元陣列。FIG. 5 shows a flow diagram of process 500. In step S510, initial spot image data is randomly generated as basic spot image data. The spot image data is, for example, image intensity, phase, and the like in the form of an array. Therefore, the initial spot image data is randomly generated as described herein, and the phase value θ in the range of 0 to 2π is randomly generated to represent the spot image. . Thus, a phase element array corresponding to the initial spot image is generated in a manner that produces a random number of random numbers.
接著,在步驟S520中,隨機地產生預定數目T的眾多光斑影像資料作為比較光斑影像資料。關於比較光斑影像的數目可視應用需求及資源而定,並無特別限定。舉例而言,T=1,000,000。Next, in step S520, a plurality of spot image data of a predetermined number T are randomly generated as comparative spot image data. The number of comparison spot images may be determined depending on application requirements and resources, and is not particularly limited. For example, T=1,000,000.
接著,在步驟S530中,依據式(3)及(10),計算眾多比較光斑影像資料中的每一比較光斑影像資料在與基本光斑影像資料配對而形成總合影像時的Cf 值,並從中選取具有最負相關係數ρ1,2 (Cf 值最小)的配對影像,以及,將此比較光斑影像資料儲存。然後,將選出的比較光斑影像資料與初始光斑影像資料相累加(疊加)而取得總合影像資料,可用以形成總合影像。將組數M增量1。Next, in step S530, according to equations (3) and (10), calculate a C f value of each of the plurality of comparative spot image data when paired with the basic spot image data to form a combined image, and A paired image having the most negative correlation coefficient ρ 1,2 (the smallest value of C f ) is selected therefrom, and the comparative spot image data is stored. Then, the selected comparative spot image data and the initial spot image data are accumulated (superimposed) to obtain the combined image data, which can be used to form a combined image. Increase the number of groups M by 1.
接著,進行至步驟S540中,以決定組數M是否達到預定數目,例如10。如果尚未達預定數目,則處理進行至步驟S550。Next, it proceeds to step S540 to determine whether the number of groups M reaches a predetermined number, for example, 10. If the predetermined number has not been reached, the process proceeds to step S550.
在步驟S550中,將步驟S540中取得的總合影像資料設定成基本光斑影像資料。然後,返回至步驟S520,繼續找出下一組Cf 值最小的負相關成對光斑影像資料,直到M達到預定次數為止。In step S550, the aggregated image data acquired in step S540 is set as the basic spot image data. Then, returning to step S520, it continues to find the next set of negative correlation paired spot image data having the smallest C f value until M reaches a predetermined number of times.
在完成處理500之後,得到預定的M組具有負相關的成對光斑影像資料。光斑影像資料(例如相位等)可以轉換成對應地控制擴散器的控制訊號,以控制擴散器來將實體物體的中間影像形成為光斑影像並相疊加而形成總合影像。After processing 500 is completed, a predetermined set of M pairs of spot image data having a negative correlation is obtained. The spot image data (eg, phase, etc.) can be converted into a control signal that controls the diffuser correspondingly to control the diffuser to form an intermediate image of the solid object into a spot image and superimpose to form a combined image.
表1顯示根據處理500,在M=10及T=1,000,000的條件一,取得的10個負相關的光斑影像資料以及它們的的光斑抑制因數Cf 和相關係數ρ。如表1所示,m=1及m=2代表的二光斑影像配對時二者的相關係數為-0.262且Cf =0.600,m=2及m=3代表的二光斑影像配對時二者的相關係數為-0.275且Cf =0.448,其餘依此類推。值得注意的是,根據處理500之迭代操作(步驟S520至S550),第m個影像資料是第1個影像至第m-1個影像資料的總合影像資料。Table 1 shows the 10 negatively correlated spot image data obtained under Condition 1 of M = 10 and T = 1,000,000 according to the process 500, and their spot suppression factor Cf and correlation coefficient ρ. As shown in Table 1, the two-spot image pairing represented by m=1 and m=2 has a correlation coefficient of -0.262 and C f =0.600, and m=2 and m=3 represent the two-spot image pairing. The correlation coefficient is -0.275 and C f = 0.448, and so on. It should be noted that, according to the iterative operation of the process 500 (steps S520 to S550), the mth image data is the total image data of the first image to the m-1th image data.
此外,在零相關條件下,進行降低光斑雜訊之光斑影像搜尋,以與根據本發明的負相關實施結果相比較,其取得之結果,如表2所示。In addition, under zero-correlation conditions, spot image search for reducing spot noise is performed to compare the results of the negative correlation implementation according to the present invention, as shown in Table 2.
從表1及表2中,清楚可見,在m=4時,根據本發明的負相關準則之實施例取得的Cs值為0.334,比根據零相關取得的0.485顯著地低(低約31.8%)。在m=10時,Cs值分別為0.164及0.31.5,更顯著地低(低約48%)。From Tables 1 and 2, it is clear that at m=4, the Cs value obtained by the embodiment of the negative correlation criterion according to the present invention is 0.334, which is significantly lower than the 0.485 obtained by the zero correlation (about 31.8% lower). . At m=10, the Cs values were 0.164 and 0.31.5, respectively, and were significantly lower (about 48% lower).
從上可知,根據本發明的負相關原理,能夠顯著地降低光斑雜訊。As apparent from the above, according to the negative correlation principle of the present invention, the spot noise can be remarkably reduced.
如上所述地,以處理500取得眾多負相關的光斑影像資料之後,進行至處理600。As described above, after the processing 500 acquires a plurality of negatively correlated spot image data, the process proceeds to process 600.
在處理600中,進一步從處理500中取得的眾多負相關光斑資料中,選取所需的多個負相關光斑影像資料,藉以產生對應的多個負相關光斑影像及將它們相疊加來形成最後顯示的影像。較佳地,選取負相關係數愈小(愈負)的光斑影像資料以形成對應的光斑影像。關於選出的光斑影像之數目,取決於要應用的同調光成像設備的資源及設計。舉例而言,視同調光成像設備中擴散器的響應速度而決定要選出的光斑圖案數目,以致於能夠在視覺暫留時間內完成這些光斑圖案疊加而形成使用者看到之最終顯示的總合影像。In the process 600, further selecting, from the plurality of negative correlation spot data obtained in the process 500, a plurality of negative correlation spot image data required to generate a corresponding plurality of negative correlation spot images and superimposing them to form a final display. Image. Preferably, the spot image data of the negative correlation coefficient is selected to be smaller (more negative) to form a corresponding spot image. The number of selected spot images depends on the resources and design of the same dimming imaging device to be applied. For example, the number of spot patterns to be selected is determined depending on the response speed of the diffuser in the dimming imaging device, so that the spot pattern superimposition can be completed within the visual retention time to form a total display of the final display seen by the user. image.
上述已說明根據本發明的光斑雜訊降低方法的實施例。The embodiment of the flare noise reduction method according to the present invention has been described above.
當根據本發明的光斑雜訊降低方法取得的負相關光斑影像資料輸入至如圖1所示之同調光成像設備100中,以作為控制擴散器106的控制參數時,擴散器106會依據控制參數來處理中間影像以形成光斑影像110。當將4個負相關的光斑影像之相位值輸至同調光成像設備100中時,則最終的顯示影像係4個光斑影像疊加而成的總合影像,其光斑雜訊顯著地降低。When the negative correlation spot image data obtained by the spot noise reduction method according to the present invention is input to the same dimming imaging device 100 as shown in FIG. 1 as a control parameter for controlling the diffuser 106, the diffuser 106 according to the control parameter The intermediate image is processed to form a spot image 110. When the phase values of the four negatively correlated spot images are input to the same dimming imaging device 100, the final display image is a superimposed image in which the four spot images are superimposed, and the spot noise is significantly reduced.
可以在與同調光成像設備100獨立的例如電腦等計算系統中,依據根據本發明的光斑雜訊方法,取得所需的負相關光斑影像的相位資料。然後,將這些資料輸入至同調光成像設備100中以作為控制擴散器106來降低顯示影像中的光斑雜訊。這些資料可以內建於同調光成像設備中或是自其通訊埠或輸入埠中輸入,也可以儲存在電腦可讀取的媒體中,再由同調光成像設備讀取。The phase data of the desired negative correlation spot image can be obtained in accordance with the spot noise method according to the present invention in a computing system such as a computer independent of the dimming imaging device 100. These data are then input to the same dimming imaging device 100 as a control diffuser 106 to reduce spot noise in the displayed image. These data can be built into the same dimming imaging device or input from their communication port or input port, or stored in a computer readable medium, and then read by the same dimming imaging device.
根據本發明,使用M個不相關的光斑圖案會降低抑制因數(Cf )至1/M1/2 。舉例而言,使用四個負相關光斑圖案(ρ~-0.274)的抑制因數比四個零相關光斑影像的抑制因數下降約31.8%。使用十個負相關光斑圖案(ρ~-0.284)的抑制因數比四個零相關光斑影像的抑制因數下降約48%。因此,本發明能夠顯著地降低影像中的光斑雜訊,而取得高度清晰的影像。According to the present invention, the use of M uncorrelated spot patterns reduces the suppression factor ( Cf ) to 1/M 1/2 . For example, the suppression factor using four negative correlation spot patterns (ρ ~ -0.274) is about 31.8% lower than the suppression factor of the four zero correlation spot images. The suppression factor using ten negative correlation spot patterns (ρ ~ -0.284) is about 48% lower than the suppression factor of the four zero correlation spot images. Therefore, the present invention can significantly reduce the spot noise in the image and obtain a highly clear image.
在上述中,以實施例為例說明本發明,但是,僅為舉例說明,並非要限定發明的範圍。本說明書揭示的新穎實施例可以以不同的其它形式具體實施;此外,在不悖離發明的精神之下,可以省略、替代、及改變此處所述的實施例的形式。後附的申請專利範圍及其均等範圍涵蓋落在發明的範圍及精神之內的這些形式或修改。In the above, the present invention is described by way of examples, but is not intended to limit the scope of the invention. The novel embodiments disclosed herein may be embodied in various other forms and the embodiments of the embodiments described herein may be omitted, without departing from the spirit of the invention. The scope of the appended claims and their equivalents are intended to cover such forms or modifications within the scope and spirit of the invention.
100...同調光成像設備100. . . Same dimming imaging device
102...同調光源102. . . Coherent light source
103...物體103. . . object
104...第一成像透鏡104. . . First imaging lens
106...擴散器106. . . Diffuser
108...第二成像透鏡108. . . Second imaging lens
110...最終成像平面110. . . Final imaging plane
圖1係顯示同調光成像設備的架構實例;1 is an example of the architecture of a dimming imaging device;
圖2(a)至2(d)分別顯示要由同調光成像設備成像的原始物體、對應於原始物體之第一光斑影像、對應於原始物體之第二斑影像、及總合影像,用於說明根據本發明的降低影像中光斑雜訊的方法實施例;2(a) to 2(d) respectively show an original object to be imaged by the same dimming imaging device, a first spot image corresponding to the original object, a second spot image corresponding to the original object, and a combined image for respectively An embodiment of a method for reducing flare noise in an image according to the present invention is illustrated;
圖3顯示根據本發明的總合影像的抑制因數Cf 相對於二光斑影像之間的相關係數之理論圖;3 is a theoretical diagram showing a correlation coefficient between a suppression factor Cf of a total image and a two-spot image according to the present invention;
圖4係流程圖,說明根據本發明的光斑雜訊降低方法之實施例;及4 is a flow chart illustrating an embodiment of a method for reducing a spot noise according to the present invention; and
圖5係流程圖,用於說明圖4中所示的負相關光斑影像產生處理。Fig. 5 is a flow chart for explaining the negative correlation spot image generation processing shown in Fig. 4.
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