TWI397402B - Integral method for implant orientation and dental implant drilling guide plate design - Google Patents
Integral method for implant orientation and dental implant drilling guide plate design Download PDFInfo
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- 239000007943 implant Substances 0.000 title claims description 91
- 239000004053 dental implant Substances 0.000 title claims description 23
- 238000000034 method Methods 0.000 title claims description 19
- 238000005553 drilling Methods 0.000 title claims description 18
- 238000013461 design Methods 0.000 title claims description 17
- 210000002303 tibia Anatomy 0.000 claims description 26
- 210000005036 nerve Anatomy 0.000 claims description 16
- 238000005192 partition Methods 0.000 claims description 13
- 210000001519 tissue Anatomy 0.000 claims description 12
- 239000011248 coating agent Substances 0.000 claims description 10
- 238000000576 coating method Methods 0.000 claims description 10
- 238000013439 planning Methods 0.000 claims description 10
- 210000002758 humerus Anatomy 0.000 claims description 9
- 239000011505 plaster Substances 0.000 claims description 8
- 229910052602 gypsum Inorganic materials 0.000 claims description 7
- 239000010440 gypsum Substances 0.000 claims description 7
- 210000000988 bone and bone Anatomy 0.000 claims description 5
- 239000011159 matrix material Substances 0.000 claims description 5
- 238000005253 cladding Methods 0.000 claims description 4
- 210000004513 dentition Anatomy 0.000 claims description 4
- 238000002513 implantation Methods 0.000 claims description 4
- 230000036346 tooth eruption Effects 0.000 claims description 4
- 238000004364 calculation method Methods 0.000 claims description 2
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- 238000005259 measurement Methods 0.000 claims description 2
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- 238000010586 diagram Methods 0.000 description 15
- 238000002591 computed tomography Methods 0.000 description 8
- 238000009826 distribution Methods 0.000 description 6
- 230000033001 locomotion Effects 0.000 description 6
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- 238000001356 surgical procedure Methods 0.000 description 3
- 210000004204 blood vessel Anatomy 0.000 description 2
- 230000001055 chewing effect Effects 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000003384 imaging method Methods 0.000 description 2
- 238000003780 insertion Methods 0.000 description 2
- 230000037431 insertion Effects 0.000 description 2
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- 210000004872 soft tissue Anatomy 0.000 description 2
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- Dental Tools And Instruments Or Auxiliary Dental Instruments (AREA)
- Dental Prosthetics (AREA)
Description
本發明係關於植牙技術之應用,尤指一種可自動規劃較佳之植體方位並將其移轉至植牙鑽孔導引板,藉此建立精確導引板之整合方法。The present invention relates to the application of dental implant technology, and more particularly to an integrated method for automatically planning a preferred implant orientation and transferring it to a dental implant guide plate, thereby establishing a precise guide plate.
隨著三維影像顯示技術的提昇,非侵入式的影像處理方法如電腦斷層影像(CT)、核磁共振造影(MRI)、X光攝影、超音波等技術大量應用醫學領域上,使傳統依靠個人經驗僅以二維影像來推想三維空間的診斷、手術作法,逐漸演變成可參考三維模型,提供更直覺式地參考資訊。在植牙領域方面同樣具有前述演變,於1999年由Materials公司所研發之SurgiGuide系統製作第一塊運用於植牙的外科手術模板,更於2002與2003年分別提出黏膜支持導引模板(mucosa-supported SurgiGuide)與牙齒支持導引模板(tooth-supported SurgiGuide),而在現今已進入電腦輔助植牙的時代。With the advancement of 3D image display technology, non-invasive image processing methods such as computed tomography (CT), magnetic resonance imaging (MRI), X-ray photography, ultrasound, etc. have been applied in many fields of medicine, making tradition rely on personal experience. Only two-dimensional images are used to infer the diagnosis and surgical practice of three-dimensional space, and gradually evolve into a reference three-dimensional model to provide more intuitive reference information. In the field of implants, the same evolution was also made. In 1999, the first SurgiGuide system developed by Materials was used to make the first surgical template for implants. In 2002 and 2003, mucosa-guide templates were also proposed (mucosa- Supported SurgiGuide) and tooth-supported SurgiGuide, which has now entered the era of computer-assisted implants.
市面上以植牙為導向的軟體包含有Nobel BiocareTM 的NobelGuideTM 、Materialise的SimPlant、台灣寶成企業的寶鈺生技股份有限公司自行開發的TDS等系統。The dental implant-oriented software on the market includes Nobel Biocare TM NobelGuide TM , Materialise's SimPlant, and Taiwan's Bao Cheng Enterprise's self-developed TDS system.
A. NobelGuideTM A. NobelGuide TM
由Nobel BiocareTM 公司所開發,在CAD/CAM電腦3D軟體的輔助下,可以由CT掃瞄重建3D模型,進而預先模擬植牙的方向及位置,使手術過程快速而安全相較於其它同類系統,NobelGuideTM 在植牙導引板設計上較為完善,於完成導引板的設計後,由NobelGuide輸出手術導引板,再由系統提供手術鑽孔器具進行植牙路徑鑽孔,手術過程僅用一片植牙導引板,可降低手術成本與二次對位上的誤差。手術計劃前患者需先進行電腦斷層影像掃描,石膏牙模亦需進行掃描建立模型,藉以提高植牙導引板計時所需之牙冠外型精緻度。Developed by Nobel Biocare TM , at With the aid of CAD/CAM computer 3D software, the 3D model can be reconstructed by CT scan, and then the direction and position of the implant can be simulated in advance, so that the surgical procedure is fast and safe compared to other similar systems. NobelGuide TM is in the dental implant guide plate. The design is relatively perfect. After the design of the guide plate is completed, the surgical guide plate is output by NobelGuide, and then The system provides surgical drilling tools for drilling the implant path. Only one piece of dental guide plate is used during the operation, which can reduce the error of the operation cost and the secondary alignment. Before the operation plan, the patient needs to scan the computerized tomography image first, and the plaster dental mold also needs to be scanned to establish the model, so as to improve the crown appearance of the dental guide plate.
B. SimPlant PlannerB. SimPlant Planner
由Materialise研發,該公司為全球快速原型、快速模具(rapid tooling;RT)、快速製造(rapid manufacturing;RM)的大供應商,自1990年起致力於RP領域開發與研究。SimPlant與可說是現今市面上最普遍的兩套植牙系統軟體。SimPlant的特點在於能根據不同植牙狀況,設計不同型態的植牙導引板,分別為骨頭支撐、牙齒支撐與牙齦支撐三種。Developed by Materialise, the company is a global supplier of rapid prototyping, rapid tooling (RT), and rapid manufacturing (RM). Since 1990, it has been working on RP development and research. SimPlant and It can be said that it is the most common two sets of dental implant system software on the market today. SimPlant is characterized by the ability to design different types of dental implant guide plates according to different dental implant conditions, namely bone support, dental support and gingival support.
C. TDS ImplantSmart & SmartGuideC. TDS ImplantSmart & SmartGuide
TDS(TurboDent System)為3D齒雕系統,而ImplantSmart為運用於植牙手術計劃中植體方位規劃之軟體,SmartGuide為輔助手術計劃製造植牙導引板之軟體。植牙導引板的製法方法與ImplantMax3D相同,皆透過CNC工作機台加工產出。The TDS (TurboDent System) is a 3D tooth engraving system, and the ImplantSmart is a software for the implant orientation planning in the implant surgery program. SmartGuide is a software for the auxiliary surgery plan to manufacture the dental implant guide plate. The dental implant guide plate is produced in the same way as the ImplantMax3D, and is produced through the CNC machine.
就前述幾家植牙系統來看,並非每一家系統皆賦予植體路徑規劃的功能,故關於植體分佈與方位仍需藉助醫師手動設定。另一方面,在導引板的設計方面,皆並未考慮到導引板可能發生的干涉問題,亦無提供多項的距離檢測功能以更進一步確保植體路徑規劃的精準性。As far as the above-mentioned dental implant systems are concerned, not every system gives the function of the implant path planning, so the distribution and orientation of the implants still need to be manually set by the physician. On the other hand, in the design of the guide plate, the interference problem that may occur in the guide plate is not considered, and a plurality of distance detection functions are not provided to further ensure the accuracy of the implant path planning.
有鑑於此,本發明係提供一種植體分佈及鑽孔導引板建立方法,透過植體分佈範圍設定與植體數目設定,以數據化之專家經驗與法則自動判體植體方位資訊,並於設計鑽孔導引板時考量植體位置、導引板包覆範圍、鑽孔器械運作高度等多項因素而建立精確的植牙鑽孔導引板,以應用於臨床植牙手術。In view of the above, the present invention provides an implant distribution and a method for establishing a drill guide plate, through the distribution of the implant distribution range and the number of implants, and automatically determining the orientation information of the implant by using the expert experience and rules of data digitization, and When designing the drilling guide plate, various factors such as the position of the implant, the covering range of the guiding plate, and the working height of the drilling device are considered to establish an accurate dental implant guiding guide plate for clinical dental implant surgery.
欲達上述目的所使用的主要技術係令該植牙植體方位規劃暨植牙鑽孔導引板設計之整合方法包含有:取得電腦斷層影像,係將一患者之石膏牙模進行電腦斷層或光學式掃描以取得一石膏牙模掃描影像,並取得同名患者經電腦斷層掃描後之一實際掃描影像;重建顎骨組織影像模型,將前述石膏牙模掃描影像與該實際掃描影像進行套合,重建出一顎骨組織影像模型,該顎骨組織影像模型中包含有牙根、牙齒、神經血管等資訊;建立該患者之動態咬合曲面;設定基準面與參考軸,係匯入前述顎骨組織影像模型及該動態咬合曲面而整合為一三維顎骨模型,於該三維顎骨模型上設定一基準面及一參考軸,該參考軸係直交於基準面;截面分區與切面顯示,係根據參考軸的軸向角度θstart 至θend 做分區,將三維顎骨模型上的一目標區域以度為度量單位進行分區以產生不同角度的顎骨截面輪廓影像;計算植體終點及進入點,係根據三維顎骨模型中之顎骨、神經血管與牙根的相對位置而制定一安全終點線;建立植牙鑽孔導引板,係進一步包含有設定鑽孔導引板包覆區域、建立導引板內壁網格、建立導引板外壁網格、接合內外壁網格及導引板模型輸出之步驟,其中:於建立鑽孔導引板內壁網格之步驟中先建立資料點,於θstart 至θend 所劃分的各個分區內,根據深度(r)劃分為多等份,並於各等份內找尋最高點,作為各佈點的高度值,以避免干涉現象的發生。The main technique used to achieve the above objectives is to integrate the implant orientation planning and implant drilling guide plate design method: to obtain a computerized tomographic image, a patient's plaster dental mold is subjected to computerized tomography or Optical scanning to obtain a gypsum dental scan image, and obtain a real scan image of the same name patient after computerized tomography scan; reconstruct the humeral tissue image model, and fit the gypsum dental model scan image with the actual scan image to reconstruct An imaging model of the humerus tissue is included, and the imaging model of the tibia tissue includes information such as roots, teeth, and nerve vessels; establishing a dynamic occlusal surface of the patient; setting a reference surface and a reference axis, and incorporating the sacral tissue image model and the dynamic The occlusal surface is integrated into a three-dimensional tibia model, and a reference plane and a reference axis are set on the three-dimensional tibia model, the reference axis is orthogonal to the reference plane; the section partition and the section display are based on the axial angle θ start of the reference axis θ end to do the partitions, a target area on the three-dimensional model of the jaw bone as a unit of measurement is partitioned The humeral cross-sectional contour image is generated at different angles; the end point and the entry point of the implant are calculated, and a safe end line is established according to the relative positions of the tibia, nerve blood vessels and roots in the three-dimensional tibia model; Further comprising the steps of setting a cladding guide plate cladding area, establishing a guide panel inner wall mesh, establishing a guide plate outer wall mesh, joining the inner and outer wall mesh, and guiding the guide plate model output, wherein: establishing the drilling hole In the step of guiding the inner wall grid of the guide plate, the data points are first established, and in each partition divided by θ start to θ end , the depth is divided into multiple equal parts, and the highest point is found in each aliquot, as The height value of each point to avoid interference.
請參考第一圖所示,為本發明之方法流程圖,主要步驟包含有:取得電腦斷層影像(CT)(101),針對需接受植牙治療之患者,係複者患者牙齒產生石膏牙模,牙模主要功用有二點,其一為用於固定標記物定位板,藉該標記物進行影像模型與實體模型間座標轉換,使患者在進行電腦斷層影像掃描前只須進行試戴與微調即可,其二為提供軟組織與齒面資訊來源,軟組織於電腦斷層影像中雖可透過影像中的灰階差異來建立模型,但卻難與週遭組織進行分離,如牙齦與嘴唇間組織灰階值雷同分離不易,或是由於病患口內含金屬的義齒補綴物,造成CT影像的金屬散射假影(artifact),本發明由石膏牙模提供掃描的幾何外型以取代患者牙齒模型。於該石膏牙模上固定該標記物定位板後,對該石膏牙模進行電腦斷層或光學式影像掃描以產生石膏牙模掃描影像;另一方面,患者配戴相同定位板進行電腦斷層影像掃描,以取得所需的實際掃描影像。Please refer to the first figure, which is a flow chart of the method of the present invention. The main steps include: obtaining a computed tomography image (CT) (101), and for a patient who needs to receive dental implants, the patient's teeth produce a plaster tooth mold. There are two main functions of the dental mold. One is for fixing the marker positioning plate. The marker converts the coordinate between the image model and the solid model, so that the patient only needs to try and fine-tune before scanning the computed tomography image. Yes, the second is to provide soft tissue and flank information sources. Soft tissue can be modeled in the computerized tomographic image through the grayscale difference in the image, but it is difficult to separate from the surrounding tissue, such as the gray scale between the gums and the lips. The value of the same separation is not easy, or due to the metal denture patch in the patient's mouth, resulting in metal scattering artifacts of the CT image, the present invention provides a scanned geometric appearance of the gypsum dental mold to replace the patient tooth model. After the marker positioning plate is fixed on the plaster dental mold, the plaster dental mold is subjected to computerized tomography or optical image scanning to generate a gypsum dental model scanning image; on the other hand, the patient wears the same positioning plate for computer tomographic image scanning. To get the actual scanned image you need.
重建顎骨組織影像模型(102),利用前述標記物,將前述石膏牙模掃描影像與患者的實際掃描影像進行套合作業,可重建出較精確的顎骨組織影像模型,由於在實際掃描組織影像皆具有牙根、牙齒、神經血管、肌肉等資訊,在該重建出的顎骨組織影像模型即具有上述資訊以供後續步驟參考使用。Reconstructing the humeral tissue image model (102), using the aforementioned markers to collate the scanned image of the gypsum dental model with the actual scanned image of the patient, and reconstruct a more accurate image of the sacral tissue image, since the actual scanned tissue image is With information on the roots, teeth, nerve vessels, muscles, etc., the reconstructed image of the humerus tissue has the above information for reference in subsequent steps.
建立動態咬合曲面(103),咬合運動包含前突運動、張口閉合運動與側咬運動,這些運動軌跡均可透過追蹤記錄並由數學方法加以參數化,於空間中建立個人咬合運動的參數線,產生個人動態咬合曲面,如第二圖所示,以臼齒為例,由於缺牙部位的牙冠外型可由對側齒列的極限接觸位置(maximum intercuspal position)所定,故追蹤可完整展現臼齒研磨食物的側咬咀嚼運動,即可以其極限接觸位置建立出個人化動態咬合曲面,作為對側牙牙冠頂部外型的參考,其中,有關如何建立患者動態咬合曲面之技術,係已於本國發明專利公開第200920322號「建立個人牙齒咬合曲面及其用於建立義齒模型方法」一案中詳細揭露。A dynamic occlusal surface (103) is created. The occlusal motion includes a bulge motion, a mouth opening motion, and a side bit motion. These trajectories can be tracked and mathematically parameterized to establish a parameter line of the individual occlusion motion in the space. The personal dynamic occlusal surface is generated. As shown in the second figure, taking the molars as an example, since the crown shape of the missing tooth portion can be determined by the maximum intercuspal position of the contralateral dentition, the tracking can fully display the molar grinding. The side bite chewing movement of the food can establish a personalized dynamic occlusal surface at the limit contact position, which serves as a reference for the top shape of the contralateral crown. Among them, the technique of how to establish a dynamic occlusal surface of the patient is a patent for invention in the country. The publication No. 200920322 "Establishing a personal tooth occlusal surface and its method for establishing a denture model" is disclosed in detail.
設定基準面與參考軸(104),匯入該重建出之顎骨組織影像模型與患者動態咬合面,透過相同的座標定位方式,將顎骨組織影像模型與動態咬合面整合為一具有咬合資訊、石膏齒列與顎骨組織資訊之複合式三維顎骨模型,於該三維顎骨模型上再利用圓柱座標系(cylinder reference coordinate)定義參考座標,如附件一(b)所示,該箭頭為圓柱座標系之z軸軸向,扇形線所構成之基準面與該z軸直交,令該基準面儘可能地接近一粗略定義之咬合平面(過門牙中點及兩個大臼齒遠心頰側最突點)的靜態咬合面,該靜態咬合面如圖中三角形所示。The reference plane and the reference axis (104) are set, and the reconstructed sacral tissue image model and the patient dynamic occlusal surface are merged, and the sacral tissue image model and the dynamic occlusal surface are integrated into a occlusal information and plaster through the same coordinate positioning manner. A composite three-dimensional tibia model of dentition and tibia tissue information, and a reference coordinate is defined by a cylinder reference coordinate on the three-dimensional tibia model, as shown in Annex I (b), the arrow is a cylindrical coordinate system In the axial direction of the shaft, the reference plane formed by the fan-shaped line is orthogonal to the z-axis, so that the reference surface is as close as possible to a statically defined occlusal plane (the midpoint of the incisors and the most prominent points of the distal teeth of the two large molars) The occlusal surface, which is shown by the triangle in the figure.
截面分區與切面顯示(105),係根據參考軸的軸向角度做分區,將三維顎骨模型上一目標區域以度為度量單位進行分區以產生不同角度的顎骨截面輪廓影像。The section partitioning and section display (105) is based on the axial angle of the reference axis, and a target area on the three-dimensional tibia model is partitioned by degrees to produce a contour image of the tibia section at different angles.
計算植體進入點(106),當取得前述步驟所產生的顎骨截面輪廓影像後,記錄各顎骨截面輪廓所屬區域,同時計算各張截面影像中顎骨輪廓的取樣點在參考座標系中之深度(r)與高度(z)資訊,隨後根據顎骨外形、神經位置與前述動態咬合曲面,計算植體進入點;本發明在計算植體進入點的方式提供兩種不同實施例,其一為根據個人化之動態咬合面找尋在顎骨截面中對牙咬合曲面的極限位置,進而決定適當的植體進入點,其二為透過顎骨截面慣量軸而決定植體進入點。The implant entry point (106) is calculated. After obtaining the humeral cross-sectional contour image generated by the foregoing steps, the region to which each humeral cross-sectional contour belongs is recorded, and the depth of the sampling point of the tibia contour in each cross-sectional image is calculated in the reference coordinate system ( r) and height (z) information, and then calculating the implant entry point based on the shape of the tibia, the position of the nerve, and the aforementioned dynamic occlusal surface; the present invention provides two different embodiments in the manner of calculating the point of entry of the implant, one of which is based on the individual The dynamic occlusal surface seeks the extreme position of the occlusal surface in the tibia section, which determines the appropriate implant entry point, and the second determines the implant entry point through the tibia section inertia axis.
請參閱第三A、三B圖所示,根據個人化之動態咬合面找尋植體進入點時,根據缺牙為上牙與下牙情況不同而略有差異,一般人閉口時其上顎第一大臼齒近心頰側咬頭(cusp)會與下顎第一大臼齒近心頰側溝(buccal groove)對合,而下臼齒頰側咬頭會與上臼齒谷溝對合,根據此特性可在動態咬合曲面上找尋局部凹點形成谷溝連線,作為植體軸向起點,此點在咬合曲面的法向量作為植體植入方向,此方向與顎骨表面的交點即為植體進入點。第三A圖表示以上牙咬合曲面舌側局部沉降點作為一下顎植體軸向起點(11),第三B圖表示以下牙咬合曲面頰側局部高點作為一上顎植體軸向起點(12);請進一步參考第四A圖所示,以下顎植體為例,係顯示上牙咬合面(21)、植體(22)、安全植牙範圍(23)、顎骨壁(24)及植牙終點(25)的相對位置關係,利用咬合曲面找尋植體軸向起點,目的為使得咬合施力方向F與植體軸向盡量平行,即可得到較平均的應力分佈。相對地,如第四圖所示,植體(22)雖有與義齒(26)銜接,但植體軸向與施力F兩者者之夾角過大,容易於應力集中處產生骨萎縮現象,造成植體(22)搖晃甚至脫落。Please refer to the third and third B diagrams. When looking for the implant entry point according to the personalized dynamic occlusal surface, the difference between the upper and lower teeth according to the missing teeth is slightly different. The proximal cheek side bite (cusp) of the molar is in close contact with the buccal groove of the first large molar of the lower jaw, and the buccal bite of the lower molar is aligned with the upper molar groove. According to this characteristic, the dynamic occlusal surface can be engaged. Find the local pit to form the valley line as the axial starting point of the implant. The normal vector of the occlusal surface is used as the implantation direction of the implant. The intersection of this direction and the surface of the humerus is the entry point of the implant. The third A diagram shows the lingual local settlement point of the above occlusal surface as the axial starting point of the iliac implant (11), and the third B diagram shows the local high point of the buccal side of the following occlusal surface as the axial starting point of the upper iliac implant (12) Please refer to the fourth Figure A for the following examples. The following examples show the upper occlusal surface (21), the implant (22), the safe implant range (23), the humerus wall (24) and the implant. The relative positional relationship of the end point (25) of the tooth is used to find the axial starting point of the implant by using the occlusal surface. The purpose is to make the occlusal force direction F and the axial direction of the implant as parallel as possible, so that a relatively average stress distribution can be obtained. In contrast, as shown in the fourth figure, although the implant (22) is connected to the denture (26), the angle between the axial direction of the implant and the force F is too large, and it is easy to cause bone atrophy at the stress concentration point. Causes the implant (22) to shake or even fall off.
個人動態咬合面雖可提供良好的植體進入點建議,但遇到單側缺牙過多或是無法穩固地執行側咬與咀嚼運動的患者,或是因口腔內金屬物在電腦斷層掃描影像上造成假影致使標記物無法辨識,易造成模型套合誤差,故本發明亦可利用慣量軸來決定植體進入點,找尋角度分區截面轉動慣量最小的長軸,作為植體植入軸向。請參考第五圖所示,為利用慣量軸決定植體植入軸向之方法流程圖,係先取得顎骨輪廓上之資料點的座標資訊、將該些座標資訊利用一特徵方陣處理、解出其特徵值及決定特徵向量,其中,解出的特徵向量即為轉動慣量的軸,而顎骨輪廓對特徵向量之投影長度最大的即為最佳方位。Although the personal dynamic occlusal surface can provide a good indication of the entry point of the implant, but the patient who has too much unilateral missing teeth or can not perform the side bite and chewing exercise stably, or the metal object in the oral cavity on the computed tomography image The false shadow causes the marker to be unrecognizable, which is easy to cause the model to fit the error. Therefore, the present invention can also use the inertia axis to determine the implant entry point, and find the long axis with the smallest angular inertia of the angular partition section as the implant insertion axis. Please refer to the fifth figure, in order to determine the method of implanting the axial direction of the implant by using the inertia axis, first obtain the coordinate information of the data points on the tibia contour, and use the feature square matrix to process and solve the coordinate information. The eigenvalue and the eigenvector are determined, wherein the solved eigenvector is the axis of the moment of inertia, and the maximum length of the skeletal contour to the eigenvector is the best orientation.
具體而言,若模型是由複數個三角形的網格所構成,則p、q、r可代表每個三角網格的頂點座標點,μ為所有座標的總平均即為形心,為物體形心到p 點的向量,該些三角形網格的總數目為n:Specifically, if the model is composed of a grid of a plurality of triangles, p, q, r may represent vertex coordinates of each triangle mesh, and μ is the total average of all coordinates, ie, centroid. The vector that shapes the object to the point p , the total number of triangle meshes is n:
則在空間中之3×3特徵矩陣其九個元素可表示為:Then the three elements of the 3×3 feature matrix in space can be expressed as:
而本發明尋找慣量軸是在二維的角度分區截面上建立三角網格再套用上述公式,由於是二維平面,所以將上式特徵矩陣降為2階,也就是表示為:However, the present invention finds that the inertia axis is a triangle mesh formed on a two-dimensional angular section, and then applies the above formula. Since it is a two-dimensional plane, the feature matrix of the above formula is reduced to the second order, that is, expressed as:
上述2×2矩陣的特徵方程式之特徵向量(eigenvector),即為慣量軸向量,此向量令它通過μ點,即可構成直線方程式,即為慣量軸。The eigenvector of the characteristic equation of the above 2×2 matrix is the inertia axis vector, and this vector makes it pass the μ point to form a linear equation, which is the inertia axis.
決定植體終點(107),在決定植體終點時,由於植體不得進入危險區域(包覆神經血管、牙根、鼻中膈等重要組織一有限範圍),因植入方向已決定,故植體終點可由相對神經血管的安全距離來決定。若植體進入危險區域,例如植體植入過度接近或穿入神經血管,過度接近骨壁或是穿透側向骨壁,就得再重新決定植體終點,在植體進入點不變條件下更動軸向,以避開上下顎骨中的神經與血管並對其保持一安全距離,請參考第六A圖所示,在決定植體終點時,同樣利用影像模型來觀察顎骨(31)、神經(32)與牙齒(33)的相對位置,首先設定神經區域的安全距離,以下顎為例,於神經(32)上緣2mm或無在神經區域以顎骨(31)頂部向下10mm處高度,可初步定義出一安全終點線(34),並依參考座標系決定在高度z之骨壁中心點為安全植牙終點。經初步決定後,再如第六B圖所示,針對植牙深度不足的區域進行終點線區段性移除,最後如第六C圖所示,再移除有牙齒(33)區域的終點,同時判斷植體與牙根間之最小距離是否維持一安全距離3mm,剩餘終點線的線段即為可進行植牙區域之終點。Determining the end point of the implant (107), when determining the end point of the implant, because the implant is not allowed to enter the dangerous area (a limited range of important tissues such as nerve vessels, roots, and nasal hernia), the implantation direction has been determined, so The end point of the body can be determined by the safe distance from the opposite nerve vessels. If the implant enters a dangerous area, such as implants that are too close to or penetrate the nerve vessels, excessively close to the bone wall or penetrate the lateral bone wall, the implant end point must be re-determined, and the implant entry point is invariant. Lower the axial direction to avoid the nerves and blood vessels in the upper and lower tibia and maintain a safe distance. Please refer to Figure 6A. When determining the end point of the implant, the image model is also used to observe the tibia (31). The relative position of the nerve (32) and the tooth (33), first set the safe distance of the nerve area, for example, the height of the nerve (32) is 2 mm or the height of the nerve area is 10 mm below the top of the tibia (31). A safety end point (34) can be initially defined, and the center of the bone wall at the height z is determined as the safe end point of the implant according to the reference coordinate system. After the initial decision, as shown in Figure 6B, the end line is removed in a region with insufficient depth of implant, and finally the end of the tooth (33) is removed as shown in Figure 6C. At the same time, it is judged whether the minimum distance between the implant and the root maintains a safe distance of 3 mm, and the line segment of the remaining finish line is the end point of the implantable region.
建立植牙鑽孔導引板(108),在本實施例中,係以建立牙齒支撐型的導引板為範例說明,導引板的作用在轉移植體計劃至病患口內,精確導引植牙鑽孔與植體定位,在設計時需考慮植體位置、支撐型態、包覆範圍、器械運作高度等多項因素。請參考第七圖所示,在建立植牙鑽孔導引板的過程中,進一步包含設定導引板包覆區域(701)、建立導引板內壁網格(702)、建立導引板外壁網格(703)、接合內外壁網格、導引板模型輸出(704)等步驟。The dental implant drilling guide plate (108) is established. In this embodiment, the dental support type guiding plate is used as an example. The guiding plate acts on the transfer implant plan to the patient's mouth, and the precise guide The drilling of the implanted teeth and the positioning of the implants should be considered in the design of the implant position, support type, coverage range, and instrument operation height. Referring to the seventh figure, in the process of establishing the dental implant drilling guide plate, further comprising setting a guiding plate covering area (701), establishing a guiding plate inner wall mesh (702), and establishing a guiding plate. The outer wall mesh (703), the inner and outer wall meshes, the guide plate model output (704), and the like.
在詳細介紹導引板之建立流程前,請先參考附件一(a)~(c)所示,本發明考慮到顎骨槽外型近似弧形,故提出圓柱座標系建立角度分區資料結構以加速運算與處理時間。如附件一(a)所示建立一扇形輔助參考面及一參考軸(Z軸),當該參考面決定後,如附件一(b)所示,以“度”為單位進行分區,在此共分180區由包覆起始角θstart 至包覆結束角θend ,每一區可產生一截面影像,在截面影像中顯示神經輪廓、顎骨輪廓,其中,各分區內的各資料點係考慮其所在的深度(r)及高度(d),如附件一(c)所示,深度r為該資料點的相距該參考軸的距離,高度d為平行z軸向的高度。Before describing the process of establishing the guide plate in detail, please refer to Annexes (a) to (c). The present invention considers the approximate curved shape of the humeral groove. Therefore, it is proposed to establish an angular partition data structure to accelerate the cylindrical coordinate system. Calculation and processing time. A fan-shaped auxiliary reference plane and a reference axis (Z-axis) are established as shown in Annex 1 (a). When the reference plane is determined, as shown in Annex 1 (b), partitioning is performed in units of "degrees". A total of 180 regions are covered by a coating start angle θ start to a coating end angle θ end , and each region can generate a cross-sectional image, and the nerve contour and the tibia contour are displayed in the cross-sectional image, wherein each data point in each partition is displayed. Considering the depth (r) and height (d) where it is located, as shown in Annex I (c), the depth r is the distance from the reference point of the data point, and the height d is the height in the parallel z-axis.
設定導引板包覆範圍(701)步驟中,請參考附件二A、二B所示,根據分區中z值高度,可定義每個角度之截面影像中的最高與最低範圍,故180個分區共有180組極值點。高度展開圖中,藍色與綠色曲線將分別對應至齒顎的舌側或頰側網格模型上,獲得舌側(藍線)與頰側(綠線)定義的導引板包覆範圍。藉由設定舌側、頰側包覆曲線即決定導引板之包覆深度,該黃色範圍的網格作為導引板內壁之建立依據。In the step of setting the guide plate coverage range (701), please refer to the attachments A and B. According to the height of the z-value in the partition, the highest and lowest ranges in the cross-sectional image of each angle can be defined, so 180 partitions There are 180 sets of extreme points. In the height-expanded view, the blue and green curves will correspond to the lingual or buccal mesh models of the gums, respectively, to obtain the guide plate coverage defined by the lingual (blue line) and buccal (green line). The coating depth of the guiding plate is determined by setting the lingual and buccal coating curves, and the grid of the yellow range serves as the basis for establishing the inner wall of the guiding plate.
建立導引板內壁網格(702),當前述包覆範圍定義完成後,所擷取之網格資料並不能直接作為植牙鑽孔導引板的內壁,主因在於有牙區域可能因原有牙傾斜的現象而產生干涉,使植牙鑽孔導引板無法安裝至患者口腔內。The inner wall grid (702) of the guide plate is established. When the definition of the coating range is completed, the mesh data captured cannot be directly used as the inner wall of the dental drill guiding plate. The main reason is that the toothed area may be original. The phenomenon of tooth tilting causes interference, so that the implant drilling guide plate cannot be installed into the patient's mouth.
以第八A圖為例說明,其中曲線C1代表導引板之預定覆蓋區域,若根據此曲線C1作為導引板內壁將會發生導引板因開口狹窄而與牙齒產生干涉,無法正確置入。本發明為解決此一問題,故對導引板之設計進行自動調整。Taking the eighth A diagram as an example, the curve C1 represents a predetermined coverage area of the guide plate. If the curve C1 is used as the inner wall of the guide plate, the guide plate may interfere with the teeth due to the narrow opening, and cannot be correctly placed. In. In order to solve this problem, the present invention automatically adjusts the design of the guide plate.
請參考第八B圖所示,在依角度所劃分的各個分區內,根據深度r分別為N-1等份,以N=32為例產生P2 至P31 的內部點,並於各等份內找尋最高點,作為各資料點的z值,並定義起點P1 與末點P32 的深度值(r值)分別為P2 與P31 ,P1 至P32 高度值z的決定,則各自對應於舌側與頰側包覆曲線(附件二藍線與綠線)之高度定義,如此便可確保導引板的內壁開口具有足夠的寬度,以避免干涉現象的發生。Referring to FIG. 8B, in each partition divided by angle, according to the depth r, respectively, N-1 equal parts, and N=32 is taken as an example to generate internal points of P 2 to P 31 , and Find the highest point in the share, as the z value of each data point, and define the depth value (r value) of the starting point P 1 and the end point P 32 as P 2 and P 31 , and the height values z of P 1 to P 32 respectively. Each corresponds to the height definition of the lingual and buccal coating curves (blue lines and green lines in Annex II), thus ensuring that the inner wall opening of the guiding plate has a sufficient width to avoid interference.
在部分情況下,例如植單顆牙時常出現缺牙空間不足以置入導引套環,導引板必須懸空以增加套環放置空間,此時包覆曲線高度會被移至牙冠附近高度,如附件三A中框選的區域所示,使舌側與頰側的包覆範圍懸浮在顎骨上方,即以顎骨中心內插左右共15mm寬度為P1 至P32 深度值r,如附件三B所示,接著內插舌側頰側高度曲線資料點為P1至P32高度值z,即可產生懸空導引板的設計。In some cases, for example, when a single tooth is implanted, there is often insufficient space for the insertion of the guiding collar. The guiding plate must be suspended to increase the space for the collar. At this time, the height of the coating curve is moved to the height near the crown. As shown in the area selected in Annex III A, the coverage of the lingual and buccal sides is suspended above the humerus, that is, the width of the left and right sides of the humerus is 15 mm and the width is P 1 to P 32 . As shown in FIG. 3B, the design of the dangling guide plate can be generated by inserting the tongue side buccal height curve data point to the height value z of P1 to P32.
建立導引板外壁資料點(703),當導引板內壁資料點決定完成後,即再根據內壁資料點決定其外壁資料點。請參考第九圖所示,設定外壁資料點P’2 至P’31 深度等於內壁點P2 至P31 深度,取包覆範圍內高度z最大值加上預設的4mm作為P’2 至P’31 的高度值,最後沿著P1 至P32 的方向各自朝外擴張3mm,定義出P’1 與P’32 的位置並作為導引板之預設厚度。Establish the outer wall data point (703) of the guide plate. When the data point of the inner wall of the guide plate is determined, the outer wall data point is determined according to the inner wall data point. Please refer to the figure ninth, set the outer wall data points P' 2 to P' 31 depth equal to the inner wall points P 2 to P 31 depth, take the maximum height z in the coverage range plus the preset 4mm as P' 2 to P 'height value of 31, 3mm final expansion outwardly in the direction of each P 1 to P 32, the definition of the P' 1 position P 'and a predetermined thickness 32 of the guide plate.
導引板分區間常見問題為厚度不足,易使得製作成品過軟,導致使用時因軟化變形無法精準安置在正確的目標,造成導引失準,這類現象常出現於缺牙與有牙交界處。請參考第十A圖所示,圖中框選區域即為有牙與缺牙之間的高度落差區域(40),容易導致兩者銜接處厚度不足。故本發明進一步比對相鄰分區間資料點之高度值,當兩者間的高度落差超過一預設值時(如5mm),則抬高相對內壁高度較低的區域,將低點高度抬高至距高點一適當比例的高度位置,如第十B圖所示,較佳比例約為1/3高度處,線段A為透過內插後內壁資料點連線,以改善高度方向厚度不足的示意圖。The common problem between the guide plate partitions is that the thickness is insufficient, which makes the finished product too soft, which leads to the inability to accurately position the correct target due to softening deformation during use, resulting in misalignment of the guide. Such phenomena often occur in the intersection of missing teeth and teeth. At the office. Please refer to the figure 10A. The frame selection area in the figure is the height drop area (40) between the tooth and the missing tooth, which easily leads to insufficient thickness of the joint between the two. Therefore, the present invention further compares the height values of the data points between adjacent partitions. When the height difference between the two exceeds a preset value (for example, 5 mm), the height is lower relative to the inner wall height, and the height of the low point is raised. Raise the height position to an appropriate proportion from the high point. As shown in the tenth B, the preferred ratio is about 1/3 of the height. The line A is connected to the inner wall of the data point after the interpolation to improve the height direction. Schematic diagram of insufficient thickness.
針對導引板在深度方向亦有可能發生的厚度不足問題,如第十一A圖所示,圖中虛線框示的區域B即為導引板在深度方向發生過薄的現象,此問題亦可透過比較相鄰分區料點深度r來決定是否應須調整,當比較後發現存在有深度落差較大的域時,同樣對其進行內插,如第十一B圖所示,例如當落差大於3mm時將r值較低點提高至距高點一適當比例的深度位置,較佳比例約為1/4深度,確保導引板不會有過薄的現象發生。For the insufficient thickness of the guide plate in the depth direction, as shown in FIG. 11A, the area B indicated by the broken line in the figure is a phenomenon in which the guide plate is too thin in the depth direction. It can be determined whether the adjustment should be made by comparing the depth r of the adjacent zone. When it is found that there is a domain with a large depth difference, the interpolation is also performed, as shown in Fig. 11B, for example, when the difference is When it is larger than 3 mm, the lower point of the r value is raised to a depth position which is an appropriate ratio from the high point, and the preferred ratio is about 1/4 depth, so that the guide plate is not excessively thin.
模型輸出(704),根據前述規劃完成的植體方位及導引板之設計數據,可在導引板上決定鑽孔路徑及環座、鑽孔導引套環的所在位置,最後利用原型機輸出所設計之植牙鑽孔導引板。Model output (704), according to the design of the implant orientation and the guiding plate, the drilling path and the position of the ring seat and the drilling guide collar can be determined on the guiding plate, and finally the prototype is used. Output the designed dental drill guide plate.
於植牙時常見患者的第一、第二大臼齒區常因患者開口度不足,而使導引板無法使用的狀況。為避免患者開口度不足造成植牙困難,醫師於患者臨床診斷時應先測量植牙區域的開口度,如第十二圖所示,開口度(50)定義是指張口時由缺牙處牙齦至對側相對牙齒或牙齦高度,開口度(50)大小將限制臨床植牙器具工作空間與導引板設計。如第十三圖所示,臨床手術時運用的器具包含有手持電鑽(52)、鑽孔輔助器(53)、鑽頭(54)、導引板(55)與導引套環。患者之開口度須大於臨床器具口內高度與導引板懸空高度(57)加總之一臨床最大高度(60),否則須調降導引板懸空高度(57)。本發明可在取得患者之開口度數據後,由電腦判斷該數據是否可符合條件,若未符合即可自動給予建議In the case of implants, the first and second large molar areas of patients are often incapable of using the guide plate due to insufficient patient opening. In order to avoid difficulty in implanting the patient with insufficient opening degree, the physician should first measure the opening degree of the implanted area in the clinical diagnosis of the patient. As shown in the twelfth figure, the opening degree (50) is defined as the gingival dentition at the time of opening the mouth. To the opposite side of the tooth or gum height, the degree of opening (50) will limit the clinical implant device workspace and guide plate design. As shown in Fig. 13, the instruments used in clinical operations include a hand-held drill (52), a drill aid (53), a drill bit (54), a guide plate (55), and a guide collar. The patient's opening degree shall be greater than the height of the clinical device and the height of the guide plate (57) plus one of the clinical maximum heights (60), otherwise the height of the guide plate shall be lowered (57). The invention can determine whether the data can meet the condition after obtaining the opening degree data of the patient, and if the data is not met, the recommendation can be automatically given.
(11)...下顎植體軸向起點(11). . . Axial starting point of the lower plant
(12)...上顎植體軸向起點(12). . . Axial starting point of the upper plant
(21)...上牙咬合面(twenty one). . . Upper occlusal surface
(22)...植體(twenty two). . . Implant
(23)...安全植牙範圍(twenty three). . . Safe implant range
(24)...顎骨壁(twenty four). . . Tibia wall
(25)...植牙終點(25). . . End point of implant
(26)...義齒(26). . . Denture
(31)...顎骨(31). . . jawbone
(32)...神經(32). . . nerve
(33)...牙齒(33). . . tooth
(34)...安全終點線(34). . . Safety finish line
(40)...高度落差區域(40). . . Height drop area
(50)...開口度(50). . . Opening degree
(52)...電鑽(52). . . Electric drill
(53)...鑽孔輔助器(53). . . Drilling aid
(54)...鑽頭(54). . . drill
(55)...導引板(55). . . Guide plate
(57)...導引板懸空高度(57). . . Guide plate suspended height
(60)...臨床最大高度(60). . . Clinical maximum height
第一圖:本發明之方法流程圖。First Figure: Flow chart of the method of the present invention.
第二圖:本發明之咬合曲面建立示意圖。Second figure: Schematic diagram of the creation of the occlusal surface of the present invention.
第三A、三B圖:本發明利用動態咬合面找尋植體進入點示意圖。The third A and B diagrams: The present invention utilizes a dynamic occlusal surface to find a schematic view of the implant entry point.
第四A圖:本發明利用動態咬合面決定植體方位與咬合施力關係之示意圖。Figure 4A: The present invention utilizes a dynamic occlusal surface to determine the relationship between the orientation of the implant and the occlusal force.
第四B圖:不當植體方位與咬合施力關係之示意圖。Figure 4B: Schematic diagram of the relationship between improper implant orientation and occlusal force.
第五圖:本發明利用慣量軸決定植體植入軸向之步驟流程圖。Fig. 5 is a flow chart showing the steps of the invention for determining the implantation axis of the implant using the inertia axis.
第六A~六C圖:本發明植體終點找尋示意圖。Sixth A to Six C: The schematic diagram of the end point of the implant of the present invention.
第七圖:本發明建立植牙鑽孔導引板之步驟流程圖。Seventh: The flow chart of the steps of the invention for establishing a dental drilling guide plate.
第八A、八B圖:本發明決定植牙鑽孔導引板內壁資料點之示意圖。Figures 8A and 8B: The present invention determines a schematic view of the data points on the inner wall of the dental drill guide plate.
第九圖:本發明決定植牙鑽孔導引板外壁資料點分佈示意圖。Ninth figure: The present invention determines the distribution of data points on the outer wall of the dental drill guide plate.
第十A圖:植牙鑽孔導引板於高度方向厚度不足示意圖。Figure 10A: Schematic diagram of the insufficient thickness of the dental implant guide plate in the height direction.
第十B圖:植牙鑽孔導引板改善高度方向厚度不足示意圖。Figure XB: Schematic diagram of the reduction of the thickness in the height direction of the dental drill guide plate.
第十一A圖:植牙鑽孔導引板於深度方向厚度不足示意圖。Figure 11A: Schematic diagram of insufficient thickness of the dental implant guide plate in the depth direction.
第十一B圖:植牙鑽孔導引板改善深度方向厚度不足示意圖。Figure 11B: Schematic diagram of the reduction of the thickness in the depth direction of the dental implant guide plate.
第十二圖:開口度定義之示意圖。Figure 12: Schematic diagram of the definition of opening degree.
第十三圖:臨床最大高度定義之示意圖。Figure 13: Schematic diagram of the definition of the maximum clinical height.
附件一:係本發明如何定義基準面與參考軸之示意圖。Annex I: A schematic diagram of how the present invention defines a reference plane and a reference axis.
附件二A:導引板包覆範圍定義之二維展開圖。Annex II A: Two-dimensional development of the definition of the guide plate cladding range.
附件二B:導引板包覆範圍定義之截面圖。Annex II B: Sectional view of the definition of the guide plate cladding range.
附件三A:導引板懸空設計之二維展開圖。Annex III A: Two-dimensional development of the guide plate suspension design.
附件三B:導引板懸空設計之截面圖。Annex III B: Sectional view of the guide plate suspended design.
Claims (6)
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| TWI627941B (en) * | 2014-03-28 | 2018-07-01 | 蔡鎮國 | Method of making dental surgical guides |
| TWI766446B (en) * | 2019-12-23 | 2022-06-01 | 南韓商美佳境植牙股份有限公司 | Apparatus for automatically converting color of computerized tomography images on oral cavity based on artificial intelligence and driving method thereof |
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| TWI548403B (en) * | 2013-03-07 | 2016-09-11 | 國立成功大學 | Implant implant path planning method and system |
| CN105012032B (en) * | 2015-07-02 | 2017-10-31 | 江阴金泰克生物技术有限公司 | The preparation method that a kind of portable dentistry plants guide plate |
| CN106175947A (en) * | 2016-08-04 | 2016-12-07 | 江阴金泰克生物技术有限公司 | A kind of manufacture method for complete denture plantation guide plate |
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| EP1547544A1 (en) * | 2002-08-26 | 2005-06-29 | Osaka Industrial Promotion Organization | Artificial tooth root implantation position determining instrument, artificial tooth root implantation position determining method, guide member manufacturing device, sensor, drill, artificial tooth manufacturing device, computer program, and recorded medium |
| US20090042167A1 (en) * | 2004-09-14 | 2009-02-12 | Oratio B.V. | Method of Manufacturing and Installing a Ceramic Dental Implant with an Aesthetic Implant Abutment |
| TW201000078A (en) * | 2008-06-26 | 2010-01-01 | Pou Yu Biotechnology Co Ltd | Manufacturing method for the guiding board of dental implant surgical operation |
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| EP1547544A1 (en) * | 2002-08-26 | 2005-06-29 | Osaka Industrial Promotion Organization | Artificial tooth root implantation position determining instrument, artificial tooth root implantation position determining method, guide member manufacturing device, sensor, drill, artificial tooth manufacturing device, computer program, and recorded medium |
| US20090042167A1 (en) * | 2004-09-14 | 2009-02-12 | Oratio B.V. | Method of Manufacturing and Installing a Ceramic Dental Implant with an Aesthetic Implant Abutment |
| TW201000078A (en) * | 2008-06-26 | 2010-01-01 | Pou Yu Biotechnology Co Ltd | Manufacturing method for the guiding board of dental implant surgical operation |
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| TWI627941B (en) * | 2014-03-28 | 2018-07-01 | 蔡鎮國 | Method of making dental surgical guides |
| TWI766446B (en) * | 2019-12-23 | 2022-06-01 | 南韓商美佳境植牙股份有限公司 | Apparatus for automatically converting color of computerized tomography images on oral cavity based on artificial intelligence and driving method thereof |
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