CN111311653B - Method for registering dental plaque fluorescent image and tooth three-dimensional model - Google Patents
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Abstract
Description
技术领域Technical Field
本发明涉及计算机辅助龋病智能预防技术领域,尤其涉及一种牙齿菌斑荧光图像与牙齿三维模型配准的方法。The present invention relates to the technical field of computer-aided intelligent dental caries prevention, and in particular to a method for registering a dental plaque fluorescence image with a three-dimensional tooth model.
背景技术Background Art
龋病是一种慢性进行性破坏的牙体硬组织疾病,在世界范围内高发,世界卫生组织已将其与癌症、心血管疾病并列为人类三大重点防治的非传染性疾病,若延误治疗其不仅会引起局部疼痛、感染、牙齿缺失,还与心血管、糖尿病等系统性疾病密切相关。以龋病风险评估(Caries Risk Assessment,CRA)为导向的龋病预防被认为是现代龋病预防与管理的基础,此类系统能预测个体在一定时间内发生新龋的可能性。当前的CRA系统所包含的龋病相关因素在较大程度上重叠,如患龋经历、唾液、饮食、全身情况和氟暴露等,对牙齿本身形态对于龋病发生风险的影响考虑不足。Caries is a chronic and progressive disease that destroys dental hard tissues. It is prevalent worldwide. The World Health Organization has listed it as one of the three major non-communicable diseases that humans should focus on preventing and treating, along with cancer and cardiovascular disease. If treatment is delayed, it will not only cause local pain, infection, and tooth loss, but is also closely related to systemic diseases such as cardiovascular and diabetes. Caries prevention guided by caries risk assessment (CRA) is considered the basis of modern caries prevention and management. Such a system can predict the possibility of new caries in an individual within a certain period of time. The caries-related factors included in the current CRA system overlap to a large extent, such as caries experience, saliva, diet, systemic condition, and fluoride exposure, and the impact of tooth morphology on the risk of caries is insufficiently considered.
目前临床普遍使用视诊、探针、X射线等方法诊断龋病。视诊主要利用口腔医生的视力观察和经验判断,主观性强,无法诊断早期龋损;牙科探诊通过探针尖端划过牙釉质表面,判断是否能够钩住尖端,判断是否形成龋洞,亦无法早期诊断龋损。为了将龋病从“破坏性治疗”向“早期性预防”转变,无损可量化的光学检测方法成为龋病早期诊断的研究热点。基于牙齿组织的物质构成和结构特征以及光与组织相互作用机理的不同,目前已发展的光学龋齿早期检测方法包括荧光技术、光学相干层析技术(Optical Coherence Tomography,OCT)、拉曼光谱分析等。荧光技术利用口腔致龋细菌与食物残渣混合形成的牙菌斑在紫外光激发下产生的自体荧光光谱的差异,通过采集和分析光谱分布可量化牙菌斑含量,作为龋病风险的表征参数。利用定量光导荧光QLF技术对比分析了龋齿和健康牙齿的荧光图像分布,并与偏振显微镜检测结果相对比,证实了荧光方法的有效性。At present, visual examination, probe, X-ray and other methods are commonly used in clinical diagnosis of caries. Visual examination mainly relies on the visual observation and experience judgment of dentists, which is highly subjective and cannot diagnose early caries. Dental probing is to judge whether the tip of the probe can be hooked on the surface of the tooth enamel and whether a caries cavity is formed by scratching the tip of the probe across the tooth enamel surface, and it is also impossible to diagnose caries in the early stage. In order to transform caries from "destructive treatment" to "early prevention", non-destructive and quantifiable optical detection methods have become a research hotspot for early diagnosis of caries. Based on the material composition and structural characteristics of tooth tissue and the different mechanisms of interaction between light and tissue, the currently developed optical caries early detection methods include fluorescence technology, optical coherence tomography (OCT), Raman spectroscopy analysis, etc. Fluorescence technology uses the difference in the autofluorescence spectrum of dental plaque formed by the mixture of oral caries bacteria and food residues under ultraviolet light excitation. By collecting and analyzing the spectral distribution, the content of dental plaque can be quantified as a characterization parameter of caries risk. The fluorescence image distribution of carious and healthy teeth was analyzed by quantitative light-guided fluorescence (QLF) technology, and compared with the results of polarization microscopy, confirming the effectiveness of the fluorescence method.
现阶段,针对龋病的研究偏传统化,正是这一系列问题促进了光学技术、3D数字化技术和人工智能技术在该领域的探索和应用,许多智能医疗信息处理技术应运而生。然而无论在治疗或者预防领域,牙齿作为龋病的宿主,对于其形态结构却研究较少,研究牙齿表面形态与龋病之间的关系具有重要意义,而该研究首先需要实现建立与龋病直接相关的菌斑分布与牙齿三维形态之间的联系。因此,本发明提出了一种牙齿菌斑荧光图像与牙齿三维模型配准的方法及系统。At present, the research on caries is relatively traditional. It is this series of problems that have promoted the exploration and application of optical technology, 3D digitization technology and artificial intelligence technology in this field, and many intelligent medical information processing technologies have emerged. However, whether in the field of treatment or prevention, teeth are the host of caries, but there is little research on their morphological structure. It is of great significance to study the relationship between tooth surface morphology and caries. This research first needs to establish the connection between the plaque distribution directly related to caries and the three-dimensional morphology of teeth. Therefore, the present invention proposes a method and system for aligning dental plaque fluorescence images with tooth three-dimensional models.
发明内容Summary of the invention
本发明的目的是针对现有技术的缺陷,提供了一种牙齿菌斑荧光图像与牙齿三维模型配准的方法,通过迭代求解映射模型,实现2D荧光图像的咬合面轮廓与3D投影轮廓的配准,获得牙菌斑2D荧光图像与牙齿咬合表面3D数据之间的对应关系,确定牙菌斑在牙齿表面的三维空间分布,为研究牙齿表面菌斑的三维分布提供基础。The purpose of the present invention is to address the defects of the prior art and provide a method for aligning a dental plaque fluorescence image with a tooth three-dimensional model. By iteratively solving a mapping model, the occlusal surface contour of a 2D fluorescence image and a 3D projection contour are aligned, the correspondence between the 2D fluorescent image of dental plaque and the 3D data of the tooth occlusal surface is obtained, the three-dimensional spatial distribution of dental plaque on the tooth surface is determined, and a basis is provided for studying the three-dimensional distribution of dental plaque on the tooth surface.
为了实现以上目的,本发明采用以下技术方案:In order to achieve the above objectives, the present invention adopts the following technical solutions:
一种牙齿菌斑荧光图像与牙齿三维模型配准的方法,包括:A method for registering a dental plaque fluorescence image with a dental three-dimensional model, comprising:
S1.获取牙齿表面的三维模型点云数据Ps以及牙齿咬合面的荧光图像FImg;S1. Obtaining the three-dimensional model point cloud data P s of the tooth surface and the fluorescent image F Img of the tooth occlusal surface;
S2.对所述牙齿咬合面的荧光图像FImg进行处理,得到牙齿区域及轮廓信息Edge1;S2. Processing the fluorescence image F Img of the tooth occlusal surface to obtain tooth area and contour information Edge 1 ;
S3.对所述牙齿表面的三维模型点云数据Ps进行姿态矫正,得到校正后的牙齿三维模型Ps;S3. Performing posture correction on the three-dimensional model point cloud data P s of the tooth surface to obtain a corrected three-dimensional tooth model P s ;
S4.建立校正后的牙齿三维模型Ps与牙齿咬合面的荧光图像FImg的映射模型,将矫正后的三维牙齿模型Ps上的点映射到荧光图像FImg上。S4. Establish a mapping model between the corrected three-dimensional tooth model Ps and the fluorescent image F Img of the tooth occlusal surface, and map the points on the corrected three-dimensional tooth model Ps to the fluorescent image F Img .
进一步的,所述步骤S1具体包括:Furthermore, the step S1 specifically includes:
S11.通过口腔三维扫描仪获取牙列三维数据,得到牙齿表面的三维模型Ps;S11. Acquire 3D data of the dentition through an oral 3D scanner to obtain a 3D model P s of the tooth surface;
S12.通过口腔荧光成像仪获取牙齿的咬合面的菌斑荧光图像FImg。S12. Obtain a fluorescent image F Img of the plaque on the occlusal surface of the tooth using an oral fluorescent imager.
进一步的,所述步骤S2具体包括:Furthermore, the step S2 specifically includes:
S21.将牙齿三维模型Ps对应的荧光数据输入所述荧光图像FImg中,并对所述牙齿咬合面的荧光图像FImg进行处理;S21. Inputting the fluorescence data corresponding to the tooth three-dimensional model Ps into the fluorescence image F Img , and processing the fluorescence image F Img of the tooth occlusal surface;
S22.采用自动阈值分割方法将牙齿区域与其他区域分割开,得到牙齿区域及轮廓信息Edge1。S22. Use an automatic threshold segmentation method to separate the tooth region from other regions to obtain the tooth region and contour information Edge 1 .
进一步的,所述步骤S21中对牙齿咬合面的荧光图像FImg进行处理的处理方法为均值滤波。Furthermore, the method for processing the fluorescence image F Img of the tooth occlusal surface in step S21 is mean filtering.
进一步的,所述步骤S22中采用的自动阈值分割方法为OTSU的全局自动阈值分割方法。Furthermore, the automatic threshold segmentation method adopted in step S22 is OTSU's global automatic threshold segmentation method.
进一步的,所述步骤S3具体为通过三维模型空间变换公式对牙齿三维模型点云数据Ps进行姿态矫正。Furthermore, the step S3 specifically performs posture correction on the tooth three-dimensional model point cloud data Ps through a three-dimensional model space transformation formula.
进一步的,所示步骤S3中对三维模型点云数据Ps进行姿态矫正是通过PCA主成分分析的方法进行矫正的。Furthermore, in step S3, the posture correction of the three-dimensional model point cloud data Ps is performed by using a PCA principal component analysis method.
进一步的,所述步骤S4具体包括:Furthermore, the step S4 specifically includes:
S41.对获取牙齿咬合面荧光图像的口腔荧光成像仪进行标定,得到口腔荧光成像仪的内参矩阵M1;S41. Calibrate the oral fluorescence imager for acquiring the fluorescence image of the tooth occlusal surface to obtain the internal parameter matrix M 1 of the oral fluorescence imager;
S42.输入校正后的牙齿三维模型Ps、牙齿的荧光图像FImg的轮廓信息Edge1、内参矩阵M1,并初始化外参矩阵M2,设定匹配距离阈值Ths;S42. Input the corrected tooth three-dimensional model P s , the contour information Edge 1 of the tooth fluorescence image F Img , the internal parameter matrix M 1 , initialize the external parameter matrix M 2 , and set the matching distance threshold Ths ;
S43.利用所述外参矩阵M2及内参矩阵M1计算牙齿三维模型在虚拟成像系统下的成像图像TPDimg;S43. Calculate the imaging image TPD img of the three-dimensional tooth model in the virtual imaging system using the external parameter matrix M 2 and the internal parameter matrix M 1 ;
S44.对所述虚拟成像系统下的成像图像TPDimg进行预处理,并计算虚拟成像系统下的成像图像TPDimg的牙齿边缘信息,得到牙齿三维模型的投影边缘Edge2;S44. Preprocessing the image TPD img imaged by the virtual imaging system, and calculating the tooth edge information of the image TPD img imaged by the virtual imaging system, to obtain the projection edge Edge 2 of the tooth three-dimensional model;
S45.计算得到的牙齿三维模型的投影边缘Edge2中每个二维坐标点到牙齿荧光图像的轮廓信息Edge1中每个二维坐标点中欧氏距离最近的点,保存对应关系及距离信息;S45. The point with the closest Euclidean distance from each two-dimensional coordinate point in the projection edge Edge 2 of the calculated three-dimensional tooth model to each two-dimensional coordinate point in the contour information Edge 1 of the tooth fluorescence image is saved; the corresponding relationship and distance information are saved;
S46.获取牙齿三维模型的投影边缘Edge2二维点坐标及对应的三维模型Ps上的对应点,并计算所有对应点距离的平均值Tavg;判断所述平均值Tavg是否小于设定的匹配距离阈值Ths,若是,则输出当前三维投影矩阵M2作为荧光图像与三维模型数据之间的配准矩阵;若否,则利用三维投影矩阵方程,更新外参矩阵M2,并继续执行步骤S43;S46. Obtain the two-dimensional point coordinates of the projection edge Edge 2 of the three-dimensional model of the tooth and the corresponding points on the corresponding three-dimensional model Ps , and calculate the average value T avg of the distances of all corresponding points; determine whether the average value T avg is less than the set matching distance threshold T hs , if so, output the current three-dimensional projection matrix M 2 as the registration matrix between the fluorescent image and the three-dimensional model data; if not, use the three-dimensional projection matrix equation to update the external parameter matrix M 2 , and continue to execute step S43;
S47.根据最终得到的外参矩阵M2和内参矩阵M1利用三维投影矩阵,将三维牙齿模型Ps上的点投影到荧光图像上。S47. Project the points on the three-dimensional tooth model Ps onto the fluorescent image using the three-dimensional projection matrix according to the final external parameter matrix M2 and the internal parameter matrix M1 .
进一步的,所述步骤S44中还包括获取牙齿三维模型中的轮廓,并对荧光图像取边缘进行操作,得到投影图像轮廓点和轮廓点对应的三维空间点,保存所有数据。Furthermore, the step S44 also includes obtaining the contour in the three-dimensional model of the tooth, and performing edge operations on the fluorescent image to obtain the contour points of the projection image and the three-dimensional space points corresponding to the contour points, and saving all the data.
进一步的,所述步骤S46中通过得到的对应点信息及成像模型,采用最小二乘法更新外参矩阵M2。Furthermore, in step S46, the extrinsic parameter matrix M 2 is updated by using the least square method based on the obtained corresponding point information and the imaging model.
与现有技术相比,本发明的有益效果是:Compared with the prior art, the present invention has the following beneficial effects:
1.本发明的处理对象为高精度牙齿三维点云数据,其处理速度快,精度高,便于实现,易于推广。1. The processing object of the present invention is high-precision three-dimensional tooth point cloud data, which has fast processing speed, high precision, easy implementation and easy promotion.
2.本发明提出了一种牙齿菌斑荧光图像与牙齿三维模型配准的方法,对于研究牙齿三维形态与龋病之间的联系奠定了基础。2. The present invention proposes a method for aligning dental plaque fluorescence images with tooth three-dimensional models, which lays a foundation for studying the relationship between tooth three-dimensional morphology and caries.
3.本发明针对牙齿菌斑荧光图像与牙齿三维模型映射的方法,根据先验知识,采用了一种简单的初始化投影矩阵的方式,减少大量计算量,同时使算法更加简单高效。3. The method for mapping dental plaque fluorescence images to tooth three-dimensional models of the present invention adopts a simple method of initializing the projection matrix based on prior knowledge, thereby reducing a large amount of calculation and making the algorithm simpler and more efficient.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是实施例一提供的一种牙齿菌斑荧光图像与牙齿三维模型配准的方法流程图;FIG1 is a flow chart of a method for aligning a dental plaque fluorescence image with a dental three-dimensional model provided in Example 1;
图2是实施例一提供的读入的优选牙齿点云数据示意图;FIG2 is a schematic diagram of the preferred tooth point cloud data read in according to the first embodiment;
图3是实施例一提供的读入的优选牙齿荧光图像数据示意图;FIG3 is a schematic diagram of preferred tooth fluorescence image data read in according to the first embodiment;
图4是实施例一提供的牙齿荧光图像均值滤波之后结果示意图;FIG4 is a schematic diagram of the result after mean filtering of a tooth fluorescence image provided in Example 1;
图5是实施例一提供的牙齿荧光图像自动阈值分割结果示意图;FIG5 is a schematic diagram of the automatic threshold segmentation result of the tooth fluorescence image provided in Example 1;
图6是实施例一提供的牙齿荧光图像轮廓提取结果示意图;FIG6 is a schematic diagram of tooth fluorescence image contour extraction results provided in Example 1;
图7是实施例一提供的牙齿点云数据经过矫正之后数据示意图;FIG. 7 is a schematic diagram of the tooth point cloud data after correction provided in Example 1;
图8是实施例一提供的相机标定结果图示意图;FIG8 is a schematic diagram of a camera calibration result diagram provided in Example 1;
图9是实施例一提供的牙齿点云数据投影结果示意图;FIG9 is a schematic diagram of a projection result of tooth point cloud data provided in Example 1;
图10是实施例一提供的牙齿点云数据投影填补空白之后结果示意图;FIG10 is a schematic diagram of the result after the tooth point cloud data provided in Example 1 is projected and filled with blanks;
图11是实施例一提供的点云投影轮廓获取结果图示意图;FIG11 is a schematic diagram of a point cloud projection contour acquisition result diagram provided in Example 1;
图12是实施例一提供的迭代M2过程中其轮廓匹配结果示意图;FIG12 is a schematic diagram of the contour matching result in the iterative M2 process provided in Example 1;
图13是实施例一提供的计算M2过程中轮廓平均距离结果示意图;FIG13 is a schematic diagram of the result of the average distance of contours in the process of calculating M2 provided in Example 1;
图14是实施例一提供的最终将牙齿菌斑荧光图像映射到三维模型上结果示意图。FIG. 14 is a schematic diagram of the final result of mapping the dental plaque fluorescence image onto the three-dimensional model provided in the first embodiment.
具体实施方式DETAILED DESCRIPTION
以下通过特定的具体实例说明本发明的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本发明的其他优点与功效。本发明还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本发明的精神下进行各种修饰或改变。需说明的是,在不冲突的情况下,以下实施例及实施例中的特征可以相互组合。The following describes the embodiments of the present invention by specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the contents disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and the details in this specification can also be modified or changed in various ways based on different viewpoints and applications without departing from the spirit of the present invention. It should be noted that the following embodiments and features in the embodiments can be combined with each other without conflict.
本发明的目的是针对现有技术的缺陷,提供了一种牙齿菌斑荧光图像与牙齿三维模型配准的方法。The purpose of the present invention is to address the defects of the prior art and provide a method for registering a dental plaque fluorescence image with a three-dimensional tooth model.
实施例一Embodiment 1
本实施例提供一种牙齿菌斑荧光图像与牙齿三维模型配准的方法,如图1所示,包括:This embodiment provides a method for registering a dental plaque fluorescence image with a dental three-dimensional model, as shown in FIG1 , comprising:
S11.获取牙齿表面的三维模型点云数据Ps以及牙齿咬合面的荧光图像FImg;S11. Acquire the three-dimensional model point cloud data P s of the tooth surface and the fluorescent image F Img of the tooth occlusal surface;
S12.对所述牙齿咬合面的荧光图像FImg进行处理,得到牙齿区域及轮廓信息Edge1;S12. Processing the fluorescence image F Img of the tooth occlusal surface to obtain tooth region and contour information Edge 1 ;
S13.对所述牙齿表面的三维模型点云数据Ps进行姿态矫正,得到校正后的牙齿三维模型Ps;S13. Performing posture correction on the three-dimensional model point cloud data P s of the tooth surface to obtain a corrected three-dimensional tooth model P s ;
S14.建立校正后的牙齿三维模型Ps与牙齿咬合面的荧光图像FImg的映射模型,将矫正后的三维牙齿模型Ps上的点映射到荧光图像FImg上。S14. Establish a mapping model between the corrected three-dimensional tooth model Ps and the fluorescent image F Img of the tooth occlusal surface, and map the points on the corrected three-dimensional tooth model Ps to the fluorescent image F Img .
在步骤S11中,获取牙齿表面的三维模型点云数据Ps以及牙齿咬合面的荧光图像FImg。In step S11, the three-dimensional model point cloud data Ps of the tooth surface and the fluorescence image F Img of the tooth occlusal surface are acquired.
在本实施例中,首先利用口内三维扫描仪获取牙齿表面三维模型点云数据Ps,然后利用菌斑荧光成像仪获取牙齿咬合面的荧光图像FImg。具体为:In this embodiment, firstly, an intraoral three-dimensional scanner is used to obtain the point cloud data Ps of the three-dimensional model of the tooth surface, and then a plaque fluorescence imager is used to obtain the fluorescence image F Img of the tooth occlusal surface. Specifically:
S111.通过口腔三维扫描仪获取牙列三维数据,然后裁剪出单颗磨牙,得到牙齿表面的三维模型Ps,如图2所示;S111. Acquire 3D data of the dentition through an oral 3D scanner, then cut out a single molar to obtain a 3D model P s of the tooth surface, as shown in FIG2 ;
S112.通过口腔荧光成像仪获取牙齿的咬合面的菌斑荧光图像FImg,如图3所示。S112. Obtain a fluorescent image F Img of the plaque on the occlusal surface of the tooth using an oral fluorescent imager, as shown in FIG3 .
在步骤S12中,对所述牙齿咬合面的荧光图像FImg进行处理,得到牙齿区域及轮廓信息Edge1。In step S12, the fluorescence image F Img of the tooth occlusal surface is processed to obtain tooth region and contour information Edge 1 .
在本实施例中,牙齿荧光图像FImg进行处理:对牙齿荧光图像FImg进行处理,获取牙齿区域及轮廓信息。具体为:In this embodiment, the tooth fluorescence image F Img is processed: the tooth fluorescence image F Img is processed to obtain tooth area and contour information. Specifically:
S121.将牙齿三维模型Ps对应的荧光数据输入所述荧光图像FImg中,并对所述牙齿咬合面的荧光图像FImg进行处理;S121. Input the fluorescence data corresponding to the tooth three-dimensional model Ps into the fluorescence image F Img , and process the fluorescence image F Img of the tooth occlusal surface;
对菌斑荧光图像采用预处理方法为均值滤波,由于牙齿菌斑荧光图像是在口腔内暗环境采集的,因此其存在很多的噪声,采用均值滤波可以有效地滤除该噪声,提高从整幅图像中提取出牙齿区域的准确性,均值滤波结果如图4所示。The preprocessing method used for the plaque fluorescence image is mean filtering. Since the dental plaque fluorescence image is collected in a dark environment in the oral cavity, it contains a lot of noise. The mean filtering can effectively filter out the noise and improve the accuracy of extracting the tooth area from the entire image. The mean filtering result is shown in Figure 4.
S122.采用自动阈值分割方法将牙齿区域与其他区域分割开,得到牙齿区域及轮廓信息Edge1。S122. Use an automatic threshold segmentation method to separate the tooth region from other regions to obtain the tooth region and contour information Edge 1 .
采用的自动阈值分割方法,图像的灰度阈值分割是一种常用的图像分割方法,其实现原理简单,计算量小,性能稳定,因此被广泛应用于图像分割领域。假设图像f(x,y)由暗色背景和较亮的目标物体组成,两者之间的灰度值有明显差异,因此,可以选择一个阈值T,有如下公式将目标物体从图像中与背景分离,新生成的图像为g(x,y)The automatic threshold segmentation method used is a commonly used image segmentation method. It has a simple implementation principle, small amount of calculation, and stable performance. Therefore, it is widely used in the field of image segmentation. Assume that the image f(x, y) consists of a dark background and a brighter target object. There is a significant difference in the grayscale value between the two. Therefore, a threshold T can be selected. The following formula is used to separate the target object from the background in the image. The newly generated image is g(x, y)
经过阈值化操作后,图像的背景部分置为黑色,目标部分其颜色保持自身颜色。在图像阈值化操作过程中,灰度阈值T的选取十分重要,合适的T值将有效的去除无关信息,在牙齿荧光图像中,由于采集环境的复杂性,其多幅荧光图像的亮度具有很大的差异,因此需要采用一种能根据图像自身的信息确定阈值T的算法,实现牙齿区域的准确提取,本实施例采用的是基于OTSU的全局自动阈值分割方法。After the thresholding operation, the background part of the image is set to black, and the color of the target part remains its own color. In the process of image thresholding operation, the selection of gray threshold T is very important. The appropriate T value will effectively remove irrelevant information. In tooth fluorescence images, due to the complexity of the acquisition environment, the brightness of multiple fluorescence images is very different. Therefore, it is necessary to adopt an algorithm that can determine the threshold T according to the information of the image itself to achieve accurate extraction of the tooth area. This embodiment adopts a global automatic threshold segmentation method based on OTSU.
其原理是根据图像的灰度特征,将图像分为背景和前景两部分,背景和前景两类之间的方法越大,说明构成图像的两部分之间差距越大,算法具体描述如下;The principle is to divide the image into two parts, background and foreground, according to the grayscale characteristics of the image. The greater the difference between the background and foreground, the greater the gap between the two parts that constitute the image. The specific description of the algorithm is as follows;
设一幅图像的总像素个数为N,像素灰度级范围为[0~L-1],灰度值为i的像素数为ni,则灰度值为i的像素的出现概率为: Assume that the total number of pixels in an image is N, the pixel grayscale range is [0~L-1], and the number of pixels with grayscale value i is n i , then the probability of occurrence of a pixel with grayscale value i is:
设定分割阈值为T0,将整幅图像的灰度值分为C0和C1两类,其中C0的灰度值分布在[C0~T0-1],C1对应灰度值在[T0~L-1]之间,则C0和C1的概率w0和w1分别为:Set the segmentation threshold to T 0 and divide the grayscale value of the entire image into two categories: C 0 and C 1. The grayscale value of C 0 is distributed between [C 0 ~T 0 -1], and the grayscale value corresponding to C 1 is between [T 0 ~L-1]. The probabilities w 0 and w 1 of C 0 and C 1 are respectively:
C1和C1的均值u0,u1为:The mean u 0 ,u 1 of C 1 and C 1 is:
整个图像的灰度均值为:The grayscale mean of the entire image is:
μ=ω0μ0+ω1μ1 μ=ω 0 μ 0 +ω 1 μ 1
定义两个灰度分区类间方差为:Define the inter-class variance of two grayscale partitions as:
σ2=ω0(μ0-μ)2+ω1(μ1-μ)2 σ 2 =ω 0 (μ 0 -μ) 2 +ω 1 (μ 1 -μ) 2
在确定分割阈值T0时,令T0从0开始,以步长1依次递增至L-1,记录每次T0对应的类间方差σ2,σ2最大的T0即为最佳的分割阈值。利用该方法对牙齿荧光图像进行自动分割,分割结果如图5所示。When determining the segmentation threshold T 0 , let T 0 start from 0 and increase to L-1 in steps of 1, record the inter-class variance σ 2 corresponding to each T 0 , and the T 0 with the largest σ 2 is the optimal segmentation threshold. This method is used to automatically segment the tooth fluorescence image, and the segmentation result is shown in Figure 5.
牙齿轮廓边缘点的提取方法为,对灭一个像素进行遍历,判断与其相邻的八个像素其中是否同时含有牙齿区域点和非牙齿区域点,如果含有则为轮廓边界点,如果没有则不是轮廓边界点。得到荧光图像对应的牙齿边缘Edge1,其中Edge1内包含的数据结构为{{Ix1,Iy1},{Ix2,Iy2},...,{Ixi,Iyi}},其中{Ixi,Iyi}为荧光图像第i个边缘点对应的图像坐标。提取到的轮廓结构如图6所示。The method for extracting the edge points of the tooth contour is to traverse a pixel and determine whether the eight adjacent pixels contain both tooth region points and non-tooth region points. If so, it is a contour boundary point. If not, it is not a contour boundary point. The tooth edge Edge 1 corresponding to the fluorescence image is obtained, where the data structure contained in Edge 1 is {{I x1 ,I y1 },{I x2 ,I y2 },...,{I xi ,I yi }}, where {I xi ,I yi } is the image coordinate corresponding to the i-th edge point of the fluorescence image. The extracted contour structure is shown in Figure 6.
在步骤S13中,对所述牙齿表面的三维模型点云数据Ps进行姿态矫正,得到校正后的牙齿三维模型Ps。In step S13, posture correction is performed on the three-dimensional model point cloud data Ps of the tooth surface to obtain a corrected three-dimensional tooth model Ps .
输入牙齿三维点云数据Ps,计算牙齿点云数据重心及其主方向,利用三维模型空间变换公式将牙齿三维点云数据进行姿态矫正,使其空间坐标系原点在牙齿点云数据模型重心位置,牙合面平行于空间坐标系的XOY平面,垂直于空间坐标系Z轴,得到矫正后的牙齿三维模型点集作为新的Ps;校正后的点云模型如图7所示。Input the tooth three-dimensional point cloud data Ps , calculate the center of gravity and main direction of the tooth point cloud data, and use the three-dimensional model space transformation formula to correct the posture of the tooth three-dimensional point cloud data so that the origin of the spatial coordinate system is at the center of gravity of the tooth point cloud data model, the occlusal surface is parallel to the XOY plane of the spatial coordinate system, and is perpendicular to the Z axis of the spatial coordinate system. The corrected tooth three-dimensional model point set is obtained as the new Ps ; the corrected point cloud model is shown in Figure 7.
牙齿模型Ps的姿态矫正采用PCA主成分分析的方法,计算点云的主方向,其主方向即为Z轴方向,使用三维空间坐标转换矩阵,使其主方向转换为Z轴方向。三维空间坐标转换公式为The posture correction of the tooth model Ps uses the PCA principal component analysis method to calculate the main direction of the point cloud, which is the Z-axis direction. The three-dimensional space coordinate conversion matrix is used to convert the main direction to the Z-axis direction. The three-dimensional space coordinate conversion formula is:
其中采用PCA的方法确定R、T矩阵。The PCA method is used to determine the R and T matrices.
在步骤S14中,建立校正后的牙齿三维模型Ps与牙齿咬合面的荧光图像FImg的映射模型,将矫正后的三维牙齿模型Ps上的点映射到荧光图像FImg上。In step S14, a mapping model between the corrected three-dimensional tooth model Ps and the fluorescence image F Img of the tooth occlusal surface is established, and points on the corrected three-dimensional tooth model Ps are mapped to the fluorescence image F Img .
在本实施例中,建立牙齿三维模型Ps与菌斑荧光图像FImg的映射模型,将三维牙齿模型Ps上的点映射到菌斑荧光图像FImg上。具体包括按照相机成像模型,计算牙齿三维模型的成像图像,利用其成像图像轮廓与荧光图像轮廓进行对比,更新投影矩阵,实现牙齿成像轮廓与荧光图像轮廓相同,实现将三维牙齿模型Ps上的点映射到荧光图像上。具体为:In this embodiment, a mapping model between the three-dimensional tooth model Ps and the plaque fluorescence image F Img is established, and the points on the three-dimensional tooth model Ps are mapped to the plaque fluorescence image F Img . Specifically, the imaging image of the three-dimensional tooth model is calculated according to the camera imaging model, and the contour of the imaging image is compared with the contour of the fluorescence image, and the projection matrix is updated to achieve the same contour of the tooth imaging and the contour of the fluorescence image, so as to realize the mapping of the points on the three-dimensional tooth model Ps to the fluorescence image. Specifically,
S141.对获取牙齿咬合面荧光图像的口腔荧光成像仪进行标定,得到口腔荧光成像仪的内参矩阵M1;S141. Calibrate the oral fluorescence imager for acquiring the fluorescence image of the tooth occlusal surface to obtain the internal parameter matrix M 1 of the oral fluorescence imager;
对口腔内荧光成像装置采用张正友标定方法进行标定,得到相机内参矩阵M1,相机标定采集到的标定板图像如图8所示。其相机内参矩阵M1为:The intraoral fluorescence imaging device is calibrated using Zhang Zhengyou's calibration method to obtain the camera intrinsic parameter matrix M 1 . The calibration plate image collected by the camera calibration is shown in Figure 8 . The camera intrinsic parameter matrix M 1 is:
采用张正友标定法,利用口腔荧光成像仪拍摄多幅棋盘标定板图片,标定该成像装置,获得其相机成像内参矩阵。The Zhang Zhengyou calibration method was used to take multiple chessboard calibration plate pictures with an oral fluorescence imager to calibrate the imaging device and obtain its camera imaging internal parameter matrix.
S142.输入校正后的牙齿三维模型Ps、牙齿的荧光图像FImg的轮廓信息Edge1、内参矩阵M1,并初始化外参矩阵M2,设定匹配距离阈值Ths;S142. Input the corrected tooth three-dimensional model P s , the contour information Edge 1 of the tooth fluorescence image F Img , the internal parameter matrix M 1 , initialize the external parameter matrix M 2 , and set the matching distance threshold Ths ;
输入校正后的牙齿三维模型Ps、对应牙齿的荧光图像FImg轮廓数据Edge1、相机内参矩阵M1;初始化外参矩阵M2,设定匹配距离阈值Ths。Input the corrected tooth three-dimensional model P s , the corresponding tooth fluorescence image F Img contour data Edge 1 , and the camera internal parameter matrix M 1 ; initialize the external parameter matrix M 2 , and set the matching distance threshold Ths .
初始化投影矩阵采用经验值,由于采集牙齿荧光图像时,其采集角度垂直牙齿咬合面且距离牙齿表面约1~2cm,因此可以初始化外参矩阵M2为The projection matrix is initialized using empirical values. When collecting dental fluorescence images, the acquisition angle is perpendicular to the tooth occlusal surface and is about 1 to 2 cm away from the tooth surface. Therefore, the external parameter matrix M2 can be initialized as
S143.利用所述外参矩阵M2及内参矩阵M1计算牙齿三维模型在虚拟成像系统下的成像图像TPDimg;S143. Calculate the imaging image TPD img of the three-dimensional tooth model in the virtual imaging system using the external parameter matrix M 2 and the internal parameter matrix M 1 ;
利用成像系统成像关系模型得到三维牙齿模型在荧光成像系统成像,其成像模型为The imaging relationship model of the imaging system is used to obtain the three-dimensional tooth model in the fluorescence imaging system. The imaging model is:
其中,ax=c/dx,为u轴上的尺度因子,也称为u轴上的等效(归一化)焦距;ay=c/dy,为v轴上的尺度因子,也称为v轴上的等效(归一化)焦距;M为3×4矩阵,称为投影矩阵,M1由摄像机参数ax,ay,u0,v0共同决定,称为内参矩阵,M2由摄像机相对于世界坐标系的外参决定,称为外参矩阵。Among them, ax = c/ dx , is the scale factor on the u-axis, also called the equivalent (normalized) focal length on the u-axis; ay = c/ dy , is the scale factor on the v-axis, also called the equivalent (normalized) focal length on the v-axis; M is a 3×4 matrix, called the projection matrix, M1 is determined by the camera parameters ax , ay , u0 , v0 , called the intrinsic parameter matrix, and M2 is determined by the external parameters of the camera relative to the world coordinate system, called the extrinsic parameter matrix.
根据相机透视成像矩阵,可以得到牙齿点云数据在M1和M2情况下的投影矩阵,这里因为只使用轮廓作为特征值,因此可以不用计算每个点与视点相机坐标之间的距离值生成灰度图像从而减少大量的计算加快算法的速度,因此这里采用另一个简单的方法即获取点云投影的黑白图像,二维图像点上有对应的投影三维点时就将该点设为白色,其他地方设为黑色,经过才操作后,得到了一个牙齿三维模型的剪影图像,其投影图像如图9所示。According to the camera perspective imaging matrix, the projection matrix of the tooth point cloud data in the M1 and M2 cases can be obtained. Here, because only the contour is used as the eigenvalue, it is not necessary to calculate the distance value between each point and the viewpoint camera coordinate to generate a grayscale image, thereby reducing a lot of calculations and speeding up the algorithm. Therefore, another simple method is used here, that is, to obtain a black and white image of the point cloud projection. When there is a corresponding projected three-dimensional point on the two-dimensional image point, the point is set to white, and other places are set to black. After the operation, a silhouette image of a tooth three-dimensional model is obtained, and its projection image is shown in Figure 9.
S144.对所述虚拟成像系统下的成像图像TPDimg进行预处理,并计算虚拟成像系统下的成像图像TPDimg的牙齿边缘信息,得到牙齿三维模型的投影边缘Edge2;S144. Preprocessing the imaging image TPD img under the virtual imaging system, and calculating the tooth edge information of the imaging image TPD img under the virtual imaging system to obtain the projection edge Edge 2 of the tooth three-dimensional model;
对成像图像TPDimg进行预处理并计算成像图像TPDimg的牙齿边缘信息,得到牙齿三维模型的投影边缘Edge2。其中Edge2内包含的数据结构为{{{Ix1,Iy1},{Xp1,Yp1,Zp1}},{{Ix2,Iy2},{Xp2,Yp2,Zp2}},...,{{Ixj,Iyj},{Xpj,Ypj,Zpj}}},其中{Ixj,Iyj}为第j个边缘点对应的图像坐标,{Xpj,Ypj,Zpj}为第j个投影边缘点对应的三维空间点。The imaging image TPD img is preprocessed and the tooth edge information of the imaging image TPD img is calculated to obtain the projection edge Edge 2 of the tooth three-dimensional model. The data structure contained in Edge 2 is {{{I x1 ,I y1 },{X p1 ,Y p1 ,Z p1 }},{{I x2 ,I y2 },{X p2 ,Y p2 ,Z p2 }},...,{{I xj ,I yj },{X pj ,Y pj ,Z pj }}}, where {I xj ,I yj } is the image coordinate corresponding to the j-th edge point, and {X pj ,Y pj ,Z pj } is the three-dimensional space point corresponding to the j-th projection edge point.
由于牙齿点云点云比较稀疏,且荧光图像的分辨率较大,因此,得到的牙齿模型剪影图像其形成了一个一个的点,为了准确的提取出轮廓,需要对该图像进行操作,这里选用的是图像形态学处理中的闭操作,通过先对图像进行膨胀,填补掉小的空隙,然后使用同等大小的腐蚀将原始边缘恢复成原始样子,这样便可以得到完整且无空隙的牙齿模型白色剪影,其图像如图10所示。Since the tooth point cloud is relatively sparse and the resolution of the fluorescent image is relatively large, the obtained tooth model silhouette image forms points one by one. In order to accurately extract the contour, the image needs to be operated. The closing operation in image morphological processing is used here. The image is first expanded to fill small gaps, and then the original edge is restored to its original shape using corrosion of the same size. In this way, a complete and gap-free white silhouette of the tooth model can be obtained, and the image is shown in Figure 10.
求得其投影轮廓时,采用相同与荧光图像取边缘操作,得到投影图像轮廓点和轮廓点对应的三维空间点,保存所有数据。其轮廓图像如图11所示。When obtaining the projection contour, the same edge operation as the fluorescence image is used to obtain the projection image contour points and the three-dimensional space points corresponding to the contour points, and all data are saved. The contour image is shown in Figure 11.
S145.计算得到的牙齿三维模型的投影边缘Edge2中每个二维坐标点到牙齿荧光图像的轮廓信息Edge1中每个二维坐标点中欧氏距离最近的点,保存对应关系及距离信息;S145. Save the corresponding relationship and distance information from each two-dimensional coordinate point in Edge 2 of the projection edge of the calculated three-dimensional tooth model to the point with the closest Euclidean distance to each two-dimensional coordinate point in Edge 1 of the contour information of the tooth fluorescence image;
在本实施例中,计算Edge2中每个二维坐标点{Ixj,Iyj}到Edge1中每个二维坐标点{Ixi,Iyi}中欧氏距离最近的点,保存对应关系及距离信息。In this embodiment, the point with the shortest Euclidean distance from each two-dimensional coordinate point {I xj ,I yj } in Edge 2 to each two-dimensional coordinate point {I xi ,I yi } in Edge 1 is calculated, and the corresponding relationship and distance information are saved.
S146.获取牙齿三维模型的投影边缘Edge2二维点坐标及对应的三维模型Ps上的对应点,并计算所有对应点距离的平均值Tavg;判断所述平均值Tavg是否小于设定的匹配距离阈值Ths,若是,则输出当前三维投影矩阵M2作为荧光图像与三维模型数据之间的配准矩阵;若否,则利用三维投影矩阵方程,更新外参矩阵M2,并继续执行步骤S143;S146. Obtain the two-dimensional point coordinates of the projection edge Edge 2 of the three-dimensional model of the tooth and the corresponding point on the corresponding three-dimensional model Ps , and calculate the average value T avg of the distances of all corresponding points; determine whether the average value T avg is less than the set matching distance threshold T hs , if so, output the current three-dimensional projection matrix M 2 as the registration matrix between the fluorescence image and the three-dimensional model data; if not, use the three-dimensional projection matrix equation to update the external parameter matrix M 2 , and continue to execute step S143;
对距离信息按照3σ原则删除Edge2中的野点,如果剩余配对点过多,则从Edge2中随机选择一部分点,组成约200个点的配对集合U,该集合U中包含荧光图像二维点坐标{Ixi,Iyi}及对应的三维Ps上的对应点{Xpj,Ypj,Zpj}。计算所有对应点距离的平均值Tavg,如果Tavg<Ths则输出当前投影矩阵M2作为荧光图像2D与三维模型3D数据之间的配准矩阵。否则利用三维投影矩阵方程,更新投影矩阵M2,然后返回步骤S143继续迭代。According to the 3σ principle, the wild points in Edge 2 are deleted from the distance information. If there are too many remaining paired points, a part of the points are randomly selected from Edge 2 to form a paired set U of about 200 points. The set U contains the coordinates of the two-dimensional points of the fluorescence image {I xi ,I yi } and the corresponding points {X pj ,Y pj ,Z pj } on the corresponding three-dimensional P s . The average value T avg of the distances of all corresponding points is calculated. If T avg <T hs , the current projection matrix M 2 is output as the registration matrix between the fluorescence image 2D and the three-dimensional model 3D data. Otherwise, the projection matrix M 2 is updated using the three-dimensional projection matrix equation, and then the process returns to step S143 to continue iteration.
利用得到的对应点信息及成像模型,采用最小二乘法更新相机外参矩阵M2。其轮廓更新过程如图12所示。最终M2矩阵为Using the corresponding point information and imaging model, the camera extrinsic matrix M 2 is updated using the least squares method. The contour update process is shown in Figure 12. The final M 2 matrix is
在迭代过程中,所有点距离的平均值减小过程如图13所示。During the iteration process, the average value of all point distances decreases as shown in Figure 13.
根据最终得到的外参投影矩阵M2和荧光相机内参矩阵M1可以利用三维投影矩阵,可以实现将三维牙齿模型Ps上的某一点投影到荧光图像上,映射结果如图14所示。According to the final obtained external parameter projection matrix M2 and the fluorescence camera internal parameter matrix M1 , the three-dimensional projection matrix can be used to project a certain point on the three-dimensional tooth model Ps onto the fluorescence image. The mapping result is shown in Figure 14.
S147.根据最终得到的外参矩阵M2和内参矩阵M1利用三维投影矩阵,将三维牙齿模型Ps上的点投影到荧光图像上。S147. Project the points on the three-dimensional tooth model Ps onto the fluorescent image using the three-dimensional projection matrix according to the final external parameter matrix M2 and the internal parameter matrix M1 .
在本实施例中,根据最终得到的投影矩阵M2和荧光相机内参矩阵M1可以利用三维投影矩阵,可以实现将三维牙齿模型Ps上的某一点投影到荧光图像上。In this embodiment, according to the finally obtained projection matrix M2 and the fluorescence camera internal parameter matrix M1 , a three-dimensional projection matrix can be used to project a certain point on the three-dimensional tooth model Ps onto the fluorescence image.
与现有技术相比,本实施例的有益效果是:Compared with the prior art, the beneficial effects of this embodiment are:
1.本实施例的处理对象为高精度牙齿三维点云数据,其处理速度快,精度高,便于实现,易于推广。1. The processing object of this embodiment is high-precision three-dimensional tooth point cloud data, which has fast processing speed, high precision, easy implementation and easy promotion.
2.本实施例提出了一种牙齿菌斑荧光图像与牙齿三维模型配准的方法,对于研究牙齿三维形态与龋病之间的联系奠定了基础。2. This embodiment proposes a method for registering a dental plaque fluorescence image with a three-dimensional tooth model, which lays a foundation for studying the relationship between the three-dimensional morphology of teeth and caries.
3.本实施例针对牙齿菌斑荧光图像与牙齿三维模型映射的方法,根据先验知识,采用了一种简单的初始化投影矩阵的方式,减少大量计算量,同时使算法更加简单高效。3. This embodiment of the method for mapping dental plaque fluorescence images to tooth three-dimensional models adopts a simple method of initializing the projection matrix based on prior knowledge, thereby reducing a large amount of calculation and making the algorithm simpler and more efficient.
本文中所描述的具体实施例仅仅是对本发明精神作举例说明。本发明所属技术领域的技术人员可以对所描述的具体实施例做各种各样的修改或补充或采用类似的方式替代,但并不会偏离本发明的精神或者超越所附权利要求书所定义的范围。The specific embodiments described herein are merely examples of the spirit of the present invention. A person skilled in the art of the present invention may make various modifications or additions to the specific embodiments described or replace them in a similar manner, but this will not deviate from the spirit of the present invention or exceed the scope defined by the appended claims.
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