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CN106618450B - A kind of method of three mesh stereo endoscope self-calibration - Google Patents

A kind of method of three mesh stereo endoscope self-calibration Download PDF

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CN106618450B
CN106618450B CN201611040901.9A CN201611040901A CN106618450B CN 106618450 B CN106618450 B CN 106618450B CN 201611040901 A CN201611040901 A CN 201611040901A CN 106618450 B CN106618450 B CN 106618450B
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endoscope
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CN106618450A (en
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刘珊
郑文锋
曾庆川
杨波
李晓璐
马波涛
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University of Electronic Science and Technology of China
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Abstract

The invention discloses a kind of three mesh stereo endoscopes, can not be demarcated to stereo endoscope by extrinsic calibration template during normal use;Specifically, initial alignment is carried out first with three scope cameras of scaling board pair, obtains it and corresponds to initial alignment parameter;Secondly, in the case where ensureing that two camera parameters are constant, an other camera is zoomed in and out or focus adjustment, obtain three images that three camera synchronizations take after adjusting, characteristic point detection and matching operation are carried out to the overlapping region of three images, Feature Points Matching result based on three images, three-dimensional coordinate of the characteristic point in specified coordinate system is found out by 3D reconstruct, using gained characteristic point three-dimensional coordinate and gained characteristic point camera correspondence image to be calibrated pixel coordinate information, calibration for cameras is treated again to be demarcated, obtain the new parameter of camera to be calibrated.

Description

一种三目立体内窥镜自标定的方法A method for self-calibration of trinocular stereoscopic endoscope

技术领域technical field

本发明属于内窥镜技术领域,更为具体地讲,涉及一种三目立体内窥镜自标定的方法。The invention belongs to the technical field of endoscopes, and more specifically relates to a self-calibration method for a trinocular stereoscopic endoscope.

背景技术Background technique

微创以及无创外科手术是当代临床医学中最主要的发展趋势之一,与传统手术相比,它能够大大提高手术的质量,减少手术部位的创伤,减轻病人的痛苦,缩短了术后康复时间,这也成为了其作为国际上的一个研究热点的重要支撑。Minimally invasive and non-invasive surgery is one of the most important development trends in contemporary clinical medicine. Compared with traditional surgery, it can greatly improve the quality of surgery, reduce the trauma of the surgical site, reduce the pain of patients, and shorten the recovery time after surgery. , which has also become an important support for it as an international research hotspot.

传统的立体内窥镜是由两个镜头组成,即相当于双目摄像机,其一般的使用过程为:首先在使用前先根据要求设定好焦距,再利用标定参照物对立体内窥镜进行标定,然后再将其通过小创口伸入人体组织进行拍摄,由于内窥镜焦距固定的缘故,使得在拍摄过程中往往只能通过改变内窥镜与所要拍摄的人体组织的距离来获取清晰地图像,而这些动作将会大大增加内窥镜导管在介入过程中发生导管缠绕以及非预期接触人体重要器官的概率,而若采取通过调节内窥镜的焦距这一操作来获取想要的清晰的人体组织图像,则会丢失内窥镜的标定参数,而标定参数是立体内窥镜的重要参数,在手术过程中,只有结合标定参数,才能通过立体内窥镜获取到相关部位的三维信息,通过所得三维信息,医生对手术相关部位有了一个精确的定位,有利于手术的正确实施;同时在检测过程中,标定参数的重要性也不可或缺,通过立体内窥镜的标定参数与所获取人体组织图像,可重构出相关组织表面的三维信息,进而可以对病变组织的实际形状及大小有一个更精确的认识,有助于医生对病人病情的诊断。The traditional three-dimensional endoscope is composed of two lenses, which is equivalent to a binocular camera. The general use process is: first, set the focal length according to the requirements before use, and then use the calibration reference object to calibrate the three-dimensional endoscope , and then extend it into the human tissue through a small wound for shooting. Due to the fixed focal length of the endoscope, clear images can only be obtained by changing the distance between the endoscope and the human tissue to be photographed during the shooting process. , and these actions will greatly increase the probability of endoscopic catheter entanglement and unintended contact with important organs of the human body during the intervention process. tissue image, the calibration parameters of the endoscope will be lost, and the calibration parameters are important parameters of the stereoscopic endoscope. The obtained three-dimensional information allows the doctor to have an accurate positioning of the relevant parts of the operation, which is conducive to the correct implementation of the operation; at the same time, the importance of calibration parameters is also indispensable in the detection process, through the calibration parameters of the stereoscopic endoscope and the acquired The image of human tissue can reconstruct the three-dimensional information of the relevant tissue surface, and then can have a more accurate understanding of the actual shape and size of the diseased tissue, which is helpful for doctors to diagnose the patient's condition.

目前,在不需要参照标定物的情况下,通过自标定方法可以的获取到相机的内部参数,常用的自标定方法包括:基于绝对二次曲面和无穷远平面等自标定方法,但是这些传统自标定方法的标定精度不高,且鲁棒性不足[1](孟晓桥、胡占义,“摄像机自标定方法的研究与进展”,自动化学报,0254-4156),故而这一方法未能满足实际需求。At present, the internal parameters of the camera can be obtained through the self-calibration method without the need to refer to the calibration object. The commonly used self-calibration methods include: self-calibration methods based on absolute quadratic surfaces and infinite planes, but these traditional The calibration accuracy of the calibration method is not high, and the robustness is not enough [1] (Meng Xiaoqiao, Hu Zhanyi, "Research and Progress of Camera Self-calibration Method", Acta Automatica Sinica, 0254-4156), so this method cannot meet the actual needs.

为了获得精确的内窥镜标定信息,只能通过取出内窥镜,然后在外部环境中利用标定参照物重新进行标定,对于这一解决办法而言,这大大增加了操作的复杂度,对于正在执行手术操作时使用的立体内窥镜,这一操作是绝对不允许的。如果能够实时获取到其较为精确的相机参数,那么就可以有效避免立体内窥镜使用过程中的一些不必要操作了,同时也降低了操作的复杂程度,减少给病人带来的附加痛苦和危险。In order to obtain accurate calibration information of the endoscope, the only way is to take out the endoscope and then use the calibration reference object to re-calibrate in the external environment. For this solution, this greatly increases the complexity of the operation. Stereoscopic endoscopes are used during surgical procedures, which are absolutely not permitted. If the more accurate camera parameters can be obtained in real time, some unnecessary operations during the use of the stereoscopic endoscope can be effectively avoided, and the complexity of the operation is also reduced, reducing the additional pain and danger brought to the patient .

发明内容Contents of the invention

本发明的目的在于克服现有技术的不足,提供一种三目立体内窥镜自标定的方法,以实现立体内窥镜实时使用中参数变化后的实时标定。The object of the present invention is to overcome the deficiencies of the prior art, and provide a method for self-calibration of a trinocular stereoscopic endoscope, so as to realize real-time calibration after parameter changes during real-time use of the stereoscopic endoscope.

为实现上述发明目的,本发明一种三目立体内窥镜,其特征在于,包括:固定在同一筒状装置的三个独立电子内镜和均匀环绕在三个独立电子内镜周围的多个LED组成的光源,以及一个用于将三目立体内窥镜与电脑相连的USB接口;In order to achieve the above-mentioned purpose of the invention, a trinocular stereoscopic endoscope of the present invention is characterized in that it includes: three independent electronic endoscopes fixed on the same cylindrical device and a plurality of independent electronic endoscopes evenly surrounding the three independent electronic endoscopes A light source composed of LEDs, and a USB interface for connecting the trinocular stereoscopic endoscope to a computer;

所述的三个独立电子内镜的位置相对固定,均匀分布在筒状装置内,三个独立电子内镜的镜头位于筒状装置前端,与多个LED组成的光源共同构成成像单元,三个独立电子内镜的尾部位于筒状装置后端,且每个独立电子内镜的尾部拥有一个独立调节焦距的旋钮,当某一个电子内镜进行缩放或聚焦操作时,则三目立体内窥镜参数发生改变,那么当三目立体内窥镜完成初始标定后,另外两个未调节的电子内镜能够获取图像进行自标定;The positions of the three independent electronic endoscopes are relatively fixed, and are evenly distributed in the cylindrical device. The lenses of the three independent electronic endoscopes are located at the front end of the cylindrical device, and together with a light source composed of multiple LEDs, they form an imaging unit. The tail of the independent electronic endoscope is located at the rear end of the cylindrical device, and the tail of each independent electronic endoscope has a knob for independently adjusting the focal length. When a certain electronic endoscope performs zooming or focusing operations, the trinocular stereoscopic endoscope If the parameters are changed, when the trinocular stereoscopic endoscope completes the initial calibration, the other two unadjusted electronic endoscopes can acquire images for self-calibration;

当患者需要进行内窥检查时,先放入三目立体内窥镜,再通过尾部的旋钮进行聚焦,然后在光源的配合下通过三个电子内镜成像,最后通过连接在USB接口上的信号线传送至电脑。When the patient needs to perform endoscopic examination, put the trinocular stereoscopic endoscope first, then focus through the knob at the tail, then image through the three electronic endoscopes with the cooperation of the light source, and finally pass the signal connected to the USB interface wire to the computer.

其中,所述的电子内镜进行自标定的方法为:Wherein, the method for self-calibration of the electronic endoscope is:

(1)、三目立体内窥镜初始化(1) Trinocular stereoscopic endoscope initialization

使用前,利用标定模板对三目立体内窥镜进行标定,获取各内镜的初始标定参数矩阵Aa、Ab、Ac和畸变系数向量K1、K2、K3,以及各内镜相机坐标系之间的转换关系[Rab Tab]、[Rac Tac]、[Rbc Tbc];Before use, use the calibration template to calibrate the trinocular stereoscopic endoscope, and obtain the initial calibration parameter matrices A a , A b , A c and distortion coefficient vectors K 1 , K 2 , K 3 of each endoscope, and each endoscope Conversion relationship between camera coordinate systems [R ab T ab ], [R ac T ac ], [R bc T bc ];

其中,参数矩阵的通用形式即为:α,β分别为相机在x和y方向上的焦距,γ为倾斜因子,(u0 v0)为相机光心在像平面投影点在像素坐标系下的像素坐标;K=[k1 k2 k3 k4],k1,k2为径向畸变系数,k3,k4为离心畸变系数;R为右侧相机坐标系到左侧相机坐标系的旋转矩阵,T为右侧相机坐标系到左侧相机坐标系的平移向量;Among them, the general form of the parameter matrix is: α, β are the focal lengths of the camera in the x and y directions respectively, γ is the tilt factor, (u 0 v 0 ) is the pixel coordinate of the camera optical center projected on the image plane in the pixel coordinate system; K=[k 1 k 2 k 3 k 4 ], k 1 , k 2 are radial distortion coefficients, k 3 , k 4 are centrifugal distortion coefficients; R is the rotation matrix from the right camera coordinate system to the left camera coordinate system, and T is the right camera The translation vector from the coordinate system to the left camera coordinate system;

(2)、当某一电子内镜进行缩放或聚焦操作时,先获取参数已知的电子内镜与待标定电子内镜在同一时刻的图像,再利用步骤(1)中所得各电子内镜的畸变系数k1,k2,k3,k4对所得图像进行畸变校正,然后对校正后的图像进行特征提取,获取各图像中的特征点,再进行特征点匹配,最后从三张图像中均成功匹配的特征点中选取n组特征点;(2) When a certain electronic endoscope performs a zooming or focusing operation, first obtain the image of the electronic endoscope with known parameters and the electronic endoscope to be calibrated at the same time, and then use the electronic endoscope obtained in step (1) Distortion coefficients k 1 , k 2 , k 3 , k 4 of the obtained images are corrected for distortion, and then the features of the corrected images are extracted to obtain the feature points in each image, and then the feature points are matched. Finally, from the three images Select n groups of feature points from the feature points that are successfully matched;

(3)、根据步骤(1)中各坐标系间转换关系和步骤(2)中选取的n组特征点构造解线性方程组;(3), according to the conversion relationship between each coordinate system in the step (1) and the n group of feature points selected in the step (2), the solution linear equations is constructed;

设A电子内镜为待标定电子内镜,则构造的解线性方程组为:Assuming that A electronic endoscope is the electronic endoscope to be calibrated, then the constructed linear equations are:

其中,[ub vb 1]T和[uc vc 1]T分别为特征点对应已进行初始标定电子内镜B和C对应图像中点的像素点的齐次坐标;Rbc、Tbc和Rab、Tab分别为电子内镜C的相机坐标系到B相机坐标系的旋转矩阵、平移量和B相机坐标系到A相机坐标系的旋转矩阵、平移量;[Xb Yb Zb]T和[Xc Yc Zc]T分别为特征点对应B、C相机坐标系中三维坐标;[Xa Ya Za 1]T、[Xb Yb Zb 1]T和[Xc Yc Zc 1]T分别为A、B、C相机坐标系的点的齐次坐标;Among them, [ ub v b 1] T and [u c v c 1] T are the homogeneous coordinates of the feature points corresponding to the pixel points in the images corresponding to the electronic endoscopes B and C that have been initially calibrated; R bc , T bc , R ab , T ab are the rotation matrix and translation amount from the camera coordinate system of electronic endoscope C to the B camera coordinate system, and the rotation matrix and translation amount from the B camera coordinate system to the A camera coordinate system; [X b Y b Z b ] T and [X c Y c Z c ] T are the three-dimensional coordinates of the feature points corresponding to the B and C camera coordinate systems respectively; [X a Y a Z a 1] T , [X b Y b Z b 1] T and [X c Y c Z c 1] T are the homogeneous coordinates of points in the A, B, and C camera coordinate systems, respectively;

最后再求解该方程组,获取n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1Ya1 Za1]T......[Xan Yan Zan]TFinally, solve the equations to obtain the three-dimensional coordinates [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T of n groups of feature points in the coordinate system of the endoscope camera to be calibrated;

(4)、利用n个待标定电子内镜对应图像中特征点的像素坐标[ua1 va1]T......[uanvan]T和n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1 Ya1 Za1]T......[Xan YanZan]T,结合这两者间的关系构建如下线性方程:(4), using the pixel coordinates [u a1 v a1 ] T ...... [u an v an ] T of the feature points in the corresponding images of n electronic endoscopes to be calibrated and n groups of feature points in the endoscope to be calibrated The three-dimensional coordinates in the camera coordinate system [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T , combined with the relationship between the two Construct the following linear equation:

利用最小二乘法求解该线性方程,获取待标定电子内镜的内部参数矩阵,然后利用非线性优化算法,引入畸变系数,对内部参数矩阵进行修正,得到待标定电子内镜的新畸变系数,从而完成待标定电子内镜的自标定。The least square method is used to solve the linear equation to obtain the internal parameter matrix of the electronic endoscope to be calibrated, and then the nonlinear optimization algorithm is used to introduce the distortion coefficient, and the internal parameter matrix is corrected to obtain the new distortion coefficient of the electronic endoscope to be calibrated, thus Complete the self-calibration of the electronic endoscope to be calibrated.

本发明的发明目的是这样实现的:The purpose of the invention of the present invention is achieved like this:

本发明一种三目立体内窥镜,可以在正常使用过程中不借助外部标定模板对立体内窥镜标定;具体讲,首先利用标定板对三个内镜相机进行初始标定,获取其对应初始标定参数;其次,在保证两个相机参数不变下,对另外的一个相机进行缩放或聚焦调节,获取调节后三个相机同一时刻拍摄到的三张图像,对三张图像的重合区域进行特征点检测和匹配操作,基于三张图像的特征点匹配结果,通过3D重构求出特征点在指定坐标系中的三维坐标,利用所得特征点三维坐标以及所得特征点在待标定相机对应图像的像素坐标信息,再对待标定相机进行标定,获取待标定相机新的参数。A trinocular stereoscopic endoscope of the present invention can calibrate the stereoscopic endoscope without the aid of an external calibration template during normal use; specifically, first use the calibration board to initially calibrate the three endoscope cameras, and obtain the corresponding initial calibration parameters; secondly, while keeping the parameters of the two cameras unchanged, adjust the zoom or focus of the other camera, obtain three images captured by the three cameras at the same time after adjustment, and perform feature points on the overlapping areas of the three images Detection and matching operations, based on the matching results of the feature points of the three images, obtain the three-dimensional coordinates of the feature points in the specified coordinate system through 3D reconstruction, and use the obtained three-dimensional coordinates of the feature points and the pixels of the obtained feature points in the corresponding image of the camera to be calibrated Coordinate information, and then calibrate the camera to be calibrated to obtain new parameters of the camera to be calibrated.

同时,本发明一种三目立体内窥镜自标定的方法还具有以下有益效果:Simultaneously, a method for self-calibration of a trinocular stereoscopic endoscope of the present invention also has the following beneficial effects:

(1)、本发明在实际使用过程中,可以实现在线获取内镜标定参数的功能,而不需要将内窥镜从患者体内取出标定。(1) During the actual use of the present invention, the function of obtaining the calibration parameters of the endoscope online can be realized without taking the endoscope out of the patient's body for calibration.

(2)、本发明引入了初始标定这一操作,而由于初始标定是通过标定参照物来获取的,即其初始标定参数精度可靠,并以获得的内窥镜的初始标定参数作为对参数变化后内镜进行新的标定的基础,故而本发明相对于现有自标定方法结果更为精确。(2), the present invention introduces the operation of initial calibration, and because the initial calibration is obtained by calibrating the reference object, that is, the accuracy of the initial calibration parameters is reliable, and the initial calibration parameters of the obtained endoscope are used as a parameter change The basis for new calibration of the posterior endoscope, so the present invention is more accurate than the results of the existing self-calibration method.

附图说明Description of drawings

图1是本发明一种三目立体内窥镜结构示意图;Fig. 1 is a kind of trinocular three-dimensional endoscope structure schematic diagram of the present invention;

图2是本发明一种三目立体内窥镜镜头分布示意图;Fig. 2 is a schematic diagram of lens distribution of a trinocular stereoscopic endoscope of the present invention;

图3是本发明一种三目立体内窥镜的原理框图;Fig. 3 is a schematic block diagram of a trinocular stereoscopic endoscope of the present invention;

图4是本发明一种三目立体内窥镜的自标定流程图。Fig. 4 is a flow chart of self-calibration of a trinocular stereoscopic endoscope according to the present invention.

具体实施方式Detailed ways

下面结合附图对本发明的具体实施方式进行描述,以便本领域的技术人员更好地理解本发明。需要特别提醒注意的是,在以下的描述中,当已知功能和设计的详细描述也许会淡化本发明的主要内容时,这些描述在这里将被忽略。Specific embodiments of the present invention will be described below in conjunction with the accompanying drawings, so that those skilled in the art can better understand the present invention. It should be noted that in the following description, when detailed descriptions of known functions and designs may dilute the main content of the present invention, these descriptions will be omitted here.

实施例Example

图1是本发明一种三目立体内窥镜结构示意图。Fig. 1 is a structural schematic diagram of a trinocular stereoscopic endoscope according to the present invention.

在本实施例中,采用三个超眼5mm规格的医用内镜做为三目立体内窥镜的组成原件,其中的成像传感器为CMOS光学传感器。In this embodiment, three superocular 5mm medical endoscopes are used as the components of the trinocular stereoscopic endoscope, and the imaging sensor is a CMOS optical sensor.

如图1所示,本发明一种三目立体内窥镜,包括:固定在同一筒状装置的三个独立电子内镜和均匀环绕在三个独立电子内镜周围的多个LED组成的光源,以及一个用于将三目立体内窥镜与电脑相连的USB接口;As shown in Figure 1, a trinocular stereoscopic endoscope of the present invention includes: three independent electronic endoscopes fixed on the same cylindrical device and a light source composed of a plurality of LEDs evenly surrounding the three independent electronic endoscopes , and a USB interface for connecting the trinocular stereoscopic endoscope to a computer;

如图2所示,三个独立电子内镜的位置相对固定,均匀分布在筒状装置内,三个独立电子内镜的镜头位于筒状装置前端,与多个LED组成的光源共同构成成像单元,三个独立电子内镜的尾部位于筒状装置后端,且每个独立电子内镜的尾部拥有一个独立调节焦距的旋钮,当某一个电子内镜进行缩放或聚焦操作时,则三目立体内窥镜参数发生改变,那么当三目立体内窥镜完成初始标定后,另外两个未调节的电子内镜能够获取图像进行自标定;As shown in Figure 2, the positions of the three independent electronic endoscopes are relatively fixed and evenly distributed in the cylindrical device. The lenses of the three independent electronic endoscopes are located at the front end of the cylindrical device, and together with a light source composed of multiple LEDs, they form an imaging unit. , the tails of the three independent electronic endoscopes are located at the rear end of the cylindrical device, and the tails of each independent electronic endoscope have a knob for independently adjusting the focal length. When a certain electronic endoscope is zooming or focusing, the trinocular stereo When the endoscope parameters are changed, when the trinocular stereoscopic endoscope completes the initial calibration, the other two unadjusted electronic endoscopes can acquire images for self-calibration;

如图1所示,图中的1为镜头部分,其由三个独立内镜与光源组成,2、3、4分别为三个电子内镜的焦距调节旋钮;As shown in Figure 1, 1 in the figure is the lens part, which is composed of three independent endoscopes and light sources, and 2, 3, and 4 are the focal length adjustment knobs of the three electronic endoscopes;

当患者需要进行内窥检查时,先放入三目立体内窥镜,再通过尾部的旋钮进行聚焦,然后在光源的配合下通过三个电子内镜成像,其成像原理如图3所示,最后通过连接在USB接口上的信号线传送至电脑。When the patient needs to perform an endoscopic examination, first put the trinocular stereoscopic endoscope, then focus through the knob at the tail, and then image through three electronic endoscopes with the cooperation of the light source. The imaging principle is shown in Figure 3. Finally, it is sent to the computer through the signal cable connected to the USB interface.

在实际的诊疗过程中,因实时需要改变内镜相机参数,因此,三目立体内窥镜需要在相机参数改变时进行实时自标定,下面对电子内镜进行自标定的方法为:In the actual diagnosis and treatment process, the camera parameters of the endoscope need to be changed in real time. Therefore, the trinocular stereoscopic endoscope needs to perform real-time self-calibration when the camera parameters change. The following method for self-calibration of the electronic endoscope is as follows:

(1)、三目立体内窥镜初始化(1) Trinocular stereoscopic endoscope initialization

使用前,利用标定模板对三目立体内窥镜进行标定,获取各内镜的初始标定参数矩阵Aa、Ab、Ac和畸变系数向量K1、K2、K3,以及各内镜相机坐标系之间的转换关系[Rab Tab]、[Rac Tac]、[Rbc Tbc],在本实施例中,标定模板选用棋盘格标定板;Before use, use the calibration template to calibrate the trinocular stereoscopic endoscope, and obtain the initial calibration parameter matrices A a , A b , A c and distortion coefficient vectors K 1 , K 2 , K 3 of each endoscope, and each endoscope The conversion relationship between camera coordinate systems [R ab T ab ], [R ac T ac ], [R bc T bc ], in this embodiment, the calibration template is a checkerboard calibration board;

其中,参数矩阵的通用形式即为:α,β分别为相机在x和y方向上的焦距,γ为倾斜因子,(u0v0)为相机光心在像平面投影点在像素坐标系下的像素坐标;K=[k1k2k3k4],k1,k2为径向畸变系数,k3,k4为离心畸变系数;R为右侧相机坐标系到左侧相机坐标系的旋转矩阵,T为右侧相机坐标系到左侧相机坐标系的平移向量;Among them, the general form of the parameter matrix is: α, β are the focal lengths of the camera in the x and y directions respectively, γ is the tilt factor, (u 0 v 0 ) is the pixel coordinate of the camera optical center projected on the image plane in the pixel coordinate system; K=[k 1 k 2 k 3 k 4 ], k 1 , k 2 are radial distortion coefficients, k 3 , k 4 are centrifugal distortion coefficients; R is the rotation matrix from the right camera coordinate system to the left camera coordinate system, and T is the right camera The translation vector from the coordinate system to the left camera coordinate system;

其中,畸变系数对应模型为:Among them, the corresponding model of the distortion coefficient is:

xu-x=(k1x(x2+y2)+k2x(x2+y2)2)+(2k3xy+k4(3x2+y2))x u -x=(k 1 x(x 2 +y 2 )+k 2 x(x 2 +y 2 ) 2 )+(2k 3 xy+k 4 (3x 2 +y 2 ))

yu-y=(k1y(x2+y2)+k2y(x2+y2)2)+(k3(x2+3y2)+2k4xy)y u -y=(k 1 y(x 2 +y 2 )+k 2 y(x 2 +y 2 ) 2 )+(k 3 (x 2 +3y 2 )+2k 4 xy)

其中,(xu yu)和(x y)分别表示理想没有畸变和实际有畸变。Among them, (x u y u ) and (xy) represent ideal without distortion and actual distortion respectively.

(2)、当某一电子内镜进行缩放或聚焦操作时,先获取参数已知的电子内镜与待标定电子内镜在同一时刻的图像,再利用步骤(1)中所得各内镜的畸变系数k1,k2,k3,k4对所得图像进行畸变校正,然后对校正后的图像进行特征提取,获取各图像中的特征点,再进行特征点匹配,最后从三张图像中均成功匹配的特征点中选取n组特征点;(2) When a certain electronic endoscope performs a zooming or focusing operation, first obtain the images of the electronic endoscope with known parameters and the electronic endoscope to be calibrated at the same time, and then use the images of each endoscope obtained in step (1) Distortion coefficients k 1 , k 2 , k 3 , k 4 perform distortion correction on the obtained image, and then perform feature extraction on the corrected image to obtain feature points in each image, then perform feature point matching, and finally extract the features from the three images Select n groups of feature points from the feature points that are all successfully matched;

在本实施例中,利用尺度不变特征变换算法SIFT,获取待标定电子内镜对应图像a与任意一参数已知电子内镜对应图像b的特征匹配点集Xab,再次运用SIFT算法分别获取待标定电子内镜对应图像a与另一参数已知电子内镜对应图像c的匹配点集Xac和参数已知单子内镜对应图像b与参数已知电子内镜对应图像c的匹配点集Xbc,如Xab、Xac与Xbc中的某一点是同一点,则判定此点为三张图像的匹配点,即得到了三张图像的匹配点集,匹配点集中匹配点组数n≥3。In this embodiment, the scale-invariant feature transformation algorithm SIFT is used to obtain the feature matching point set X ab of the corresponding image a of the electronic endoscope to be calibrated and the corresponding image b of the electronic endoscope with any known parameter, and the SIFT algorithm is used again to obtain The matching point set X ac of the corresponding image a of the electronic endoscope to be calibrated and the corresponding image c of the electronic endoscope with known parameters and the matching point set X ac of the corresponding image b of the single endoscope with known parameters and the corresponding image c of the electronic endoscope with known parameters X bc , if a point in X ab , X ac and X bc is the same point, it is determined that this point is the matching point of the three images, that is, the matching point set of the three images is obtained, and the number of matching point groups in the matching point set n≥3.

(3)、根据步骤(1)中各坐标系间转换关系和步骤(2)中选取的n组特征点构造解线性方程组;(3), according to the conversion relationship between each coordinate system in the step (1) and the n group of feature points selected in the step (2), the solution linear equations is constructed;

设A电子内镜为待标定电子内镜,则构造的解线性方程组为:Assuming that A electronic endoscope is the electronic endoscope to be calibrated, then the constructed linear equations are:

其中,[ub vb 1]T和[uc vc 1]T分别为特征点对应已进行初始标定电子内镜B和C对应图像中点的像素点的齐次坐标;Rbc、Tbc和Rab、Tab分别为电子内镜C的相机坐标系到B相机坐标系的旋转矩阵、平移量和B相机坐标系到A相机坐标系的旋转矩阵、平移量;[Xb Yb Zb]T和[Xc Yc Zc]T分别为特征点对应B、C相机坐标系中三维坐标;[Xa Ya Za 1]T、[Xb Yb Zb 1]T和[Xc Yc Zc 1]T分别为A、B、C相机坐标系的点的齐次坐标;Among them, [ ub v b 1] T and [u c v c 1] T are the homogeneous coordinates of the feature points corresponding to the pixel points in the images corresponding to the electronic endoscopes B and C that have been initially calibrated; R bc , T bc , R ab , T ab are the rotation matrix and translation amount from the camera coordinate system of electronic endoscope C to the B camera coordinate system, and the rotation matrix and translation amount from the B camera coordinate system to the A camera coordinate system; [X b Y b Z b ] T and [X c Y c Z c ] T are the three-dimensional coordinates of the feature points corresponding to the B and C camera coordinate systems respectively; [X a Y a Z a 1] T , [X b Y b Z b 1] T and [X c Y c Z c 1] T are the homogeneous coordinates of points in the A, B, and C camera coordinate systems, respectively;

最后再求解该方程组,获取n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1Ya1 Za1]T......[Xan Yan Zan]TFinally, solve the equations to obtain the three-dimensional coordinates [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T of n groups of feature points in the coordinate system of the endoscope camera to be calibrated;

(4)、利用n个待标定电子内镜对应图像中特征点的像素坐标[ua1 va1]T......[uanvan]T和n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1 Ya1 Za1]T......[Xan YanZan]T,结合这两者间的关系有上述可知,一个匹配点及其对应三维坐标可得到两个线性方程,而存在5个未知参数,即至少需要3个匹配点才能得到一个唯一解,故在对三个内镜单元对应图像实施匹配操作获取的匹配点组数需满足n≥3这一条件。故当有n个匹配点时,即可得到如下等式构建如下线性方程:(4), using the pixel coordinates [u a1 v a1 ] T ...... [u an v an ] T of the feature points in the corresponding images of n electronic endoscopes to be calibrated and n groups of feature points in the endoscope to be calibrated The three-dimensional coordinates in the camera coordinate system [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T , combined with the relationship between the two From the above, it can be known that one matching point and its corresponding three-dimensional coordinates can obtain two linear equations, but there are five unknown parameters, that is, at least three matching points are needed to obtain a unique solution, so the corresponding images of the three endoscope units are implemented The number of matching point groups obtained by the matching operation needs to meet the condition of n≥3. Therefore, when there are n matching points, the following equation can be obtained to construct the following linear equation:

利用最小二乘法求解该线性方程,获取待标定电子内镜的内部参数矩阵,然后利用非线性优化算法,引入畸变系数,对内部参数矩阵进行修正,得到待标定电子内镜的新畸变系数,从而完成待标定电子内镜的自标定。The least square method is used to solve the linear equation to obtain the internal parameter matrix of the electronic endoscope to be calibrated, and then the nonlinear optimization algorithm is used to introduce the distortion coefficient, and the internal parameter matrix is corrected to obtain the new distortion coefficient of the electronic endoscope to be calibrated, thus Complete the self-calibration of the electronic endoscope to be calibrated.

其中,非线性优化算法采用的模型为:Among them, the model adopted by the nonlinear optimization algorithm is:

其中,K为畸变系数,A为内部参数矩阵,mi表示n组特征点中第i个特征点对应待标定电子内镜对应图像的实际像素坐标,Mi为第i个特征点在待匹配内镜相机坐标系中的三维坐标,m(K,A,Mi)为点Mi在待标定电子内镜对应图像中的投影点的像素坐标。Among them, K is the distortion coefficient, A is the internal parameter matrix, m i indicates that the i-th feature point in the n groups of feature points corresponds to the actual pixel coordinates of the corresponding image of the electronic endoscope to be calibrated, and M i is the i-th feature point to be matched The three-dimensional coordinates in the endoscope camera coordinate system, m(K,A,M i ) is the pixel coordinate of the projection point of point M i in the corresponding image of the electronic endoscope to be calibrated.

尽管上面对本发明说明性的具体实施方式进行了描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。Although the illustrative specific embodiments of the present invention have been described above, so that those skilled in the art can understand the present invention, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, As long as various changes are within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.

Claims (3)

1.一种三目立体内窥镜自标定的方法,其特征在于,包括以下步骤:1. a method for trinocular stereoscopic endoscope self-calibration, is characterized in that, comprises the following steps: (1)、三目立体内窥镜初始化(1) Trinocular stereoscopic endoscope initialization 使用前,利用标定模板对三目立体内窥镜进行标定,获取各内镜的初始标定参数矩阵Aa、Ab、Ac和畸变系数向量K1、K2、K3,以及各内镜相机坐标系之间的转换关系[Rab Tab]、[RacTac]、[Rbc Tbc];Before use, use the calibration template to calibrate the trinocular stereoscopic endoscope, and obtain the initial calibration parameter matrices A a , A b , A c and distortion coefficient vectors K 1 , K 2 , K 3 of each endoscope, and each endoscope Conversion relationship between camera coordinate systems [R ab T ab ], [R ac T ac ], [R bc T bc ]; 其中,参数矩阵的通用形式即为:α,β分别为相机在x和y方向上的焦距,γ为倾斜因子,(u0 v0)为相机光心在像平面投影点在像素坐标系下的像素坐标;K=[k1k2 k3 k4],k1,k2为径向畸变系数,k3,k4为离心畸变系数;R为右侧相机坐标系到左侧相机坐标系的旋转矩阵,T为右侧相机坐标系到左侧相机坐标系的平移向量;Among them, the general form of the parameter matrix is: α, β are the focal lengths of the camera in the x and y directions respectively, γ is the tilt factor, (u 0 v 0 ) is the pixel coordinate of the camera optical center projected on the image plane in the pixel coordinate system; K=[k 1 k 2 k 3 k 4 ], k 1 , k 2 are radial distortion coefficients, k 3 , k 4 are centrifugal distortion coefficients; R is the rotation matrix from the right camera coordinate system to the left camera coordinate system, and T is the right camera The translation vector from the coordinate system to the left camera coordinate system; (2)、当某一电子内镜进行缩放或聚焦操作时,先获取参数已知的电子内镜与待标定电子内镜在同一时刻的图像,再利用步骤(1)中所得各电子内镜的畸变系数k1,k2,k3,k4对所得图像进行畸变校正,然后对校正后的图像进行特征提取,获取各图像中的特征点,再进行特征点匹配,最后从三张图像中均成功匹配的特征点中选取n组特征点;(2) When a certain electronic endoscope performs a zooming or focusing operation, first obtain the image of the electronic endoscope with known parameters and the electronic endoscope to be calibrated at the same time, and then use the electronic endoscope obtained in step (1) Distortion coefficients k 1 , k 2 , k 3 , k 4 of the obtained images are corrected for distortion, and then the features of the corrected images are extracted to obtain the feature points in each image, and then the feature points are matched. Finally, from the three images Select n groups of feature points from the feature points that are successfully matched; (3)、根据步骤(1)中各坐标系间转换关系和步骤(2)中选取的n组特征点构造解线性方程组;(3), according to the conversion relationship between each coordinate system in the step (1) and the n group of feature points selected in the step (2), the solution linear equations is constructed; 设A电子内镜为待标定电子内镜,则构造的解线性方程组为:Assuming that A electronic endoscope is the electronic endoscope to be calibrated, then the constructed linear equations are: 其中,[ub vb 1]T和[uc vc 1]T分别为特征点对应已进行初始标定电子内镜B和C对应图像中点的像素点的齐次坐标;Rbc、Tbc和Rab、Tab分别为电子内镜C的相机坐标系到B相机坐标系的旋转矩阵、平移量和B相机坐标系到A相机坐标系的旋转矩阵、平移量;[Xb Yb Zb]T和[XcYc Zc]T分别为特征点对应B、C相机坐标系中三维坐标;[Xa Ya Za 1]T、[Xb Yb Zb 1]T和[XcYc Zc 1]T分别为A、B、C相机坐标系的点的齐次坐标;Among them, [ ub v b 1] T and [u c v c 1] T are the homogeneous coordinates of the feature points corresponding to the pixel points in the images corresponding to the electronic endoscopes B and C that have been initially calibrated; R bc , T bc , R ab , T ab are the rotation matrix and translation amount from the camera coordinate system of electronic endoscope C to the B camera coordinate system, and the rotation matrix and translation amount from the B camera coordinate system to the A camera coordinate system; [X b Y b Z b ] T and [X c Y c Z c ] T are the three-dimensional coordinates of the feature points corresponding to the B and C camera coordinate systems respectively; [X a Y a Z a 1] T , [X b Y b Z b 1] T and [X c Y c Z c 1] T are the homogeneous coordinates of points in the A, B, and C camera coordinate systems, respectively; 最后再求解该方程组,获取n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1 Ya1Za1]T......[Xan Yan Zan]TFinally, solve the equations to obtain the three-dimensional coordinates [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T of n groups of feature points in the coordinate system of the endoscope camera to be calibrated; (4)、利用n个待标定电子内镜对应图像中特征点的像素坐标[ua1 va1]T......[uan van]T和n组特征点在待标定内镜相机坐标系中的三维坐标[Xa1 Ya1 Za1]T......[Xan Yan Zan]T,结合这两者间的关系构建如下线性方程:(4), using the pixel coordinates [u a1 v a1 ] T ...... [u an v an ] T of the feature points in the corresponding image of n electronic endoscopes to be calibrated and n groups of feature points in the endoscope to be calibrated The three-dimensional coordinates in the camera coordinate system [X a1 Y a1 Z a1 ] T ...... [X an Y an Z an ] T , combined with the relationship between the two Construct the following linear equation: 利用最小二乘法求解该线性方程,获取待标定电子内镜的内部参数矩阵,然后利用非线性优化算法,引入畸变系数,对内部参数矩阵进行修正,得到待标定电子内镜的新畸变系数,从而完成待标定电子内镜的自标定;The least square method is used to solve the linear equation to obtain the internal parameter matrix of the electronic endoscope to be calibrated, and then the nonlinear optimization algorithm is used to introduce the distortion coefficient, and the internal parameter matrix is corrected to obtain the new distortion coefficient of the electronic endoscope to be calibrated, thus Complete the self-calibration of the electronic endoscope to be calibrated; 其中,所述的三目立体内窥镜的结构包括:固定在同一筒状装置的三个独立电子内镜和均匀环绕在三个独立电子内镜周围的多个LED组成的光源,以及一个用于将三目立体内窥镜与电脑相连的USB接口;Wherein, the structure of the trinocular stereoscopic endoscope includes: three independent electronic endoscopes fixed on the same cylindrical device and a light source composed of multiple LEDs uniformly surrounding the three independent electronic endoscopes, and a The USB interface used to connect the trinocular stereoscopic endoscope to the computer; 所述的三个独立电子内镜的位置相对固定,均匀分布在筒状装置内,三个独立电子内镜的镜头位于筒状装置前端,与多个LED组成的光源共同构成成像单元,三个独立电子内镜的尾部位于筒状装置后端,且每个独立电子内镜的尾部拥有一个独立调节焦距的旋钮,当某一个电子内镜进行缩放或聚焦操作时,则三目立体内窥镜参数发生改变,那么当三目立体内窥镜完成初始标定后,另外两个未调节的电子内镜能够获取图像进行自标定;The positions of the three independent electronic endoscopes are relatively fixed, and are evenly distributed in the cylindrical device. The lenses of the three independent electronic endoscopes are located at the front end of the cylindrical device, and together with a light source composed of multiple LEDs, they form an imaging unit. The tail of the independent electronic endoscope is located at the rear end of the cylindrical device, and the tail of each independent electronic endoscope has a knob for independently adjusting the focal length. When a certain electronic endoscope performs zooming or focusing operations, the trinocular stereoscopic endoscope If the parameters are changed, when the trinocular stereoscopic endoscope completes the initial calibration, the other two unadjusted electronic endoscopes can acquire images for self-calibration; 当患者需要进行内窥检查时,先放入三目立体内窥镜,再通过尾部的旋钮进行聚焦,然后在光源的配合下通过三个电子内镜成像,最后通过连接在USB接口上的信号线传送至电脑。When the patient needs to perform endoscopic examination, put the trinocular stereoscopic endoscope first, then focus through the knob at the tail, then image through the three electronic endoscopes with the cooperation of the light source, and finally pass the signal connected to the USB interface wire to the computer. 2.根据权利要求1所述的一种三目立体内窥镜自标定的方法,其特征在于,所述的步骤(2)中,n的取值满足n≥3。2. A method for self-calibration of a trinocular stereoscopic endoscope according to claim 1, characterized in that, in the step (2), the value of n satisfies n≥3. 3.根据权利要求1所述的一种三目立体内窥镜自标定的方法,其特征在于,所述的步骤(4)中,非线性优化算法采用的模型为:3. the method for a kind of trinocular stereoscopic endoscope self-calibration according to claim 1, is characterized in that, in described step (4), the model that nonlinear optimization algorithm adopts is: 其中,K为畸变系数,A为内部参数矩阵,mi表示n组特征点中第i个特征点对应待标定电子内镜对应图像的实际像素坐标,Mi为第i个特征点在待匹配内镜相机坐标系中的三维坐标,m(K,A,Mi)为点Mi在待标定相机对应图像中的投影点的像素坐标。Among them, K is the distortion coefficient, A is the internal parameter matrix, m i indicates that the i-th feature point in the n groups of feature points corresponds to the actual pixel coordinates of the corresponding image of the electronic endoscope to be calibrated, and M i is the i-th feature point to be matched The three-dimensional coordinates in the endoscopic camera coordinate system, m(K,A,M i ) is the pixel coordinate of the projection point of point M i in the corresponding image of the camera to be calibrated.
CN201611040901.9A 2016-11-21 2016-11-21 A kind of method of three mesh stereo endoscope self-calibration Expired - Fee Related CN106618450B (en)

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