基于基本矩阵的相机畸变差校正方法研究

在计算机视觉的应用领域中,为了提高图像量测和三维重建的精度,必须对相机的畸变误差进行修正.本文提出了一种基于基本矩阵的相机径向畸变的自动校正方法,该方法不需要预先获得场景的结构信息和相机的内部参数,仅利用两张影像同名点集之间的内在几何关系,即可求取相机的径向畸变系数,进而可对这两幅图像的畸变误差进行自动校正.实验结果表明,该方法是一种有效的畸变图像校正算法,能够获得到满意的校正结果.     

由灭点进行径向畸变的自动校正

目的镜头畸变影响着3维重建、几何量测等工作的质量。根据图像中的灭点几何约束条件,提出一种根据灭点进行弱径向畸变自动校正方法。方法为避免包含畸变中心参数的非线性模型优化结果的不稳定性,在求解径向畸变系数之后进一步对畸变中心进行优化。首先根据灭点几何约束条件建立关于灭点与径向畸变系数的非线性模型,使用Levenberg-Marquardt(LM)算法估计灭点坐标与径向畸变参数,然后根据质量评价准则对畸变中心和径向畸变系数进一步迭代优化;最后,通过真实图像对该方法的可行性进行分析验证。结果采用不同的数据对径向畸变进行了有效地校正,并采用校正后的数据进行了相机标定,标定结果相对于传统基于非量测校正方法有明显的提高。结论充分利用图像中的灭点属性,提出一种新的镜头径向畸变校正方法。实验结果表明,该方法能够有效地对径向畸变进行校正,并克服了传统基于非量测畸变校正方法的不稳定性。     

基于灭点的径向畸变自动校正方法

镜头畸变影响着三维重建、几何量测等工作的质量。本文根据图像中的灭点几何约束条件,提出一种基于灭点的弱径向畸变自动校正方法。为避免包含畸变中心参数的非线性模型优化结果的不稳定性,本文在求解径向畸变系数之后进一步对畸变中心进行优化。首先根据灭点几何约束条件建立关于灭点与径向畸变系数的非线性模型,使用LM算法估计灭点坐标与径向畸变参数,然后根据质量评价准则对畸变中心和径向畸变系数进一步迭代优化;最后,通过真实图像对该方法的可行性进行分析验证。本文充分利用图像中的灭点属性,提出一种新的镜头径向畸变校正方法。实验结果表明,该方法能够有效的对径向畸变进行校正,并克服了传统校正方法的不稳定性。     

一种基于斜率的摄像机畸变校正方法

普通 CCD摄像机在成像时都存在畸变成像误差 ,在机器人视觉检测及自动装配中 ,有效地进行误差校正对准确确定物体的位置具有重要的意义 .本文采用带有一阶径向畸变的小孔摄像机模型 ,提出一种基于线段斜率的方法 ,对摄像机镜头的径向畸变进行校正 ,不必标定太多的摄像机的外参数 ,方法简洁 ,适合于视觉系统中对摄像机畸变的实时校正 ,或对摄像机捕获的图像进行几何校正 .实验表明 ,具有很强的鲁棒性和较高的校正精度     

一种基于斜率和摄像机畸变校正方法

普通CCD摄像机在成像时都存在畸变成像误差，在机器人视觉检测及自动装配中，有效地进行误差校正对准确确定物体的位置具有重要的意义。本文采用带有一阶径向畸变的小孔摄像机模型，提出一种基于线段斜率的方法，对摄像机镜头的径向畸变进行校正，不必标定太多的摄像机的外参数、方法简洁，适合于视觉系统中对摄像机畸变的实时校正，或对摄像机捕获的图像进行几何校正。实验表明，具有很强的鲁棒性和较高的校正精度。     

遥操作机器人全局摄像机图像畸变校正

遥操作中采用全局摄像机对机器人进行定位时存在图像畸变带来的误差,针对这一问题提出了一种图像畸变校正方法.该方法采用径向基神经网络(RBFNN)进行畸变校正.从而获得机器人在实际空间中的坐标位置.实验表明,该方法简单有效,适用于广角镜头带来的图像畸变校正.可以满足利用定位坐标进行路径规划的要求.     

鱼眼图像径向畸变校正的一种新方法

由于鱼眼相机视场广阔在很多领域都得到了广泛应用,但其图像存在着明显的径向 畸变,需要在应用之前加以校正。为此分析了径向畸变模型解析解的非唯一性;根据径向畸变的 对称性,得出了畸变直线与理想直线之间的关系,即畸变校正的解析表达式;提出了一种鱼眼图 像径向畸变校正的新方法。实验证明,该方法计算简单,能有效校正包含直线特征的场景。     

精确校正图像的径向畸变和倾斜失真

对于用图像进行几何检测,由数码相机生成的图像存在一些固有缺点,如存在径向畸变、倾斜几何变形等。为此提出了一种可同时精确校正数码相机图像的径向畸变和倾斜失真的算法。该算法基于标准网格,首先分别建立倾斜变形模型和径向畸变模型,由此建立目标图像的倾斜变形和径向畸变的联合变形模型;然后用最小二乘法和最优化算法求根据联合失真模型求得标准网格的失真参数,利用该参数可校正同等条件下获得的目标图像;最后对实际图像进行了校正实验,获得了满意的校正结果,说明该算法能有效地同时精确校正图像的径向畸变和倾斜失真。     

基于图像平面的畸变校正方法

针对图像液位检测系统中摄像头引入的图像畸变,提出一种基于图像平面的校正方法。使用虚拟的标准校正图代替实际图,通过二阶径向模型的反复迭代求取畸变系数,利用双线性插值对输出像素点灰度进行插补。实验结果表明,该方法的校正误差小于0.35个像素点,能有效提高视频检测精度。     

一种基于几何性质的鱼眼图像校正算法

为快速、高效地校正具有径向畸变的鱼眼图像,提出一种基于几何性质的校正算法。根据投影不变性原理以及径向畸变的几何特性,计算畸变直线的斜率,并通过求解线性方程组得出多项式校正模型的参数。实验结果表明,该算法能够以较低的运算复杂度获得较高的校正精度,相比于采用数学迭代拟合直线的方法,该算法在图像整体校正质量上有明显改善。     

一种多尺度几何分析的摄像机对弱定标算法

自主车上的立体视觉系统一般由两台固定在平台上的定焦摄像机组成,因此摄像机内参数经一次标定后不再变化,只需要考虑外参数的标定.本文针对自主车视觉系统的特殊应用情况,提出一种基于多尺度几何分析思想的摄像机对弱定标算法,该算法采用Contourlet变换对左右图像中的角点进行检测,利用Hartley规范化8点法估计摄像机对的基础矩阵.依托现有的摄像机内部参数标定工具箱,在摄像机对弱定标的基础上还可以快速地获得摄像机对之间的外参数矩阵.实验结果表明该方法具有较好的精度.     

Automatic Radial Distortion Estimation from a Single Image

Many computer vision algorithms rely on the assumptions of the pinhole camera model, but lens distortion with off-the-shelf cameras is usually significant enough to violate this assumption. Many methods for radial distortion estimation have been proposed, but they all have limitations. Robust automatic radial distortion estimation from a single natural image would be extremely useful for many applications, particularly those in human-made environments containing abundant lines. For example, it could be used in place of an extensive calibration procedure to get a mobile robot or quadrotor experiment up and running quickly in an indoor environment. We propose a new method for automatic radial distortion estimation based on the plumb-line approach. The method works from a single image and does not require a special calibration pattern. It is based on Fitzgibbon’s division model, robust estimation of circular arcs, and robust estimation of distortion parameters. We perform an extensive empirical study of the method on synthetic images. We include a comparative statistical analysis of how different circle fitting methods contribute to accurate distortion parameter estimation. We finally provide qualitative results on a wide variety of challenging real images. The experiments demonstrate the method’s ability to accurately identify distortion parameters and remove distortion from images.     

Fast and robust numerical solutions to minimal problems for cameras with radial distortion

A number of minimal problems of structure from motion for cameras with radial distortion have recently been studied and solved in some cases. These problems are known to be numerically very challenging and in several cases there were no practical algorithms yielding solutions in floating point arithmetic. We make some crucial observations concerning the floating point implementation of Gröbner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate that these two problems can be efficiently solved in floating point arithmetic in simulated and real experiments. For comparison we have also invented a new non-minimal algorithm for estimating fundamental matrix and two different radial distortion parameters for two uncalibrated views and twelve image point correspondences based on a generalized eigenvalue problem.     

What you see is what you get [self-calibrating camera lens distortion]

A self-calibration method is presented for self-calibrating camera lens distortion by using only the image correspondences of two views. Two images of a single object are related by the epipolar geometry, which can be described by a 3 /spl times/ 3 singular matrix called fundamental matrix. It captures all geometric information contained in two images. An optimization method is applied to minimize the epipolar distances of the two images by adjusting the camera lens radial distortion coefficient. The merit of the method is that it does not rely on any ground truth data. Simulation and experimental results are given to demonstrate the applicability of the method.     

Camera calibration with distortion models and accuracy evaluation

A camera model that accounts for major sources of camera distortion, namely, radial, decentering, and thin prism distortions is presented. The proposed calibration procedure consists of two steps: (1) the calibration parameters are estimated using a closed-form solution based on a distribution-free camera model; and (2) the parameters estimated in the first step are improved iteratively through a nonlinear optimization, taking into account camera distortions. According to minimum variance estimation, the objective function to be minimized is the mean-square discrepancy between the observed image points and their inferred image projections computed with the estimated calibration parameters. The authors introduce a type of measure that can be used to directly evaluate the performance of calibration and compare calibrations among different systems. The validity and performance of the calibration procedure are tested with both synthetic data and real images taken by tele- and wide-angle lenses     

Using vanishing points for camera calibration

In this article a new method for the calibration of a vision system which consists of two (or more) cameras is presented. The proposed method, which uses simple properties of vanishing points, is divided into two steps. In the first step, the intrinsic parameters of each camera, that is, the focal length and the location of the intersection between the optical axis and the image plane, are recovered from a single image of a cube. In the second step, the extrinsic parameters of a pair of cameras, that is, the rotation matrix and the translation vector which describe the rigid motion between the coordinate systems fixed in the two cameras are estimated from an image stereo pair of a suitable planar pattern. Firstly, by matching the corresponding vanishing points in the two images the rotation matrix can be computed, then the translation vector is estimated by means of a simple triangulation. The robustness of the method against noise is discussed, and the conditions for optimal estimation of the rotation matrix are derived. Extensive experimentation shows that the precision that can be achieved with the proposed method is sufficient to efficiently perform machine vision tasks that require camera calibration, like depth from stereo and motion from image sequence.     

基于场景几何约束未标定两视图的三维模型重建

提出了一种从两幅未标定图象重建场景三维模型的方法 .这种方法充分利用了人造结构场景中大量存在的平行性和正交性几何约束 ,即利用每幅视图中三组互相垂直的平行线 ,计算出 3个影灭点 ,从而对每幅视图进行标定 .对两幅未标定图象 ,从基本矩阵只能得到射影重构 ,如果每幅图象都已标定 ,则可将基本矩阵转化为本质矩阵 .三维重构过程有两个步骤 :先是恢复相机的位置和运动 ;后是用三角测量法计算出点的三维坐标 .对多平面组成的场景进行三维重构实验 ,所得三维模型产生新的视点图象 ,与所观察的场景一致 ,重构的两个平面夹角与实际值相近 ,实验结果表明 ,该算法是行之有效的     

摄像机旋转运动下的多帧图像对齐技术

针对传统旋转运动参数估计都是采用两帧图像对齐技术,提出了为多帧运动参数估计方法,即使用多帧子空间约束技术．证明了当摄像机参数不变时,多帧运动参数集合可嵌入一个低维线性子空间上;使用奇异值分解方法来降低线性子空间的秩,用最小二乘技术求解所有帧的运动参数．该方法不需要恢复任何3D信息;由于多帧参数估计法比两帧有更多的约束,因此取得更精确的图像对齐效果．该方法可用小图像进行参数估计．     

一种基于非量测畸变校正的摄像机标定方法

设计一种基于非量测畸变校正的摄像机标定方法.该方法利用单参数除式模型校正镜头畸变,根据直线透视投影保留同素性,通过拉凡格氏法（LM）优化标定出畸变模型系数和摄像机主点坐标,然后校正成像点,使其满足针孔模型映射关系.根据内参数的两个基本方程,线性求解剩余参数.实验表明,该方法在非量测标定过程具有较好的鲁棒性,且对比张正友标定方法,可在单幅标靶图像下进行标定,避免了模型内外参数耦合在一起,提高了标定效率.