高度自动化获取书籍扫描图像畸变参数的理论

提出一种利用打印直线获取书籍扫描图像畸变校正所用参数的新方法,可提高畸变参数获取的自动化程度。对于打印在纸张上的直线,当打印纸夹在书籍中扫描图像时,打印纸随着书籍页面弯曲成曲面,它也随之弯曲成空间曲线,其扫描图像则为平面曲线,包含了页面弯曲状态的信息。理论上分析了该平面曲线与畸变参数之间的关系。利用这种关系及最小二乘法原理,对该平面曲线上的点进行曲线拟合,可自动计算出对应页面的畸变参数,不再像以前那样必须进行人工调整。     

书籍扫描图像畸变参数自动计算方法的研究

为实现书籍扫描图像的畸变自动校正,提出用多项式来描述各像素的理论灰度g(zi)与页面上对应点到扫描仪工作平面距离zi二者之间的关系。为确立该多项式,在畸变参数已知条件下扫描一幅图像,根据已知畸变参数求出zi,即可按最小二乘法原理由各像素灰度的实际值求出多项式的各个系数。实验证明,采用4阶多项式已能满足一般要求,并求出了各系数。对任意扫描图像,自动计算畸变参数的方法为:首先利用扫描图像上页边空白处各像素的灰度,对畸变参数进行估计,并求出zi的估计值;然后代入所确立的多项式,可求得g(zi);通过调整各畸变参数的估计值,直到g(zi)与gi最为接近,即得最佳畸变参数。用于图像校正实验,获得了较好的校正效果,最大误差由不校正时的41%下降到了6.9%。这使得无需用户测量并输入有关畸变参数即可进行自动校正。     

一种用于计算三维视觉测量中线结构光平面的新型算法

介绍了一种基于线结构光的机器视觉测量系统的光平面计算方法.该方法采用图像减影来获取光条图像,利用Steger算法提取图像中的亚像素光条中心点,再用正交直线拟合法计算图像坐标系下的光条直线方程.通过靶标特征点的世界坐标和交比不变性,计算线结构光在靶标平面上的世界坐标点,并将这些坐标点用正交平面拟合法计算得到光平面方程.为了提高整体准确度,本文对算法进行了细节优化,给出了标定系统的设计方案和实验过程.实验结果表明,该方法具有较好的鲁棒性和较高的准确度.     

移动视觉测量中基于空间交会的匹配方法

移动视觉测量中大量非编码点粘贴在被测物表面。由于图像点在不同站位图像中形状相似,因此无法提供足够多的信息来对其进行分类识别,匹配不同图像间的非编码点是移动视觉测量中的一项重要任务。大量研究证明,极线匹配方法是实现图像点匹配的有效方法。然而移动视觉测量的相机是未经过标定的,在利用极线匹配方法时,图像畸变会使基本矩阵求解精度较低,从而导致大量误匹配情况出现。为了解决该问题,提出一种基于空间交会的非编码点匹配方法。该方法通过不同图像间编码点的自动匹配,结合平差优化算法初步获取各站位的内外参数。然后利用这些参数将二维图像点重投影成对应的三维空间直线,在空间中利用直线间的交会关系确定图像匹配点。大量实验证明,该方法可以比极线匹配方法寻找更多的匹配点,更适合用于移动视觉测量。     

面向开环扫描系统的超声图像畸变校正方法

超声显微成像技术广泛应用于工业无损检测领域。相较于闭环、半闭环扫描系统硬件复杂、成本高,开环扫描系统结构简单、成本低,但由于无反馈机制会导致步进电机的非线性运动引起图像像素错位畸变。因此,消除非线性运动带来的错位畸变是采用开环扫描系统实现高质量超声成像的关键。该文提出集最大值投影法、最大类间方差法和中心坐标校正法于一体的MIP-Otsu-C³M方法,对开环扫描系统获得的硬币回波数据采用最大值投影法获取初始灰度图像,采用最大类间方差法获取感兴趣区域的B扫描图像边缘像素位置,并采用中心坐标校正法成功消除像素错位,解决了超声C扫描图像畸变问题。对消除错位畸变的回波数据进行飞行时间法和傅里叶变换法图像重建,直接获得了非畸变的三维图像和透视图像。该新颖算法也验证了最大值投影法可拓展至图像畸变校正应用。     

移动特征靶标的摄像机径向畸变标定

针对成像测量系统中镜头径向畸变影响测量精度的问题,提出了一种基于物面移动同心圆特征靶标的径向畸变标定方法。该方法先将固定在二维精密平台上的同心圆靶标置于垂直物面的特定位置,然后采集靶标图像,同时用最小二乘法以拟合得到的圆直径为条件,按一定方式移动特征靶标,直到拟合值达到极值或者在一定误差范围内。记录该幅图像,则其拟合得到的圆心坐标便是畸变中心,同时利用该幅图像,根据等差值半径和摄像机成像模型的半径的成像关系求出其畸变多项式系数。为提高特征靶标的移动效率,提出了坐标轮换最优化移动的方案。实验结果表明,该方法对畸变中心的标定精度可达0.6pixel,畸变多项式系数有效数字重复误差小于0.02,并可实现两者的一靶标定,且利用该法获得的参数能实现对畸变图像的准确校正。     

基于传递像机的移动摄像测量方法

针对大型结构表面积较大而像机视野有限的问题,提出了一种基于传递像机的移动摄像测量方法,该方法可对大型结构进行全局扫描测量。利用固定连接于移动平台的传递像机对基准标识点进行图像采集,采用像机参数标定方法对传递像机的外参数进行计算,得到相邻时刻移动平台坐标的相对转换关系。测量像机在移动平台的驱动下围绕结构表面采集特征点,利用运动平台坐标的转换关系计算得到测量像机的实时外参数。建立等效双目交会共线方程,并对特征点位置进行计算,在初始位置完成参数标定后,即可实现自动测量。实验结果表明,所提出的移动摄像测量方法的测量精度可达2.012mm,且自动化程度较高,可应用于大型结构的在线监测。     

基于直线特征的摄像机镜头畸变标定方法

在多视域广角成像系统中,为了保证后续图像拼接的质量,必须对从广角镜头所获得的畸变图像进行校正。利用图像中直线特征的畸变标定方法,并且提出一种带权重因子的弯曲测度指标函数,离图像中心不同距离的曲线给予不同的权重值,作为求取最终畸变参数的目标函数。在最小化目标函数过程中,求解出最优畸变系数。并基于工程实例,分别利用传统基于直线特征的畸变校正方法与本文方法对目标图像进行畸变校正。实验结果表明,本文方法仅仅利用单幅图像就能获得高精度的畸变标定,在噪声水平小于2 pixel时,对应坐标的均方根误差能控制在0.3 pixel以内。同时该方法操作简单、方便、易于实现。     

基于两个正交一维物体的单幅图像相机标定

提出了一种利用两个正交一维物体构成"T"型靶标进行摄像机标定的新方法。该方法只需对"T"型靶标上已知坐标的5点投影一幅图像,然后根据柔性靶标原理计算出由虚点和标记点组成的共直线的4点,由射影变换同素性、接合性以及交比不变性标定出镜头的一阶径向畸变参数。利用已知畸变参数对图像进行畸变校正,然后由基于两个正交一维物体坐标变换的方法即可标定出相机的内外参数。该方法线性求解镜头畸变参数,避免了传统方法非线性迭代优化过程中产生的参数耦合现象。实验表明,不进行镜头畸变校正则相机标定精度随着图像噪声的增加呈不稳定状态;进行畸变校正后对简单标定计算的初始值进行优化得到稳定的高精度标定结果。整个实验设备简单,操作方便,只需一幅图像即可实现镜头畸变和相机内外参数的标定,可以达到实时的效果。     

书籍扫描图像畸变参数自动计算精度的提高

建立了一个数据文件,用于存储一些在不同弯曲状态下书籍扫描图像页边灰度的曲线数据以及对应的多项式系数。利用多项式来描述在某种弯曲状态下像素灰度与页面上的对应点到扫描仪工作平面之间的距离关系。任意弯曲状态下的书籍扫描图像可以在数据文件中搜索到与其最接近的弯曲状态,并利用对应的多项式系数自动求得最佳畸变参数,用于图像的畸变校正实验,获得了较好的校正效果,最大误差由未校正时的63%下降到了4.4%。这使得在无需人工测量或调整畸变参数的条件下可自动校正书籍扫描图像。     

Robust geometric,phase and colour structured light projection system calibration

This paper introduces a new comprehensive procedure for both geometric and colour calibration of structured light system. In order to perform both geometric and colour calibration procedure, a new calibration artifact is proposed. The intrinsic and extrinsic parameters of projector and camera are estimated by using an extended pinhole camera model with a tangential and radial distortion. Camera image plane coordinates are obtained by extracting features from images of a calibration artifact. Projector image plane coordinates are calculated on the basis of continuous phase maps obtained from a fringe pattern phase reconstruction procedure. In order to stereo calibrate camera-projector system, pairs of corresponding image plane points are calculated with subpixel accuracy. In addition, one of three pattern views is used in colour calibration. RGB values of a colour field pattern detected by camera and their reference values are compared. This comparison leads to derivation of a colour transformation matrix. The performance of the proposed method is tested by measuring plane, sphere and distance reference. Also 360 degrees complex object 3D model from a set of measurements is obtained. Residual mean errors for all tests performed are calculated.     

Recognition of a light line pattern by Hu moments for 3-D reconstruction of a rotated object

A simple technique of a light line projection for 3-D shape detection of rotated objects is presented. In this technique, an object is rotated around its symmetrical axis four times at an angle by using an electromechanical device and scanned by a light line. Four views of the object surface are extracted from each one of these rotations by processing a set of light line images. These views are connected using rotation angle and origin coordinates to obtain the complete 3-D shape. Angle and origin are calculated by recognition of a light line pattern. Light line pattern is recognized by Hu moments. In this manner, measurement errors on setup are avoided. It is an advantage over common methods, where these two parameters are measured directly on the setup to obtain the 3-D shape. Local profilometric method is based on the perturbation that the light line suffers when it is projected on the object surface. This perturbation is observed on an image plane due to the different direction between light line projector and viewer. These perturbations are measured by using Gaussian functions. In this technique the light line images are processed in very fast form. The technique and processing time are presented in detail. This technique is tested with objects, which have little information and its experimental results are also presented.     

Line-scan CCD camera calibration in 2D coordinate measurement

We present a line-scan camera calibration method in a plane not perpendicular to but parallel to the optical axis, without requiring the camera motion or a complex calibration pattern. A random 2D reference coordinate system in the calibration plane can be used, images of a rod perpendicular to the calibration plane at known coordinates are captured by the camera, the relation between the given coordinates and the rod image centroid position are analyzed based on a reduced pinhole model and image processing, and then the camera parameters and distortion factors are all estimated. These distortion factors build a sample relation only between the image position in theory and in practice, and they do not change with object position. Two wide-angle line-scan cameras that are used in a 2D-coordinate measurement system are calibrated by this method; the application results illustrate the effectiveness and convenience of this method.     

A corrected method of distorted printed circuit board image

This paper proposes a corrected method of distorted image based on adaptive control. First, the adaptive control relationship of pixel point positions between distorted image and its corrected image is given by using polynomial fitting, thus control point pairs between the distorted image and its corrected image are found. Secondly, the value of both image distortion centre and polynomial coefficient is obtained with least square method, thus the relationship of each control point pairs is deduced. In the course of distortion image processing, the gray value of the corrected image is changed into integer with bilinear interpolation. Finally, the experiments are performed to correct two distorted printed circuit board images. The results are perfect and the mean square errors of residual error are tiny.     

基于DLT模型的摄像机标定简化方法

在忽略摄像机镜头畸变误差的情况下,通过建立像坐标系与物坐标系,利用DLT模型,结合最优化算法的标定方法和两步法,由于在物坐标系中平面物体的任意一点在Z轴上的分量为0,减少变量数至5个,从而推导出一种简化的摄像机标定方法.借助实例,在文中建立的2个命题的基础上,通过对圆的切线、切线交点及所成像的几何关系确定的的坐标进行参数求解,得到确定模型的二维像和三维像.此外,考虑到更为一般的情况,引入畸变误差(径向误差),对模型先忽略误差项,得到初始参数值,然后利用迭代方法求解.     

A novel planar calibration method using the iterative correction of control points information

In the camera calibration using translational planar object instead of 3D target, the skew affected by the imprecision in installation causes the object to deviate from the designated position, which produces errors to the world coordinates of control points and reduces the calibration accuracy. In this paper, a skew correction model is established to correct this skew. We note and prove that the skew bias of control point which is close to the fix point is tiny. According to the projection regulation, the pixel distance between two adjacent control points which is close to the fix point in skewed situation is a value extremely approximate to that in the ideal situation. Based on this property, we utilize the pixel distance to assign the image coordinates based on the fix point. The assigned values are then employed to estimate the skew factors, by which the initial camera parameters are optimized and lens distortion in the calibration images are corrected. This process is then repeated until convergence. Experiments based on real images prove that this method is more accurate than other methods without correcting skew. The parameters obtained by our method can be applied to the 3D reconstruction directly and effectively.     

CH自由基在外电场中的分子结构和势能函数

运用密度泛函B3P86方法,结合Dunning的相关一致五重基cc-PV5Z,获得了CH自由基分子在不同外电场中的键长、偶极矩和振动频率等物理性质参数.通过分析物理性质参数的变化,判断离解电场所处的范围,设置合适的参数扫描该范围的单点能获得势能曲线.结果表明物理性质参数和势能值随外电场的变化而变化,且反向电场中变化幅度较大.利用Morse势模型拟合无外场下势能函数,得到的拟合参数与实验值吻合较好,采用偶极近似构建外电场下的势能函数模型,编制程序拟合对应的势能函数,得出拟合参数,进而计算临界离解电场参量,结果与数值计算值较为一致,说明构建的模型是可靠和准确的.这为分析外场下分子光谱、动力学特性和分子Stark效应冷却囚禁提供重要的理论和实验参考.