## 针对手机拍摄图像的图像校正算法研究

Title            Research on Image Rectification Algorithm   for Pictures Shot by Mobile Phones
Abstract
With the increasing popularity of the smart phones, we have more chances to use our phones as cameras. However, when we use cell phones to shoot documents or white boards, the pictures are usually perspectively distorted due to slant shooting angle or deflection of the target, which is not good for read and recognition. In this thesis, a correction algorithm combining Gaussian elimination and gray-level neighboring interpolation is discussed. Firstly, a bilinear space mapping model is established. Then, Gaussian elimination method is used for solve the pair of simultaneous equations. Finally, the most neighboring interpolation method or the bilinear interpolation is used to fill Gray differential. As a result, my design can correct the picture fast and accurately.
Keywords  Geometry Correction    Perspective Correction    Projection   源自六/维"论\文|网.加7位QQ3249"114 www.lwfree.cn
Mapping    the most Neighboring Interpolation Method

1  绪论 1
1.1  研究背景 1
1.2  几何校正的研究现状 1
1.3  本文研究内容及论文内容安排2
2  几何校正概述  2
2.1  几何畸变产生原因及分类： 2
2.2   常见的几种空间变换算法  4
3  基于双线性空间变换和最邻近插值算法的几何校正技术 5
3.1  透视校正过程概述  5
3.2  空间变换 6
3.2..1  双线性空间变换  6
3.2.2  变换方程组的求解  8
3.2.3  高斯消元法  9
3.3   灰度插值  11
3.3.1  最邻近插值  11
3.3.2  双线性插值  12
3.4   OpenCV与几何校正  14
4  透视纠正结果和分析  15
4.1  程序运行过程  15
4.2  运行效果图对比  17
4.3  透视纠正结果和分析  21
4.3  评估  25

1  绪论
1．1  研究背景

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