[1]管焱然[],管有庆[]. 基于OpenCV的仿射变换研究与应用[J].计算机技术与发展,2016,26(12):58-63.
　GUAN Yan-ran[],GUAN You-qing[]. Research and Application of Affine Transformation Based on OpenCV[J].,2016,26(12):58-63.
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 基于OpenCV的仿射变换研究与应用()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
26
期数:
2016年12期
页码:
58-63
栏目:
智能、算法、系统工程
出版日期:
2016-12-10

文章信息/Info

Title:
 Research and Application of Affine Transformation Based on OpenCV
文章编号:
1673-629X（2016)12-0058-06
作者:
管焱然[1]; 管有庆[2]
1.东华大学；2.南京邮电大学
Author(s):
 GUAN Yan-ran[1]; GUAN You-qing[2]
关键词:
 ; 图像处理; 仿射变换; 矩阵; OpenCV ; 算法
Keywords:
 ; image processing; affine transformation; matrix; OpenCV; algorithm
分类号:
TP31
文献标志码:
A
摘要:
 仿射变换是一种常用的图像几何变换。使用仿射变换矩阵能够方便地描述图像的线性变换以及平移等非线性变换。介绍了仿射变换的数学原理,并借助OpenCV函数库的内部函数对仿射变换的算法进行具体分析。通过在原图像和目标图像上分别找出三个不共线的点,并利用这两组三点间的一一映射构建方程组,并求解得出一个2×3的仿射变换矩阵M；再根据所求得的仿射变换矩阵M,对图像上每一个点进行变换,在这个过程中可采用最近邻插值算法、线性插值算法、三次样条插值算法和兰索斯插值算法进行实现。给出了一个图像实例对仿射变换进行说明。
Abstract:
 Affine transformation is a kind of frequently used geometric image transformation in the field of computer image processing. An affine transformation matrix can be used to describe any linear transformation and one kind of nonlinear transformation. It gives an intro-duction to the mathematical principles of affine transformation and makes an analysis of the algorithms of affine transformation basing on the OpenCV function library. If one image is related to another by an affine transformation,three pairs of corresponding points of the two images are needed to solve for the 2í3 affine transformation matrix M ,which is used to apply the transformation to the source image. A series of interpolation algorithms can be employed such as nearest neighbor interpolation,linear interpolation,cubic spline interpolation and Lanczos interpolation to implement the affine transformation. An example is given concerning affine transformation of an image.

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更新日期/Last Update: 2017-02-03