摘要
It is shown that the polynomials based image registration, which is widely used in remote sensing field, does not have a sound mathematical basis. In fact, there seems no theoretical basis for the polynomials based transform to outperform the affine transformation, a much simpler one,in image registration. If the transformation functions are polynomials of order n, the corresponding scene is shown to be in general the intersection of two curved surfaces of order n + 1, in other words,a space curve. In some special cases, the scene is approaching to a plane. To our knowledge, such results did not appear in the literature previously.
It is shown that the polynomials based image registration, which is widely used in remote sensing field, does not have a sound mathematical basis. In fact, there seems no theoretical basis for the polynomials based transform to outperform the affine transformation, a much simpler one, in image registration. If the transformation functions are polynomials of order n, the corresponding scene is shown to be in general the intersection of two curved surfaces of order n + 1, in other words, a space curve. In some special cases, the scene is approaching to a plane. To our knowledge, such results did not appear in the literature previously.
出处
《自动化学报》
EI
CSCD
北大核心
2005年第2期188-194,共7页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of P. R. China (60175009, 60121302) Corresponding author:Hu Zhan-Yi
关键词
多项式转换
图像配准问题
均匀转换
单应性
转换函数
Image registration, polynomial transformation, affine transformation, homography
