| 基于多项式图像配准问题的一点研究 |
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| 引用本文： | 黄凤荣, 胡占义. 基于多项式图像配准问题的一点研究. 自动化学报, 2005, 31(2): 188-194. |
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| 作者姓名： | 黄凤荣 胡占义 |
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| 作者单位： | 1.National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100080 |
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| 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.
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| 关 键 词： | Image registration polynomial transformation affine transformation homography |
| 收稿时间： | 2003-05-19 |
| 修稿时间： | 2003-09-03 |
A Note on Polynomials Based Image Registration |
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| HUANG Feng-Rong, HU Zhan-Yi. A Note on Polynomials Based Image Registration. ACTA AUTOMATICA SINICA, 2005, 31(2): 188-194. |
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| Authors: | HUANG Feng-Rong HU Zhan-Yi |
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| Affiliation: | 1. National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | 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. |
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| Keywords: | Image registration polynomial transformation affine transformation homography |
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