| 袁洲,杨建伟.无参数化的中心投影描绘子[J].光电子激光,2019,30(4):434~441 |
| 无参数化的中心投影描绘子 |
| Central projection descriptor without parameterization |
| 投稿时间：2018-09-13 |
| DOI： |
| 中文关键词: 中心投影变换 仿射变换 参数化 白化变换 Fourier描绘子 |
| 英文关键词:central projection transformation affine transformation parameteriz ation whitening transformation Fourier descriptor |
| 基金项目:国家自然科学基金(61572015；41375115；11301276)资助项目 (南京信息工程大学 数学与统计学院,江苏 南京 210044) |
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| 中文摘要: |
| 中心投影类算法需对所得闭曲线参数化,这种参数化一方面增加了计算量, 另一方面参数化的精 度影响特征的提取效果。为此,本文提出一种无参数化的中心投影描绘子,其实质相当于将 目标利用中心投影变 换转化为闭曲线,然后将闭曲线所围区域进行白化变换。这种白化变换消除了仿射变换中的 斜切,将仿射变换转 化为仅有旋转和伸缩,最后利用Fourier描绘子提取不变特征。与现有算法不同处在于,这 里的白化变换以公式形 式给出,无需参数化。实验表明,所提描绘子的识别率接近100%,并且在抗噪性能上优于MS A和AMIs算法。 |
| 英文摘要: |
| Algorithms using central projection all need to parameteriz e the obtained closed curves,which will increase the amount of calculation.Besid es,the accuracy of parameterization affects the effect of feature extraction.To this end,a central projection descriptor without paramet erization is proposed in this paper,which is equivalent to converting the image into a closed curve by the central projection transformation,and then whitening the region enclosed by the closed curve.The whitening transformation eliminates the slant,transforming the affine transformation into rotation and scale only,and finally the Fourier descriptor is used to extract the invariant features. Unlike the existing algorithms,the whitening transformation here is given in th e form of formulas and has no parameterization.The experimental results show that the classification accuracy of the proposed descriptor can achieve almost 100% in the absence of noise.In addition,the proposed descriptor is superior t o the traditional MSA and AMIs algorithms in anti-noise performance.This validates the effectiveness of the proposed alg orithm. |
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