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APPROXIMATION OF AN ARBITRARY FILTER AND ITS RECURSIVE IMPLEMENTATION
LI, BC; DEMA, S
发表期刊PATTERN RECOGNITION
1994-12-01
卷号27期号:12页码:1767-1774
文章类型Article
摘要Filtering is one of the important techniques in computer vision. It has been widely used in edge detection, image restoration, range image segmentation, etc. However, the efficient implementation of an arbitrary filter has been a challenging problem until now. In this paper, a novel method is proposed to implement an arbitrary filter. Firstly, an efficient recursive structure is proposed to implement any (polynomial) x (exponential)-type (PET) filter. The computational complexity and structure are independent of its filter mask size or its bandwidth. Secondly, a new method is proposed-Lagurre spectrum decomposition method-to obtain the PET approximation of any filters. As an example, the above method is applied to the approximation and implementation of Gaussian filters and experiments have shown that a perfect approximation can be obtained with only third-order Lagurre bases, and therefore only a fourth-order recursive filter is needed to implement Gaussian filters. Finally, the comparison of the present method with the known ones shows that (1) Lagurre polynomial bases are orthogonal with each other, so the filter approximation is simple, (2) the bases are complete and the completeness guarantees the approximation error can be reduced to zero, (3) the method can be used to design both Gaussian and any other filters.
关键词Filter Recursive Implementation Lagurre Polynomials Lagurre Orthogonal Bases Polynomial x Exponential-type (Pet) Filter Approximation Gaussian Filter
WOS标题词Science & Technology ; Technology
收录类别SCI
语种英语
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:A1994QB93700015
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/21831
专题09年以前成果
推荐引用方式
GB/T 7714
LI, BC,DEMA, S. APPROXIMATION OF AN ARBITRARY FILTER AND ITS RECURSIVE IMPLEMENTATION[J]. PATTERN RECOGNITION,1994,27(12):1767-1774.
APA LI, BC,&DEMA, S.(1994).APPROXIMATION OF AN ARBITRARY FILTER AND ITS RECURSIVE IMPLEMENTATION.PATTERN RECOGNITION,27(12),1767-1774.
MLA LI, BC,et al."APPROXIMATION OF AN ARBITRARY FILTER AND ITS RECURSIVE IMPLEMENTATION".PATTERN RECOGNITION 27.12(1994):1767-1774.
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