APPROXIMATION OF AN ARBITRARY FILTER AND ITS RECURSIVE IMPLEMENTATION
文献类型：期刊论文
| 作者 | LI, BC ; DEMA, S
|
| 刊名 | PATTERN RECOGNITION
 |
| 出版日期 | 1994-12-01 |
| 卷号 | 27期号:12页码:1767-1774 |
| 关键词 | Filter Recursive Implementation Lagurre Polynomials Lagurre Orthogonal Bases Polynomial x Exponential-type (Pet) Filter Approximation Gaussian Filter |
| 文献子类 | Article |
| 英文摘要 | 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. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:A1994QB93700015 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/21831]  |
| 专题 | 自动化研究所_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. |
入库方式： OAI收割
来源：自动化研究所
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