Efficient Design of 2-D Nonseparable Filters of Low Complexity

被引：0

作者：

Fanian, K. ^{[1
]}

Tuan, H. D. ^{[1
]}

Nguyen, T. Q. ^{[2
]}

机构：

[1] Univ New South Wales, Sch Elect Engn & Telecommun, Unsw Sydney, NSW 2052, Australia

[2] Univ Calif San Diego, Dept Elect & Comp Engn, La Jolla, CA 92093 USA

来源：

2009 16TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-6 | 2009年

关键词：

2-D filter; Diamond-Shaped filters; Semi-Definite Programming;

D O I：

10.1109/ICIP.2009.5413813

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

By using Semi-Definite Programming (SDP) as a tool, a new deign for Two-Dimensional (2-D) Diamond-Shaped (DS) filters is developed. Surprisingly, the diamond shape of the filter is exactly expressed by using simple 2-D trigonometric polynomial curves of second order. In contrast to the high-order polynomial transformation based methods, the order of the designed filters is kept moderate with no performance sacrifices. Unlike conventional non-separable 2-D filters, the designed filters allow fast digital implementation despite being nonseparable and hence they are of low complexity. Numerical Simulations with application to quincunx image sampling are also performed to illustrate the viability of our method.

引用

页码：4001 / +

页数：2

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