Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/6805

R-D Performance Upper Bound of Transform Coding for 2-D Directional Sources

Authors Zhu, Shuyuan
Yeung, Siu-Kei Au
Zeng, Bing
Issue Date 2009
Source IEEE signal processing letters , v. 16, (10), 2009, OCT, p. 861-864
Summary Traditionally, any 2-D transform (such as 2-D DCT) is implemented through two separable 1-D transforms along the vertical and horizontal dimensions. Such a framework is however not most suitable for a 2-D directional source in which the dominant directional information is neither horizontal nor vertical. In this letter, we attempt to determine the R-D performance upper bound for block-based transform coding schemes applied on such 2-D directional sources. It is not a surprise that the Karhunen-Loeve transform (KLT) plays a critical role here. Specifically, we show that a nonseparable KLT can be determined directly from the given 2-D directional source model to yield the R-D performance upper bound. We also show that there exists a significant gap between this upper bound and the R-D performance that can be achieved by using the traditional 2-D DCT.
Subjects
ISSN 1070-9908
Rights © 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Language English
Format Article
Access View full-text via DOI
View full-text via Web of Science
Find@HKUST
Files in this item:
File Description Size Format
RD.pdf 413636 B Adobe PDF