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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.
ISSN 1070-9908
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Language English
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