1995
DOI: 10.1109/76.401104
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Efficiency of shape-adaptive 2-D transforms for coding of arbitrarily shaped image segments

Abstract: We introduce a formula to compute an optimum 2-D shape-adaptive Karhunen-Loeve transform (KLT) suitable for coding pels in arbitrarily-shaped image segments. The efficiency of the KLT on a 2-D AR(1) process is used to benchmark two other shape-adaptive transforms described in literature. It is shown that the optimum KLT significantly outperforms the well known shape-adaptive DCT method introduced by Gilge et al. (1989) for coding Segments of arbitrary shape in intraframe coding mode. A statistical transform ga… Show more

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Cited by 47 publications
(28 citation statements)
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“…However, for video-coding applications Gilge's "shape-adapted" DCT 11, 12 based on orthonormalization with respect to shape is known to achieve superior results than the approach by Sikora et al It is considered 30 as a kind of upper bound on the decorrelation ability of the faster method. Thus, if computational complexity is not of primary concern, Gilge's method may be utilized as an alternative method to achieve further improvement in denoising.…”
Section: Gilge's "Shape-adapted" Dct By Orthogonalizationmentioning
confidence: 99%
“…However, for video-coding applications Gilge's "shape-adapted" DCT 11, 12 based on orthonormalization with respect to shape is known to achieve superior results than the approach by Sikora et al It is considered 30 as a kind of upper bound on the decorrelation ability of the faster method. Thus, if computational complexity is not of primary concern, Gilge's method may be utilized as an alternative method to achieve further improvement in denoising.…”
Section: Gilge's "Shape-adapted" Dct By Orthogonalizationmentioning
confidence: 99%
“…For simplicity, we assume 2D separability and stationarity as in references [6], [9] and [10]. A more realistic 2D non separable, noncausal, and non-stationary model has been considered already for rectangular-shaped fields [11]- [ 13], but it has not been done yet for arbitrarily-shaped fields.…”
Section: The Optimum Sa Transformmentioning
confidence: 99%
“…Note that the Decision algorithm has selected a quite different strategy for the two bit rates: for low bit rates almost 20% of the bit stream is devoted to the partition information, whereas less than 10% is used for this type of information for higher bit rates. Finally, let us mention that by comparison with the algorithm presented in [32] using a much simpler bit allocation rule, the current algorithm provides between 2 and 3 dB of PSNR for very low bit rates (30)(31)(32)(33)(34)(35)(36)(37)(38)(39)(40).…”
Section: A Coding Efficiencymentioning
confidence: 99%
“…In particular, three different texture coding techniques have been used: polynomial approximation onto orthogonal bases [8], shape-adaptive discrete cosine transform (DCT) [35], [10], and region-based wavelets. For the first technique, cosine basis functions have been chosen as orthogonal bases given that they have proved to often outperform polynomial functions.…”
Section: ) Texture Motion Compensationmentioning
confidence: 99%