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Fast orthogonalization algorithms for segmented image coding

SIGNAL proCESSING 1997年第3期61卷 265-274页

作者： Philips, W Department of Electronics and Information Systems University of Gent St-Pietersnieuwstraat 41 B9000 Gent Belgium

The paper first briefly discusses the advantages and disadvantages of using orthonormal (as opposed to non-orthogonal) bases in segmented image coding, and shows that the optimal choice is application-dependent. Next, it introduces fast algorithms for computing orthonormal base functions on an arbitrarily-shaped region. The algorithms are extensions of the 'natural' polynomial recursive orthogonalization (pro) algorithm, introduced earlier by the author and differ from it in that they allow new orthogonalization orders and new types of base functions (cosines and warped polynomials in addition to ordinary polynomials). The algorithms are typically 1.5 to 3 times faster than the corresponding Gram-Schmidt (GS) methods. Three of the new algorithms, called RECT, TOTDIAG and XY are investigated in detail. The RECT and TOTDIAG algorithms are typically 15% to 30% slower than 'natural' pro, but still 1.5 to 2.5 times faster than GS. Also, their computational advantage over GS increases;vith the number of computed base functions. A preliminary experiment shows that the combined use of the RECT or TOTDIAG base with the natural base in different areas of the image may lead to a better approximation performance, albeit at the expense of extra computations. (C) 1997 Elsevier Science B.V.

关键词： segmented image coding orthogonalization algorithm pro algorithm

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