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Abstract: Integer DCTs have important applications in lossless coding. An integer DCT of radix{2 length n is a nonlinear, left-invertible mapping which acts on Z and approximates the classical discrete cosine transform (DCT) of length n. In image compression, the DCT of type II (DCT{II) is of special interest. In this paper we present two new approaches to construct reversible integer DCT{II. Our methods are based on a factorization of the cosine matrix of type II into a product of sparse, orthogonal... (Update)
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BibTeX entry: (Update)
@misc{ plonka-reversible,
author = "Gerlind Plonka and Manfred Tasche",
title = "Reversible integer DCT algorithms",
url = "citeseer.ist.psu.edu/615313.html" }
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136 Wavelet transforms that map integers to integers - Calderbank, Daubechies et al. - 1998
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24 Fast algorithms for the discrete cosine transform (context) - Feig, Winograd - 1992
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14 An overview of JPEG - Marcellin, Gormish et al.
8 DCT algorithms with 11 multiplications (context) - Loe, Lightenberg et al. - 1989
8 The BinDCT: Fast multiplierless approximation of the DCT - Tran - 2000
4 radix algorithms for discrete trigonometric transforms (context) - Plonka, Tasche - 2002
3 Fast and numerically stable trigonometric transforms (context) - Schreiber - 1999
3 Integer sinusoidal transforms for image processing (context) - Cham, Yip - 1991
3 Integer DCTs and fast algorithms (context) - Zeng, Cheng et al. - 2001
3 Fast multiplierless approximations of the DCT: the lifting s.. (context) - Liang, Tran - 2001
1 Lossles DCT combined lossylossles image coding (context) - DCT, lossy et al. - 1998
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