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Reversible integer DCT algorithms  (Make Corrections)  
Gerlind Plonka, Manfred Tasche



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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" }
Citations (may not include all citations):
485   The JPEG still picture compression standard (context) - Wallace - 1991
186   Factoring wavelet transforms into lifting steps - Daubechies, Sweldens - 1998
137   Discrete Cosine Transform: Algorithms (context) - Rao, Yip - 1990
136   Wavelet transforms that map integers to integers - Calderbank, Daubechies et al. - 1998
86   Images and Video Compression Standards: Algorithms and Archi.. (context) - Bhaskaran, Konstantinides - 1997
24   Fast algorithms for the discrete cosine transform (context) - Feig, Winograd - 1992
16   The discrete cosine transform - Strang - 1999
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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