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Abstract: An extension of one of the fastest existing algorithms for the computation of the 2D discrete cosine transform is given. The algorithm can be implemented in-place requiring N 2 less memory locations and 2N 2 less data transfers for the computation of NxN DCT points compared to existing 2D FCT algorithms. Based on the proposed algorithm, a fast pruning algorithm is derived for computing the N 0 xN 0 lowest frequency components of a length NxN discrete cosine transform, with both N and N 0 being... (Update)
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.... that the scaling factor is absorbed into X(k 1 ,k 2 ) It is also assumed that N is a power of 2 (N=2 m ) Using the mapping [3,4] x ( n1, n2) x(2n1,2n2) n1 0, N 2) 1; n2 0, N 2) 1 x(2N 2n1 1, 2n2) n1 N 2 , N 1; n2 0, N 2) 1 x(2n1,2N...
.... (SR DIS) approaches are described in [5] The direct 2D FCT used is an in place version of the 2D FCT given in [2] it is described in [3]. Furthermore, in [3] a vector radix pruning method is described which allows immediate computation of the lowest N 0 xN 0 out of NxN...
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2: A new twodimensional fast cosine transform algorithm (context) - Chan, Ho - 1991
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BibTeX entry: (Update)
C.A. Christopoulos, J. Bormans, A.N. Skodras and J. Cornelis (1994): Efficient computation of the twodimensional fast cosine transform", Proc. of SPIE Hybrid Image and Signal Processing IV Conference, Orlando, Florida, April 1994. http://citeseer.ist.psu.edu/christopoulos94efficient.html More
@inproceedings{ christopoulos94efficient,
author = "Charilaos A. Christopoulos and Jan G. Bormans and Athanasios N. Skodras and Jan P. Cornelis",
title = "Efficient computation of the two-dimensional fast cosine transform",
booktitle = "Hybrid Image and Signal Processing {IV}",
volume = "2238",
address = "Orlando, FL, USA",
editor = "David P. Casasent and Andrew G. Tescher",
pages = "229--237",
year = "1994",
url = "citeseer.ist.psu.edu/christopoulos94efficient.html" }
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44 Discrete cosine transform (context) - Ahmed, Natarajan et al. - 1974
22 A fast recursive algorithm for computing the discrete cosine.. (context) - Hou - 1987
11 A new two-dimensional fast cosine transform algorithm (context) - Chan, Ho - 1991
9 Fast discrete cosine transform pruning (context) - Skodras
6 A two-dimensional fast cosine transform (context) - Haque - 1985
5 Lossy image compression for digital medical imaging systems (context) - Wilhelm, Haynor et al. - 1991
4 Comparative performance evaluation of algorithms for fast co.. - Christopoulos, Skodras et al. - 1994
4 FFT pruning (context) - Markel - 1971
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4 Pruning the fast discrete cosine transform (context) - Wang - 1991
3 Fast bit-reversal algorithms (context) - Elster - 1989
2 Specialized module for full-frame radiological image compres.. (context) - Ho, Huang - 1991
2 Recursive pruning of the 2-D DFT with 3-D signal processing .. (context) - Knudsen, Bruton - 1993
2 the computation of the fast cosine transform (context) - Christopoulos, Skodras - 1993
1 ASIC implementation of complex image processing algorithms u.. (context) - Bormans, Bolsens et al. - 1993
1 International standardization on picture coding (context) - Okubo, Omachi et al. - 1991
1 A fast cosine pruning algorithm (context) - Skodras, Curtis et al. - 1993
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