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Lossless quantization of Hadamard transform coefficients

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Abstract
This paper shows that an n X 1 integer vector can be exactly recovered from its Hadamard transform coefficients, even when 0.5n log(2)(n) of the (less significant) bits of these coefficients are removed. The paper introduces a fast "lossless" dequantization algorithm for this purpose. To investigate the usefulness of the procedure in data compression, the paper investigates an embedded block image coding technique called the "LHAD" based on the algorithm. The results show that lossless compression ratios close to the state of the art can be achieved, but that techniques such as CALIC and S+P still perform better.
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COMPRESSION

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Citation

Please use this url to cite or link to this publication:

Chicago
Philips, Wilfried, Koen Denecker, Peter De Neve, and Steven Van Assche. 2000. “Lossless Quantization of Hadamard Transform Coefficients.” Ieee Transactions on Image Processing 9 (11): 1995–1999.
APA
Philips, Wilfried, Denecker, K., De Neve, P., & Van Assche, S. (2000). Lossless quantization of Hadamard transform coefficients. IEEE TRANSACTIONS ON IMAGE PROCESSING, 9(11), 1995–1999.
Vancouver
1.
Philips W, Denecker K, De Neve P, Van Assche S. Lossless quantization of Hadamard transform coefficients. IEEE TRANSACTIONS ON IMAGE PROCESSING. 2000;9(11):1995–9.
MLA
Philips, Wilfried, Koen Denecker, Peter De Neve, et al. “Lossless Quantization of Hadamard Transform Coefficients.” IEEE TRANSACTIONS ON IMAGE PROCESSING 9.11 (2000): 1995–1999. Print.
@article{129778,
  abstract     = {This paper shows that an n X 1 integer vector can be exactly recovered from its Hadamard transform coefficients, even when 0.5n log(2)(n) of the (less significant) bits of these coefficients are removed. The paper introduces a fast {\textacutedbl}lossless{\textacutedbl} dequantization algorithm for this purpose. To investigate the usefulness of the procedure in data compression, the paper investigates an embedded block image coding technique called the {\textacutedbl}LHAD{\textacutedbl} based on the algorithm. The results show that lossless compression ratios close to the state of the art can be achieved, but that techniques such as CALIC and S+P still perform better.},
  author       = {Philips, Wilfried and Denecker, Koen and De Neve, Peter and Van Assche, Steven},
  issn         = {1057-7149},
  journal      = {IEEE TRANSACTIONS ON IMAGE PROCESSING},
  keyword      = {COMPRESSION},
  language     = {eng},
  number       = {11},
  pages        = {1995--1999},
  title        = {Lossless quantization of Hadamard transform coefficients},
  url          = {http://dx.doi.org/10.1109/83.877223},
  volume       = {9},
  year         = {2000},
}

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