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Optical Engineering

Rational systems with moderate risk aversion with respect to "gambles" on variable-resolution compression
Author(s): Jose Antonio Garcia; Rosa Rodriguez-Sanchez; Joaquin Fernandez-Valdivia; Xose R. Fernandez-Vidal
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Paper Abstract

In an embedded wavelet scheme for progressive transmission, a tree structure naturally defines the spatial relationship on the hierarchical pyramid. Transform coefficients over each tree correspond to a unique local spatial region of the original image, and they can be coded bit-plane by bit-plane through successive-approximation quantization. After receiving the approximate value of some coefficients, the decoder can obtain a reconstructed image. We show a rational system for progressive transmission that, in absence of a priori knowledge about regions of interest, chooses at any truncation time among alternative trees for further transmission in such a way as to avoid certain forms of behavioral inconsistency. We prove that some rational transmission systems might exhibit aversion to risk involving "gambles" on tree- dependent quality of encoding while others favor taking such risks. Based on an acceptable predictor for visual distinctness from digital imagery, we demonstrate that, without any outside knowledge, risk-prone systems as well as those with strong risk aversion appear in capable of attaining the quality of reconstructions that can be achieved with moderate risk-averse behavior.

Paper Details

Date Published: 1 September 2002
PDF: 22 pages
Opt. Eng. 41(9) doi: 10.1117/1.1496789
Published in: Optical Engineering Volume 41, Issue 9
Show Author Affiliations
Jose Antonio Garcia, Univ. de Granada (Spain)
Rosa Rodriguez-Sanchez, Univ. de Granada (Spain)
Joaquin Fernandez-Valdivia, Univ. de Granada (Spain)
Xose R. Fernandez-Vidal, Univ. de Santiago de Compostela (Spain)

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