1 September 2002 Rational systems with moderate risk aversion with respect to "gambles" on variable-resolution compression
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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.
Jose Antonio Garcia, Rosa Rodriguez-Sanchez, Joaquin Fernandez-Valdivia, Xose R. Fernandez-Vidal, "Rational systems with moderate risk aversion with respect to "gambles" on variable-resolution compression," Optical Engineering 41(9), (1 September 2002). https://doi.org/10.1117/1.1496789

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