document: Rational systems exhibit moderate risk aversion with respect to `` gambles '' on variable-resolution compression 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
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extractive_keyphrases: progressive transmission rational system moderate risk aversion embedded wavelet scheme tree structure transform coefficients local spatial region reconstructed image truncation time gambles acceptable predictor visual distinctness digital imagery
abstractive_keyphrases: variable-resolution compression hierarchical pyramid spatial relationship successive-approximation quantization behavioral inconsistency avoidance image encoding embedded coding rate control optimization decision problem progressive transmission utility functions information theoretic measure