

This method is then used within a progressive transmission scheme to produce a new compression method called rational embedded wavelet image coding (REWIC). We show that the rational choice for transmission at truncation time t is to select bit streams which have the maximum expected increase in utility per coding bit, where ``rational'' must be understood in the sense that it cannot lead the transmission system into forms of behavioral inconsistency.

A set of postulates is provided for specifying the ways in which preferences need to be made precise and fit together if illogical forms of behavior are to be avoided.

To circumvent the lack of knowledge of what distortion measure is more suitable for optimization of the trade-off between image fidelity and coding rate, this coder shall introduce a novel mathematical methodology for rate control by organizing the progressive transmission in accordance with coherence constraints for avoiding forms of behavioral inconsistency. REWIC is a software-based implementation of a a rational system for progressive transmission which, in absence of a priori knowledge about regions of interest, choose at any truncation time among alternative trees for further transmission.
