Lapped orthogonal transform designed for error resilient image coding

This paper describes a new design method for lapped orthogonal transforms (LOTs) that can provide a desired trade-off between coding efficiency and robustness to transmission errors. Traditionally, the LOT bases were designed to maximize the coding efficiency solely[1, 2]. When certain coefficients are lost due to impairments in the transmission channel, these bases often provide unsatisfactory reconstruction quality. In our previous work [3], we have developed a new reconstruction method, the maximally smooth recovery (MSR) method, which can achieve better image reconstruction quality from incomplete LOT coefficients than simple interpolation methods. In this paper, we present a new LOT basis design method, which maximizes a weighted average of a coding gain and a reconstruction gain, with the latter being defined according to the MSR method. We show that these new bases can achieve significantly better redundancy-rate-distortion (RRD) performance than the set of basis designed by Hemami [4].