Projective residual vector quantization and mapped residual pooling

Abstract

This paper points out two potential problems with residual vector quantization (RVQ): tree entanglement and non-projectiveness of the quantizer. The use of a boundary normalization mapping is proposed to pool all quantization residuals at a stage into identically-shaped regions, reducing or eliminating entanglement. Also, a reconstruction codebook is proposed to eliminate the non-projectiveness is proposed. Results are presented on both random and image data.