Morphological residual representations of signals

IEEE Trans Image Process. 1996;5(11):1569-72. doi: 10.1109/83.541426.

Abstract

A general approach for residual representation of one-dimensional (1-D) and two-dimensional (2-D) signals is defined. Signals are reconstructed as a sum of components that are recursively determined by using a constructive transform. Several morphological constructive transforms are proposed and their corresponding representations are discussed. The use of residual representations in signal and image compression is investigated with promising results.