Forest representation of wavelet transform and feature detection

A forest representation of 2-D wavelet transform is proposed to emphasize a local signal and coefficient propagation across multiscales. A multiresolution analysis involves a forest consisting of an approximate forest and three detail (horizontal, vertical, and diagonal) forests. An approximate tree is a collection of successive approximations at multiscales at a location, and a detail tree is a collection of detail coefficients along an orientation. in fine-to-coarse processing, local neighboring trees merge into a bulky tree recursively and thereby incur targe uncertainty in signal location. The coefficient propagation across multiscales can be used for local signal detection. (C) 2000 Society of Photo-Optical Instrumentation Engineers. [S0091-3286(00)00205-1].