We describe an effective approach to object or feature detection in po
int patterns via noise modeling. This is based on use of a redundant o
r non-pyramidal wavelet transform. Noise modeling is based on a Poisso
n process. We illustrate this new method with a range of examples. We
use the close relationship between image (pixelated) and point represe
ntations to achieve the result of a clustering method with constant-ti
me computational cost. (C) 1998 Pattern Recognition Society. Published
by Elsevier Science Ltd. All rights reserved.