In this work, we propose a unified formulation for correlation techniques in a theoretical framework based on group theory. Indeed, correlation on groups can be defined in terms of transformation groups, feature spaces and invariant measures. As an important example, we describe the correlation functions for the affine group and some of its subgroups. Algorithms are illustrated on underwater images to detect and identify specific objects (such as trawl traces) independently of their pose on the sea bottom.

Date Published: 24 September 2001
PDF: 5 pages
Proc. SPIE 4554, Object Detection, Classification, and Tracking Technologies, (24 September 2001); doi: 10.1117/12.441636

Published in SPIE Proceedings Vol. 4554:
Object Detection, Classification, and Tracking Technologies
Jun Shen; Sharatchandra Pankanti; Runsheng Wang, Editor(s)