Affine curvature scale space with affine length parametrisation
type: Item
instance of: scholarly article
title: Affine curvature scale space with affine length parametrisation
zbMATH Open document ID: 0991.68659
DOI: 10.1007/PL00010984
author: R. Smith
published in: PAA. Pattern Analysis and Applications
publication date: 2002-07-25T00:00:00Z
review text: The maxima of Curvature Scale Space (CSS) image have been used to represent 2D shapes under affine transforms. The CSS image is expected to be in the MPEG-7 package of standards. Since the CSS image employs the arc length parametrisation which is not affine invariant, we expect some deviations in the maxima of the CSS image under general affine transforms. Affine length and affine curvature have already been introduced and used as alternatives to arc length and conventional curvature in affine transformed environments. The utility of using these parameters to enrich the CSS representation is addressed in this paper. We use arc length to parametrise the curve prior to computing its CSS image. The parametrisation has been proven to be invariant under affine transformation and has been used in many affine invariant shape recognition methods. Since the organisation of the CSS image is based on curvature zero crossings of the curve, in this paper, we also investigate the advantages and shortcomings of using affine curvature in computation of the CSS image. The enriched CSS representations are then used to find similar shapes from a very large prototype database, and also a small classified database, both consisting of original as well as affine transformed shapes. An improvement is observed over the conventional CSS image.
Mathematics Subject Classification ID: 68U99
Mathematics Subject Classification ID: 68T10
zbMATH DE Number: 1771519
zbMATH Keywords: Affine curvature
zbMATH Keywords: Affine length
zbMATH Keywords: Affine transformation
zbMATH Keywords: Curvature scale space
zbMATH Keywords: Image databases
zbMATH Keywords: Shape similarity retrieval
MaRDI profile type: Publication
full work available at URL: pl00010984
OpenAlex ID: W2079039086
description: scientific article; zbMATH DE number 1771519