A theory of multiscale, curvature-based shape representation for planar curves

1 August 1992

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 14 (8) , 789-805
https://doi.org/10.1109/34.149591

Abstract

A shape representation technique suitable for tasks that call for recognition of a noisy curve of arbitrary shape at an arbitrary scale or orientation is presented. The method rests on the describing a curve at varying levels of detail using features that are invariant with respect to transformations that do not change the shape of the curve. Three different ways of computing the representation are described. They result in three different representations: the curvature scale space image, the renormalized curvature scale space image, and the resampled curvature scale space image. The process of describing a curve at increasing levels of abstraction is referred to as the evolution or arc length evolution of that curve. Several evolution and arc length evolution properties of planar curves are discussed.

Keywords

This publication has 26 references indexed in Scilit:

Scale-space filtering: A new approach to multi-scale description
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2005
Adding scale to the primal sketch
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2003
Organization of smooth image curves at multiple scales
International Journal of Computer Vision, 1989
Optimal estimation of contour properties by cross-validated regularization
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1989
Deblurring Gaussian blur
Computer Vision, Graphics, and Image Processing, 1987
Filtering Closed Curves
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1986
Dynamic shape
Biological Cybernetics, 1986
Scaling Theorems for Zero Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986
Polygonal Approximations by Newton's Method
IEEE Transactions on Computers, 1977
Optimal Piecewise Polynomial L²Approximation of Functions of One and Two Variables
IEEE Transactions on Computers, 1975