Paper Info
Title
Adjunctions in Pyramids and Curve Evolution
Abstract
We have been witnessing lately a convergence among mathematical morphology and other nonlinear fields, such as curve evolution, PDE-based geometrical image processing, and scale-spaces. An obvious benefit of such a convergence is a cross-fertilization of concepts and techniques among these fields. The concept of adjunction however, so fundamental in mathematical morphology, is not yet shared by other disciplines. The aim of this paper is to show that other areas in image processing can possibly benefit from the use of adjunctions. In particular, it will be explained that adjunctions based on a curve evolution scheme can provide idempotent shape filters. This idea is illustrated in this paper by means of a simple affine-invariant polygonal flow.
Year
DOI
Venue
2001
10.1007/3-540-47778-0_13
Scale-Space
Keywords
Field
DocType
idempotent shape filter,obvious benefit,curve evolution,image processing,curve evolution scheme,pde-based geometrical image processing,mathematical morphology,simple affine-invariant polygonal flow,nonlinear field,scale space
Convergence (routing),Discrete mathematics,Polygon,Nonlinear system,Algebra,Computer science,Mathematical morphology,Image processing,Idempotence,Adjunction,Partially ordered set,Calculus
Conference
Volume
ISSN
ISBN
2106
0302-9743
3-540-42317-6
Citations 
PageRank 
References 
0
0.34
10
Authors
2
Name
Order
Citations
PageRank
Renato Keshet133827.26
Henk J. A. M. Heijmans265966.31