Title
Salient and reentrant points of discrete sets
Abstract
The border-salient and reentrant points of a discrete set are special points of the border of the set. When they are given with multiplicity they completely characterize the set, and without multiplicity they characterize the set if all its 8-components are 4-connected. The inner-salient and reentrant are defined similarly to the border ones, but we show that, in general, they do not characterize the set, even if this set is 4-simply connected. We also show that the genus of a set can be easily computed from the number of salient and reentrant points.
Year
DOI
Venue
2005
10.1016/j.dam.2005.02.024
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
salient points,discrete sets,discrete set,reentrant points,reentrant point,corners,special point
Set function,Discrete mathematics,Mathematical optimization,Combinatorics,Computer science,Multiplicity (mathematics),Reentrancy,Salient
Journal
Volume
Issue
ISSN
151
1-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
16
1.26
3
Authors
2
Name
Order
Citations
PageRank
Alain Daurat111214.08
Maurice Nivat21261277.74