Arcs and Curves in Digital Pictures.

Abstract

Characterizations of digital simple arcs and simple closed curves are given. In particular, it is shown that the following are equivalent for sets S having more than 4 points: S is a simple curve; S is connected and each point of S has exactly two neighbors in S; S is connected, has exactly one hole, and has no deletable points. It follows that if a shrinking algorithm is applied to a connected S that has exactly one hole, it shrinks to a simple curve. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0740145

Entities

People

  • Azriel Rosenfeld

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Algorithms

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.