An Iterative Procedure for the Polygonal Approximation of Plane Curves.

Abstract

The approximation of arbitrary two-dimensional curves by polygons is an important technique in image processing. For many applications, the apparent ideal procedure is to represent lines and boundaries by means of polygyons with minimum number of vertices and satisfying a given fit criterion. In this paper, an approximation algorithm is presented which uses an iterative method to produce polygons with a small - but not minimum - number of vertices that lie on the given curve. The maximum distance of the curve from the approximating polygon is chosen as the fit criterion. The results obtained justify the abandonment of the minimum-vertices criterion which is computationally much more expensive. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0747039

Entities

People

  • Urs Ramer

Organizations

  • New York University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Data Processing
  • Image Processing
  • Information Processing
  • Mathematics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design