SHAPE RECOGNITION, PRAIRIE FIRES, CONVEX DEFICIENCIES AND SKELETONS.

Abstract

To every closed subset A of the Euclidean plane is associated its convex deficiency D and its skeletal pair (S,q). Extending a known result (A is convex iff S = phi iff D = phi) one can prove: different sets have the same skeletal pair iff they have the same convex deficiency. Several other results are presented concerning the correspondence A approaching (S,q) and the properties of S and q. The relevance of these notions and theorems for a mathematical model of visual perception is emphasized. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0631279

Entities

People

  • Lorenzo Calabi
  • William E. Hartnett

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Deficiencies
  • Mathematical Models
  • Mental Processes
  • Models
  • Perception
  • Psychological Phenomena And Processes
  • Recognition
  • Skeleton
  • Visual Perception

Readers

  • Graph Algorithms and Convex Optimization.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.