Axial Representations of Shape.

Abstract

Classes of 'ribbonlike' planar shapes can be defined by specifying an arc, called the spine or axis, and a geometric figure such as a disk or line segment, called the generator, that 'sweeps out' the shape by moving along the spine, changing size as it moves. Shape descriptions of this type have been considered by Blum, Brooks, Brady, and others. This paper considers such descriptions from the standpoints of both generation and recovery (i.e., given a shape generated in this way, to determine the axis and generation rule that gave rise to it), and discusses their relative advantages and disadvantages. Keywords include: Shape; generalized ribbons.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA150387

Entities

People

  • Azriel Rosenfeld

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Demographic Cohorts
  • Differential Equations
  • Equations
  • Generators
  • Geometric Forms
  • Governments
  • Lines (Geometry)
  • Maryland
  • National Governments
  • Notation
  • Recovery
  • Scientific Research
  • Three Dimensional
  • Two Dimensional
  • United States Government
  • Universities

Readers

  • Electrical Engineering
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.