Describing Surfaces.

Abstract

This paper continues our work on visual representations of three-dimensional surfaces. The theoretical component is a study of classes of surface curves as a source of constraint on the surface on which they lie, and as a basis for describing it. We analyze bounding contours, surface intersections, lines of curvature, and asymptotes. Our experimental work investigates whether the information suggested by our theoretical study can be computed reliably and efficiently. We demonstrate algorithms that compute lines of curvature of a (Gaussian smoothed) surface; determine planar patches and umbilic regions; extract axes of surfaces of revolution and tube surfaces. We report preliminary results on adapting the curvature primal sketch algorithms of Asada and Brady (1984) to detect and describe surface intersections.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA158940

Entities

People

  • A. Yuille
  • Haruka Asada
  • J. Ponce
  • M. Brady

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Biomedical
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Computer Vision
  • Computer-Aided Design
  • Coordinate Systems
  • Curvature
  • Differential Geometry
  • Geodesics
  • Geometric Forms
  • Geometry
  • Image Processing
  • Lines (Geometry)
  • Range Finding
  • Robotics
  • Shape
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Computer science

Readers

  • Computer Vision.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Graph Algorithms and Convex Optimization.