Algebraic Functions for Recognition

Abstract

In the general case, a trilinear relationship between three perspective views is shown to exist. The trilinearity result is shown to be of much practical use in visual recognition by alignment --- yielding a direct method that cuts through the computations of camera transformation, scene structure and epipolar geometry. The proof of the central result may be of further interest as it demonstrates certain regularities across homographies of the plane and introduces new view invariants. Experiments on simulated and real image data were conducted, including a comparative analysis with epipolar intersection and the linear combination methods, with results indicating a greater degree of robustness in practice and a higher level of performance in re-projection tasks.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA276803

Entities

People

  • Amnon Shashua

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algebraic Functions
  • Artificial Intelligence
  • Classification
  • Coefficients
  • Cognitive Science
  • Contracts
  • Displacement
  • Errors
  • Geometry
  • Information Systems
  • Line Of Sight
  • Massachusetts
  • Military Research
  • Nato
  • Projective Geometry
  • Recognition
  • Security

Readers

  • Computer Vision.
  • Graph Algorithms and Convex Optimization.