Direct Computation of 3D Shape Invariants and the Focus of Expansion

Abstract

Structure from motion often refers to the computation of 3D structure from a matched sequence of images. However, a (relative) depth map of a surface may not be a good representation for storage and recognition; a more concise representation seems necessary. The sign of the Gaussian curvature of a surface is one candidate to be a part of a useful representation of the surface. I will show that in order to compute the sign of the Gaussian curvature it is not necessary first to go through the computationally expensive and error sensitive process of recovering the exact function of the surface and the motion parameters. Keywords: Optical flow; Qualitative vision, Stereo; Gaussian curvature; Focus of expansion.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1989
Accession Number
ADA212386

Entities

People

  • Daphna Weinshall

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Cognitive Science
  • Collision Avoidance
  • Computations
  • Computer Vision
  • Coordinate Systems
  • Curvature
  • Flow Fields
  • Geometric Forms
  • Geometry
  • Information Processing
  • Line Of Sight
  • Military Research
  • Navigation
  • Recognition
  • Three Dimensional

Readers

  • Fluid Dynamics.
  • Statistical inference.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.