Analysis of Structure and Motion from Optical Flow. Part 1. Orthographic Projection. Revision

Abstract

The 3D structure and motion of an object is determined from its optical flow under orthrographic projection. First, the image domain is divided into planar or almost planar regions by checking the flow. For each region, parameters of the flow are determined. Transformation rules under coordinate changes and hydrodynamic analogies are also discussed. the 3D structure and motion are determined in explicit forms in terms of irreducible parameters deduced from group representation theory. The solution is not unique, containing an indeterminate scale factor and comprising true and spurious solutions. Their geometrical interpretations are also studied. The spurious solution disappears if two or more regions of the object are observed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA171612

Entities

People

  • Ken-ichi Kanatani

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Classification
  • Complex Numbers
  • Computations
  • Computer Graphics
  • Computer Vision
  • Coordinate Systems
  • Equations
  • Equations Of Motion
  • Graphics
  • Image Processing
  • Invariance
  • Mechanics
  • Numbers
  • Shear Flow
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.
  • Fluid Dynamics.