Camera Rotation Invariance of Image Characteristics

Abstract

The image transformation due to camera rotation relative to a stationary scene is analyzed, and the associated transformation rules of 'features' given by weighted averaging of the image are derived by considering infinitesimal generators on the basis of group representation theory. Three dimensional vectors and tensors are reduced to two dimensional invariants on the image plane from the viewpoint of projective geometry. Three dimensional invariants and camera rotation reconstruction are also discussed. The result is applied to the shape recognition problem when camera rotation is involved.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1986
Accession Number
ADA171615

Entities

People

  • Ken-ichi Kanatani

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Center Of Gravity
  • Classification
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Fluid Dynamics
  • Generators
  • Geometry
  • Projective Geometry
  • Recognition
  • Security
  • Stationary
  • Three Dimensional
  • Two Dimensional

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Graph Algorithms and Convex Optimization.
  • Radar Systems Engineering.