Estimating Three-Dimensional Motion Parameters of a Rigid Planar Patch.

Abstract

We present a new direct method of estimating the three-dimensional motion parameters of a rigid planar patch from two time-sequential perspective views (image frames). First, a set of 8 pure parameters are defined. These parameters can be determined uniquely from the two given image frames by solving a set of linear equations. Then, the actual motion parameters are determined from these pure parameters by a method which requires the solution of a 6th-order polynomial of one variable only, and there exists a certain efficient algorithm for solving a 6th-order polynomial. Aside from a scaling factor for the translation parameters the number of real solutions never exceeds two. In the special case of three-dimensional translation, the motion parameters can be expressed directly as some simple functions of the 8 pure parameters. Thus only a few arithmetic operations are needed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 12, 1981
Accession Number
ADA124669

Entities

People

  • R. Y. Tsai
  • T. S. Huang

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Contracts
  • Coordinate Systems
  • Decomposition
  • Directional
  • Equations
  • Equations Of Motion
  • Geometric Forms
  • Geometry
  • Identities
  • Lie Groups
  • Orientation (Direction)
  • Three Dimensional
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Computer Vision.
  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.