Share Email Print

Proceedings Paper

Estimating The Three-Dimensional Motion Of A Rigid Planar Patch In The Hough Parameter Space
Author(s): Gonzalo R. Arce; Wayne E. Wonchoba; Erick R. Malaret
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

We develop new methods for estimating the three-dimensional general motion (rotation and translation) parameters of a rigid planar patch from two-dimensional perspective views at two time instances. The proposed method requires line correspondences between images in the Hough parameter space. With the Hough transform, the extraction of line features from scenes is simple and since the Hough transform is not severely affected by random noise, the dimensionality of the system to be solved should be small since least-squares solutions may not be necessary. We find that in the case of pure translation, three line correspondences are necessary to yield unique, linear solutions. A relative depth map of the object space can also be obtained. For the case of pure rotation, three line correspondences are also necessary to yield unique, linear solutions, and the object lines do not have to lie in a planar patch. It is not possible, however, to obtain a relative depth map of the object space. For the general case, four correspondences are needed to solve for the motion parameters, and the solution is not linear. Moreover, a relative depth map of the object space can be obtained.

Paper Details

Date Published: 19 February 1988
PDF: 8 pages
Proc. SPIE 0848, Intelligent Robots and Computer Vision VI, (19 February 1988); doi: 10.1117/12.942779
Show Author Affiliations
Gonzalo R. Arce, University of Delaware (United States)
Wayne E. Wonchoba, University of Delaware (United States)
Erick R. Malaret, BDM Corporation (United States)

Published in SPIE Proceedings Vol. 0848:
Intelligent Robots and Computer Vision VI
David P. Casasent; Ernest L. Hall, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?