Global rigidity constraints in image displacement fields
- 19 November 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 245-250
- https://doi.org/10.1109/iccv.1995.466779
Abstract
Image displacement fields-optical flow fields, stereo disparity fields, normal flow fields-due to rigid motion possess a global geometric structure which is independent of the scene in view. Motion vectors of certain lengths and directions are constrained to lie on the imaging surface at particular loci whose location and form depends solely on the 3D motion parameters. If optical flow fields or stereo disparity fields are considered, then equal vectors are shown to lie on conic sections. Similarly, for normal motion fields, equal vectors lie within regions whose boundaries also constitute conics. By studying various properties of these curves and regions and their relationships, a characterization of the structure of rigid motion fields is given. The goal of this paper is to introduce a concept underlying the global structure of image displacement fields. This concept gives rise to various constraints that could form the basis of algorithms for the recovery of visual information from multiple views.Keywords
This publication has 15 references indexed in Scilit:
- Optimal Computing Of Structure From Motion Using Point Correspondences In Two FramesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Regularization of discontinuous flow fieldsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Theory of Reconstruction from Image MotionPublished by Springer Nature ,1993
- Dynamic aspects in active visionCVGIP: Image Understanding, 1992
- Recognition by linear combinations of modelsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Motion field and optical flow: qualitative propertiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1989
- Finding motion parameters from spherical motion fields (or the advantages of having eyes in the back of your head)Biological Cybernetics, 1988
- Computations underlying the measurement of visual motionArtificial Intelligence, 1984
- Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved SurfacesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- Determining optical flowArtificial Intelligence, 1981