TY - CONF T1 - Global rigidity constraints in image displacement fields T2 - Proceedings of Fifth International Conference on Computer Vision, 1995 Y1 - 1995 A1 - Fermüller, Cornelia A1 - Aloimonos, J. KW - 3D motion parameters KW - algorithms KW - Automation KW - Computer science KW - Computer vision KW - conic sections KW - curves KW - equal vectors KW - Fluid flow measurement KW - global geometric structure KW - global rigidity constraints KW - image displacement fields KW - Image motion analysis KW - Image segmentation KW - Image sequences KW - imaging surface KW - Laboratories KW - Layout KW - Motion estimation KW - Motion measurement KW - motion vectors KW - multiple views KW - normal flow fields KW - optical flow fields KW - regions KW - rigid motion KW - stereo disparity fields KW - Stereo vision KW - vectors KW - visual information recovery AB - 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 JA - Proceedings of Fifth International Conference on Computer Vision, 1995 PB - IEEE SN - 0-8186-7042-8 M3 - 10.1109/ICCV.1995.466779 ER -