Multiple interpretations of a pair of images of a surface

作者：Hugh Christopher Longuet-Higgins · 发表于：Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 年份：1988 · DOI：10.1098/rspa.1988.0071 · 被引用次数：52 · 研究领域：Advanced Vision and Imaging、Computer Graphics and Visualization Techniques、Optical measurement and interference techniques

Abstract It is known that if two optical images of a visually textured surface, projected from finitely separated viewpoints, allow more than one 3D interpretation, then the surface must be part of a quadric passing through the two viewpoints. It is here shown that this quadric is either a plane or a ruled surface of a type first considered by Maybank in a study of ambiguous optic flow fields; and that in the latter case, three is the maximum number of distinct interpretations that the two images can sustain.