Ambiguous Configurations for 3-View Projective Reconstruction

The critical configurations for projective reconstruction from three views are discussed. A set of cameras and points is said to be critical if the projected image points are insufficient to determine the placement of the points and cameras uniquely, up to projective transformation. For two views, the classification of critical configurations is well known the configuration is critical if and only if the points and camera centres all lie on a ruled quadric. For three views the critical configurations have not been identified previously. In this paper it is shown that for any placement of three given cameras there always exists a critical set consisting of a fourth-degree curve

• Type: Conference
• Year: 2000
• Where: ECCV
• Authors: Richard I. Hartley
• Keywords: Cameras, Computer Vision, Critical Configurations, ECCV 2000, Image Points