Relative Orientation
Geometric Information Criterion for Model Selection
International Journal of Computer Vision
Critical Motions for Auto-Calibration When Some Intrinsic Parameters Can Vary
Journal of Mathematical Imaging and Vision
Journal of Intelligent and Robotic Systems
Self-recalibration of a structured light system via plane-based homography
Pattern Recognition
Visual motion ambiguities of a plane in 2-D FS sonar motion sequences
Computer Vision and Image Understanding
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The following problem is investigated: given the position coordinates in two images of all points on an object obtained from two different camera positions, under what conditions can there be more than one interpretation for the shape of the object and the transformation between the coordinate systems at the two camera positions? It is shown that only certain hyperboloids of one sheet and their degeneracies, such as hyperbolic paraboloids, circular cylinders, and intersecting planes, that are viewed from a point on their surface can give rise to an ambiguity. In the case of hyperboloids of one sheet and hyperbolic paraboloids, there can be three possible solutions. In the case of circular cylinders and intersecting planes, there are at most two solutions. The author gives the relationship among the multiple interpretations and determines them all in closed form in terms of the true solution.