STOC '86 Proceedings of the eighteenth annual ACM symposium on Theory of computing
Reconstruction of polygons from projections
Information Processing Letters
Reconstructing a convex polygon from binary perspective projections
Pattern Recognition
Using Extremal Boundaries for 3-D Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Geometric computation for machine vision
Geometric computation for machine vision
How Far 3D Shapes Can Be Understood from 2D Silhouettes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Acquiring 3-D Models from Sequences of Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Visual Hull Concept for Silhouette-Based Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Performance Analysis of Shape Recovery by Random Sampling and Voting
Proceedings of the Theoretical Foundations of Computer Vision, TFCV on Performance Characterization in Computer Vision
Shape from silhouettes in discrete space
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Shape reconstruction by line voting in discrete space
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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This paper clarifies a sufficient condition for the reconstruction of an object from its shadows. The objects considered are finite closed convex regions in three-dimensional Euclidean space. First we show a negative result that a series of shadows measured using a camera moving along a circle on a plane is insufficient for the full reconstruction of an object even if the object is convex. Then, we show a positive result that a series of pairs of shadows measured using a general stereo system with some geometrical assumptions is sufficient for full reconstruction of a convex object.