STOC '86 Proceedings of the eighteenth annual ACM symposium on Theory of computing
Generating octree models of 3D objects from their silhouettes in a sequence of images
Computer Vision, Graphics, and Image Processing
Reconstruction of polygons from projections
Information Processing Letters
Construction of the Octree Approximating a Three-Dimensional Object by Using Multiple Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generating Octrees from Object Silhouettes in Orthographic Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Model Construction and Shape Recognition from Occluding Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Surface shape from the deformation of apparent contours
International Journal of Computer Vision
How Far 3D Shapes Can Be Understood from 2D Silhouettes
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Surface Reconstruction Using Occluding Contours
International Journal of Computer Vision
How many 2D silhouettes does it take to reconstruct a 3D object?
Computer Vision and Image Understanding
Motion Estimation in Image Sequences Using the Deformation of Apparent Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Epipolar Geometry from Profiles under Circular Motion
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
Silhouette Coherence for Camera Calibration under Circular Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image and Vision Computing
Shape from inconsistent silhouette
Computer Vision and Image Understanding
Reconstructing convex polygons and polyhedra from edge and face counts in orthogonal projections
FSTTCS'07 Proceedings of the 27th international conference on Foundations of software technology and theoretical computer science
Computing nice projections of convex polyhedra
WALCOM'08 Proceedings of the 2nd international conference on Algorithms and computation
Efficient view point selection for silhouettes of convex polyhedra
Computational Geometry: Theory and Applications
Shape-from-Silhouette with two mirrors and an uncalibrated camera
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
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3D shapes can be reconstructed from 2D silhouettes by back-projecting them from the corresponding viewpoints and intersecting the resulting solid cones. However, in many practical cases as observing an aircraft or an asteroid, the positions of the viewpoints with respect to the object are not known. In these cases, the relative position of the solid cones is not known and the intersection cannot be performed. The purpose of this paper is introducing and stating in a theoretical framework the problem of understanding 3D shapes from silhouettes when the relative positions of the viewpoints are unknown. The results presented provide a first insight into the problem. In particular, the case of orthographic viewing directions parallel to the same plane is thoroughly discussed, and sets of inequalities are presented which allow determining objects compatible with the silhouettes.