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Visual Hull

The visual hull is a geometric entity that allows understanding capabilities and limits of the techniques for comparing or reconstructing non-convex 3D shapes using silhouettes or shadows. Broadly speaking, the visual hull VH(O,VR) of an object O relative to a viewing region VR of R3 is the largest object that produces the same silhouettes (or shadows) as O observed from viewpoints (lighted from point light sources) belonging to VR. The visual hull is also the closest approximation of O that can be obtained by volume intersection from silhouettes (or shadows) obtained with viewpoints (or point light sources) belonging to VR. All the visual hulls relative to viewing regions which: 1) completely enclose O; 2) do not share any point with the convex hull of O; are equal. This is the external visual hull of O, or simply the visual hull VH(O). If the viewing region is bounded by the object O itself, we have the internal visual hull IVH(O). The external visual hull is relevant to most practical situations.

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