How far 3D shapes can be understood from 2D silhouettes
Laurentini, A.
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Volume 17, Issue 2, Feb 1995 Page(s):188 - 195
Digital Object Identifier 10.1109/34.368170
Summary:Each 2D silhouette of a 3D unknown object O constrains O inside
the volume obtained by back-projecting the silhouette from the
corresponding viewpoint. A set of silhouettes specifies a boundary
volume R obtained by intersecting the volumes due to each silhouette. R
more or less closely approximates O, depending on the viewpoints and the
object itself. This approach to the reconstruction of 3D objects is
usually referred to as volume intersection. This correspondence
addresses the problem of inferring the shape of the unknown object O
from the reconstructed object R. For doing this, the author divides the
points of the surface of R into hard points, which belong to the surface
of any possible object originating R, and soft points, which may or may
not belong to O. The author considers two cases: In the first case R is
the closest approximation of O which can be obtained from its
silhouettes, i.e., its visual hull; in the second case, R is a generic
reconstructed object. In both cases the author supplies necessary and
sufficient conditions for a point to be hard and gives rules for
computing the hard surfaces
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