Publication
Geometric methods for shape recovery from line drawings of polyhedra
Journal Article (2005)
Journal
Journal of Mathematical Imaging and Vision
Pages
5-18
Volume
22
Number
1
Doc link
http://dx.doi.org/10.1007/s10851-005-4779-4
File
Abstract
Using structural geometric arguments, Whiteley showed that a line drawing is a correct projection of a spherical polyhedron if and only if it has a cross-section compatible with it. We here enlarge the class of drawings to which this test applies, including those of polyhedral disks, possibly with perforations. This extension is helpful, as it makes the test applicable to verify and reconstruct drawings from usual scenes with opaque objects. The presented results rely on geometric constructions, thus offering an alternative approach to line drawing interpretation, complementary to the algebraic-combinatorial treatment given in the classic work by Sugihara.
Categories
computer vision.
Author keywords
shape-from-image, image understanding, line drawing interpretation, scene reconstruction, polyhedral scene
Scientific reference
L. Ros and F. Thomas. Geometric methods for shape recovery from line drawings of polyhedra. Journal of Mathematical Imaging and Vision, 22(1): 5-18, 2005.
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