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112
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CAD
2005
Springer
15 years 3 months ago
Geometric algorithms for rapidly reconfigurable mold manufacturing of free-form objects
This paper presents geometric algorithms for developing a re-configurable tooling system for fabrication of freeform objects. The proposed method involves a mold block, with n fac...
Aditya Kelkar, Rakesh Nagi, Bahattin Koc
149
Voted
SMI
2010
IEEE
148views Image Analysis» more  SMI 2010»
15 years 1 months ago
Paper-Strip Sculptures
—This paper introduces paper-strip sculptures, a physical mesh data-structure used to represent 2manifold mesh surfaces for understanding topological and geometrical aspects of s...
Ergun Akleman, Jianer Chen, Jonathan L. Gross
COMPGEOM
2010
ACM
15 years 7 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton
108
Voted
COMPGEOM
2004
ACM
15 years 8 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
COMPGEOM
2010
ACM
15 years 8 months ago
3D Euler spirals for 3D curve completion
Shape completion is an intriguing problem in geometry processing with applications in CAD and graphics. This paper defines a new type of 3D curves, which can be utilized for curv...
Gur Harary, Ayellet Tal