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CAD
2005
Springer
14 years 9 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
SMI
2010
IEEE
148views Image Analysis» more  SMI 2010»
14 years 8 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 2 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
COMPGEOM
2004
ACM
15 years 3 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 2 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