Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Convex hulls of finite sets of points in two and three dimensions
Communications of the ACM
Optimal surface reconstruction from planar contours
Communications of the ACM
Some NP-complete geometric problems
STOC '76 Proceedings of the eighth annual ACM symposium on Theory of computing
Approximate algorithms for the traveling salesperson problem
SWAT '74 Proceedings of the 15th Annual Symposium on Switching and Automata Theory (swat 1974)
SCG '85 Proceedings of the first annual symposium on Computational geometry
SMI 2011: Full Paper: Localized Cocone surface reconstruction
Computers and Graphics
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Polyhedra of minimal surface area are suggested as natural candidates for object models. The problem of computing such a polyhedron from a set of 3D points that are its vertices is explored. An approximate algorithm is suggested, and results of a preliminary implementation are discussed.