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COMPGEOM
2009
ACM
15 years 4 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
COMPGEOM
2009
ACM
15 years 4 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy
JCDCG
2004
Springer
15 years 3 months ago
Single-Vertex Origami and Spherical Expansive Motions
We prove that all single-vertex origami shapes are reachable from the open flat state via simple, non-crossing motions. We also consider conical paper, where the total sum of the ...
Ileana Streinu, Walter Whiteley
DGCI
2000
Springer
15 years 2 months ago
Deformable Modeling for Characterizing Biomedical Shape Changes
Abstract. We present a new algorithm for modeling and characterizing shape changes in 3D image sequences of biomedical structures. Our algorithm tracks the shape changes of the obj...
Matthieu Ferrant, Benoit M. Macq, Arya Nabavi, Sim...
COMPGEOM
1999
ACM
15 years 2 months ago
Motion Planning for a Rigid Body Using Random Networks on the Medial Axis of the Free Space
Several motion planning methods using networks of randomly generated nodes in the free space have been shown to perform well in a number of cases, however their performance degrad...
Steven A. Wilmarth, Nancy M. Amato, Peter F. Still...