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» The convex hull of ellipsoids
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ICPP
2002
IEEE
14 years 18 days ago
Computational Geometry On The OTIS-Mesh Optoelectronic Computer
We develop efficient algorithms for problems in computational geometry—convex hull, smallest enclosing box, ECDF, two-set dominance, maximal points, all-nearest neighbor, and c...
Chih-Fang Wang, Sartaj Sahni
COMPGEOM
1996
ACM
13 years 11 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson
COMPGEOM
2009
ACM
14 years 2 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
COSIT
2003
Springer
133views GIS» more  COSIT 2003»
14 years 26 days ago
Convexity in Discrete Space
This paper looks at axioms for convexity, and shows how they can be applied to discrete spaces. Two structures for a discrete geometry are considered: oriented matroids, and cell c...
Anthony J. Roy, John G. Stell
ICPR
2008
IEEE
14 years 8 months ago
Robust decomposition of a digital curve into convex and concave parts
We propose a linear in time and easy-to-implement algorithm that robustly decomposes a digital curve into convex and concave parts. This algorithm is based on classical tools in d...
Tristan Roussillon, Isabelle Sivignon, Laure Tougn...