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» The convex hull of ellipsoids
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ICPP
2002
IEEE
15 years 2 months 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
15 years 1 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
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
COSIT
2003
Springer
133views GIS» more  COSIT 2003»
15 years 2 months 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
15 years 10 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...