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COSIT
2003
Springer
133views GIS» more  COSIT 2003»
14 years 19 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...
DCG
2007
102views more  DCG 2007»
13 years 7 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
ESANN
2001
13 years 8 months ago
Penalized least squares, model selection, convex hull classes and neural nets
We develop improved risk bounds for function estimation with models such as single hidden layer neural nets, using a penalized least squares criterion to select the size of the mod...
Gerald H. L. Cheang, Andrew R. Barron
SODA
2010
ACM
176views Algorithms» more  SODA 2010»
14 years 4 months ago
Self-improving Algorithms for Convex Hulls
We describe an algorithm for computing planar convex hulls in the self-improving model: given a sequence I1, I2, . . . of planar n-point sets, the upper convex hull conv(I) of eac...
Kenneth L. Clarkson, Wolfgang Mulzer, C. Seshadhri