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TSMC
2002
119views more  TSMC 2002»
13 years 9 months ago
Approximation of n-dimensional data using spherical and ellipsoidal primitives
This paper discusses the problem of approximating data points in -dimensional Euclidean space using spherical and ellipsoidal surfaces. A closed form solution is provided for spher...
Giuseppe Carlo Calafiore
COMBINATORICA
2010
13 years 7 months ago
Formulae and growth rates of high-dimensional polycubes
A d-dimensional polycube is a facet-connected set of cubes in d dimensions. Fixed polycubes are considered distinct if they differ in their shape or orientation. A proper d-dimens...
Ronnie Barequet, Gill Barequet, Günter Rote
SIAMDM
2011
13 years 4 months ago
Root Polytopes and Growth Series of Root Lattices
The convex hull of the roots of a classical root lattice is called a root polytope. We determine explicit unimodular triangulations of the boundaries of the root polytopes associat...
Federico Ardila, Matthias Beck, Serkan Hosten, Jul...
SCALESPACE
2009
Springer
14 years 4 months ago
Computational Geometry-Based Scale-Space and Modal Image Decomposition
In this paper a framework for defining scale-spaces, based on the computational geometry concepts of α-shapes, is proposed. In this approach, objects (curves or surfaces) of incr...
Anatole Chessel, Bertrand Cinquin, Sabine Bardin, ...
CIE
2005
Springer
14 years 3 months ago
Computability in Computational Geometry
We promote the concept of object directed computability in computational geometry in order to faithfully generalise the wellestablished theory of computability for real numbers and...
Abbas Edalat, Ali Asghar Khanban, André Lie...