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COMPGEOM
2005
ACM
13 years 12 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres in R3
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen
CORR
2007
Springer
119views Education» more  CORR 2007»
13 years 10 months ago
Hadwiger and Helly-type theorems for disjoint unit spheres
Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
TCS
2008
13 years 9 months ago
Curves and surfaces represented by polynomial support functions
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
Zbynek Sír, Jens Gravesen, Bert Jüttle...
SIAMCO
2000
67views more  SIAMCO 2000»
13 years 9 months ago
On the Duality between Filtering and Nevanlinna--Pick Interpolation
Positive real rational functions play a central role in both deterministic and stochastic linear systems theory, as well as in circuit synthesis, spectral analysis, and speech proc...
Christopher I. Byrnes, Anders Lindquist
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