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» Stability in geometric theories
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SMI
1999
IEEE
111views Image Analysis» more  SMI 1999»
15 years 2 months ago
Computational Topology for Shape Modeling
This paper expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling. Two geometric representations in par...
John C. Hart
COMPGEOM
2005
ACM
14 years 11 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»
14 years 9 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
14 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»
14 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