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CORR
2010
Springer
72views Education» more  CORR 2010»
13 years 3 months ago
A Generalized Sampling Theorem for Reconstructions in Arbitrary Bases
—We present a generalized sampling theorem allowing reconstructions in arbitrary bases. The classical Shannon Sampling Theorem is a special case of our theorem. Specifically, we...
Ben Adcock, Anders C. Hansen
JMIV
2008
56views more  JMIV 2008»
13 years 5 months ago
Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds
We present new sampling theorems for surfaces and higher dimensional manifolds. The core of the proofs resides in triangulation results for manifolds with boundary, not necessarily...
Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi
ICIP
1995
IEEE
14 years 6 months ago
3D super-resolution using generalized sampling expansion
A 3D super-resolution algorithm is proposed below, based on a probabilistic interpretation of the ndimensional version of Papoulis' generalized sampling theorem. The algorith...
Hassan Shekarforoush, Marc Berthod, Josiane Zerubi...
FOCS
2006
IEEE
13 years 11 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
ICIP
2000
IEEE
14 years 6 months ago
Generalized Wiener Reconstruction of Images from Colour Sensor Data Using a Scale Invariant Prior
An algorithm is described for reconstructing images from colour sensor samples, which need not be aligned nor conform to a rectangular sampling geometry. The algorithm has applica...
David Taubman