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» Sampling and Reconstruction of Operators
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CCCG
2006
13 years 9 months ago
Polygon Reconstruction from Line Cross-Sections
We study the following geometric probing problem: Reconstruct a planar polygon from its intersections with a collection of arbitrarily-oriented "cutting" lines. We propo...
Gill Barequet, Craig Gotsman, Avishay Sidlesky
VIS
2004
IEEE
98views Visualization» more  VIS 2004»
14 years 8 months ago
Linear and Cubic Box Splines for the Body Centered Cubic Lattice
In this paper we derive piecewise linear and piecewise cubic box spline reconstruction filters for data sampled on the body centered cubic (BCC) lattice. We analytically derive a ...
Alireza Entezari, Ramsay Dyer, Torsten Möller
ICIP
2005
IEEE
14 years 9 months ago
Sampling schemes for 2-D signals with finite rate of innovation using kernels that reproduce polynomials
In this paper, we propose new sampling schemes for classes of 2-D signals with finite rate of innovation (FRI). In particular, we consider sets of 2-D Diracs and bilevel polygons....
Pancham Shukla, Pier Luigi Dragotti
ICASSP
2009
IEEE
14 years 2 months ago
Single and multichannel sampling of bilevel polygons using exponential splines
In this paper we present a novel approach for sampling and reconstructing any K-sided convex and bilevel polygon with the use of exponential splines [1]. It will be shown that wit...
Hojjat Akhondi Asl, Pier Luigi Dragotti
ICIP
2006
IEEE
14 years 9 months ago
Robust Kernel Regression for Restoration and Reconstruction of Images from Sparse Noisy Data
We introduce a class of robust non-parametric estimation methods which are ideally suited for the reconstruction of signals and images from noise-corrupted or sparsely collected s...
Hiroyuki Takeda, Sina Farsiu, Peyman Milanfar