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» Using Lattices for Reconstructing Stemma
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JCAM
2011
78views more  JCAM 2011»
12 years 7 months ago
Symmetric box-splines on root lattices
Root lattices are efficient sampling lattices for reconstructing isotropic signals in arbitrary dimensions, due to their highly symmetric structure. One root lattice, the Cartesia...
Minho Kim, Jörg Peters
DGCI
2003
Springer
13 years 9 months ago
Stability in Discrete Tomography: Linear Programming, Additivity and Convexity
The problem of reconstructing finite subsets of the integer lattice from X-rays has been studied in discrete mathematics and applied in several fields like image processing, data...
Sara Brunetti, Alain Daurat
VIS
2004
IEEE
98views Visualization» more  VIS 2004»
14 years 5 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
LATIN
2010
Springer
13 years 11 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin