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» On joint triangulations of two sets of points in the plane
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700views
15 years 3 months ago
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems - [ Mumford-Shah ]
"The purpose of this paper is to introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In com...
David Mumford and Jayant Shah
ICDM
2009
IEEE
126views Data Mining» more  ICDM 2009»
14 years 1 months ago
Convex Non-negative Matrix Factorization in the Wild
Abstract—Non-negative matrix factorization (NMF) has recently received a lot of attention in data mining, information retrieval, and computer vision. It factorizes a non-negative...
Christian Thurau, Kristian Kersting, Christian Bau...
FOCS
2002
IEEE
13 years 11 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
3DPVT
2006
IEEE
231views Visualization» more  3DPVT 2006»
13 years 10 months ago
Simplified Belief Propagation for Multiple View Reconstruction
We address multiple-view reconstruction under an optimization approach based on belief propagation. A novel formulation of belief propagation that operates in 3-D is proposed to f...
E. Scott Larsen, Philippos Mordohai, Marc Pollefey...
RC
2002
103views more  RC 2002»
13 years 6 months ago
Exact Minkowski Products of N Complex Disks
An exact parameterization for the boundary of the Minkowski product of N circular disks in the complex plane is derived. When N > 2, this boundary curve may be regarded as a gen...
Rida T. Farouki, Helmut Pottmann