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DFG
2007
Springer
15 years 3 months ago
Natural Neighbor Concepts in Scattered Data Interpolation and Discrete Function Approximation
: The concept of natural neighbors employs the notion of distance to define local neighborhoods in discrete data. Especially when querying and accessing large scale data, it is im...
Tom Bobach, Georg Umlauf
CORR
2010
Springer
115views Education» more  CORR 2010»
14 years 9 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
SMA
2003
ACM
154views Solid Modeling» more  SMA 2003»
15 years 2 months ago
Discretization of functionally based heterogeneous objects
The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for exampl...
Elena Kartasheva, Valery Adzhiev, Alexander A. Pas...
200
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EMMCVPR
2011
Springer
13 years 9 months ago
Discrete Optimization of the Multiphase Piecewise Constant Mumford-Shah Functional
Abstract. The Mumford-Shah model has been one of the most powerful models in image segmentation and denoising. The optimization of the multiphase Mumford-Shah energy functional has...
Noha Youssry El-Zehiry, Leo Grady
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
15 years 9 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...