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JC
2010
55views more  JC 2010»
15 years 4 months ago
Dimension-wise integration of high-dimensional functions with applications to finance
We present a new general class of methods for the computation of high-dimensional integrals. The quadrature schemes result by truncation and discretization of the anchored-ANOVA d...
Michael Griebel, Markus Holtz
COMPGEOM
2005
ACM
15 years 8 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
ICCS
2001
Springer
15 years 10 months ago
Discrete Local Fairing of B-Spline Surfaces
Many surfaces can be modeled by interpolating data points digitized from existing products. But the digitized data points could have measuring errors. To adjust the points, fairing...
Seok-Yong Hong, Chung-Seong Hong, Hyun-Chan Lee, K...
DGCI
2006
Springer
15 years 9 months ago
A Benchmark Evaluation of Large-Scale Optimization Approaches to Binary Tomography
Abstract. Discrete tomography concerns the reconstruction of functions with a finite number of values from few projections. For a number of important real-world problems, this tomo...
Stefan Weber, Antal Nagy, Thomas Schüle, Chri...
CORR
2010
Springer
116views Education» more  CORR 2010»
15 years 5 months ago
Convergent discrete Laplace-Beltrami operators over surfaces
The convergence problem of the Laplace-Beltrami operators plays an essential role in the convergence analysis of the numerical simulations of some important geometric partial diff...
Jyh-Yang Wu, Mei-Hsiu Chi, Sheng-Gwo Chen