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ICIP
2005
IEEE
16 years 8 months ago
Beyond interpolation: optimal reconstruction by quasi-interpolation
We investigate the use of quasi-interpolating approximation schemes, to construct an estimate of an unknown function from its given discrete samples. We show theoretically and wit...
Laurent Condat, Thierry Blu, Michael Unser
RC
2002
70views more  RC 2002»
15 years 6 months ago
On Existence and Uniqueness Verification for Non-Smooth Functions
Given an approximate solution to a nonlinear system of equations at which the Jacobi matrix is nonsingular, and given that the Jacobi matrix is continuous in a region about this ap...
R. Baker Kearfott
ITA
2007
15 years 6 months ago
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds...
Nicolas Brisebarre, Jean-Michel Muller
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
16 years 7 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
15 years 11 months ago
A contractivity approach for probabilistic bisimulations of diffusion processes
— This work is concerned with the problem of characterizing and computing probabilistic bisimulations of diffusion processes. A probabilistic bisimulation relation between two su...
Alessandro Abate