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» An interpolation theorem
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SMA
2009
ACM
166views Solid Modeling» more  SMA 2009»
14 years 1 months ago
A geometric criterion for smooth interpolation of curve networks
A key problem when interpolating a network of curves occurs at vertices: an algebraic condition called the vertex enclosure constraint must hold wherever an even number of curves ...
T. Hermann, J. Peters, T. Strotman
APAL
1999
88views more  APAL 1999»
13 years 7 months ago
A Simple Propositional S5 Tableau System
We give a sound and complete propositional S5 tableau system of a particularly simple sort, having an easy completeness proof. It sheds light on why the satisfiability problem for...
Melvin Fitting
ICIP
2000
IEEE
14 years 9 months ago
Complete Parametrization of Piecewise Polynomial Interpolators According to Degree, Support, Regularity, and Order
The most essential ingredient of interpolation is its basis function. We have shown in previous papers that this basis need not be necessarily interpolating to achieve good result...
Michael Unser, Philippe Thévenaz, Thierry B...
DAGSTUHL
2008
13 years 8 months ago
Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling
An overall approach to the problem of error analysis in the context of solid modelling, analogous to the standard forward/backward error analysis of Numerical Analysis, was describ...
Neil F. Stewart, Malika Zidani
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel