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» A multivariate Powell-Sabin interpolant
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ADCM
2008
76views more  ADCM 2008»
13 years 5 months ago
A multivariate Powell-Sabin interpolant
We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IRn . T...
Tatyana Sorokina, Andrew J. Worsey
IMAMS
2007
108views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...
Oleg Davydov, Larry L. Schumaker
VLSM
2005
Springer
13 years 11 months ago
A C1 Globally Interpolatory Spline of Arbitrary Topology
Converting point samples and/or triangular meshes to a more compact spline representation for arbitrarily topology is both desirable and necessary for computer vision and computer ...
Ying He 0001, Miao Jin, Xianfeng Gu, Hong Qin
IACR
2011
141views more  IACR 2011»
12 years 5 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger