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» L1 Spline Methods for Scattered Data Interpolation and Appro...
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CAGD
2010
102views more  CAGD 2010»
13 years 5 months ago
Nonnegativity preserving macro-element interpolation of scattered data
Abstract. Nonnegative bivariate interpolants to scattered data are constructed using some C1 macro-element spline spaces. The methods are local, and rely on adjusting gradients at ...
Larry L. Schumaker, Hendrik Speleers
ICCSA
2005
Springer
13 years 11 months ago
Quasi-interpolants Based Multilevel B-Spline Surface Reconstruction from Scattered Data
Abstract. This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants to compute the control point...
Byung-Gook Lee, Joon-Jae Lee, Ki-Ryoung Kwon
NA
2008
92views more  NA 2008»
13 years 5 months ago
Computing bivariate splines in scattered data fitting and the finite-element method
A number of useful bivariate spline methods are global in nature, i.e., all of the coefficients of an approximating spline must be computed at one time. Typically this involves sol...
Larry L. Schumaker
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