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CAGD
2010
102views more  CAGD 2010»
13 years 7 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
IMAMS
2007
108views Mathematics» more  IMAMS 2007»
13 years 9 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
DAGSTUHL
1997
13 years 8 months ago
Scattered Data Techniques for Surfaces
This survey presents several techniques for solving variants of the following scattered data interpolation problem: given a nite set of N points in R3, nd a surface that interpola...
Suresh K. Lodha, Richard Franke
BILDMED
2008
124views Algorithms» more  BILDMED 2008»
13 years 9 months ago
Non-equispaced Fourier Transform Vs. Polynomial-Based Metal Artifact Reduction in Computed Tomography
We propose a method, which treats metal artifact reduction in CT by sinogram restoration as a problem of scattered data interpolation. Corrupted sinogram entries are discarded and ...
Bärbel Kratz, Tobias Knopp, Jan Müller 0...
DAGSTUHL
1997
13 years 8 months ago
Interpolation and Approximation of Surfaces from Three-dimensional Scattered Data Points
There is a wide range of applications for which surface interpolation or approximation from scattered data points in space is important. Dependent on the field of application and...
Robert Mencl, Heinrich Müller