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» L1 Spline Methods for Scattered Data Interpolation and Appro...
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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
CGF
1998
86views more  CGF 1998»
13 years 7 months ago
Subdivision Schemes for Thin Plate Splines
Thin plate splines are a well known entity of geometric design. They are defined as the minimizer of a variational problem whose differential operators approximate a simple notio...
Henrik Weimer, Joe D. Warren
COMPUTING
2006
162views more  COMPUTING 2006»
13 years 7 months ago
Numerical Cubature on Scattered Data by Radial Basis Functions
We study cubature formulas on relatively small scattered samples in the unit square, obtained by integrating radial basis function (RBF) interpolants. Numerical tests show that, d...
Alvise Sommariva, Marco Vianello
DFG
2007
Springer
14 years 1 months ago
Natural Neighbor Concepts in Scattered Data Interpolation and Discrete Function Approximation
: The concept of natural neighbors employs the notion of distance to define local neighborhoods in discrete data. Especially when querying and accessing large scale data, it is im...
Tom Bobach, Georg Umlauf
FSS
2002
125views more  FSS 2002»
13 years 7 months ago
An "orderwise" polynomial regression procedure for fuzzy data
In this work we study approximation of fuzzy functions on a finite set of distinct points. Two types of approximation are considered, one method based on fuzzy linear programming p...
Pierpaolo D'Urso, Tommaso Gastaldi