Mean value coordinates
- M. Floater
- MathematicsComputer Aided Geometric Design
- 1 March 2003
Parametrization and smooth approximation of surface triangulations
- M. Floater
- Mathematics, Computer ScienceComputer Aided Geometric Design
- 1 April 1997
Barycentric rational interpolation with no poles and high rates of approximation
- M. Floater, K. Hormann
- Mathematics, Computer ScienceNumerische Mathematik
- 7 August 2007
A family of barycentric rational interpolants that have no real poles and arbitrarily high approximation orders on any real interval, regardless of the distribution of the points are proposed and studied.
Surface Parameterization: a Tutorial and Survey
- M. Floater, K. Hormann
- GeologyAdvances in Multiresolution for Geometric…
- 2005
Various concepts from differential geometry which are relevant to surface mapping are gathered and used to understand the strengths and weaknesses of the many methods for parameterizing piecewise linear surfaces and their relationship to one another.
Mean value coordinates for arbitrary planar polygons
- K. Hormann, M. Floater
- Mathematics, Computer ScienceTOGS
- 1 October 2006
It is shown that mean value coordinates are in fact well-defined for arbitrary planar polygons without self-intersections, and they are particularly useful for interpolating data that is given at the vertices of the polygons.
Multistep scattered data interpolation using compactly supported radial basis functions
- M. Floater, A. Iske
- Computer Science, Mathematics
- 5 October 1996
Blow-up at the boundary for degenerate semilinear parabolic equations
- M. Floater
- Mathematics
- 1 March 1991
This paper treats a superlinear parabolic equation, degenerate in the time derivative. It is shown that the solution may blow up in finite time. Moreover, it is proved that for a large class of…
Mean value coordinates in 3D
- M. Floater, G. Kós, M. Reimers
- MathematicsComputer Aided Geometric Design
- 1 October 2005
One-to-one piecewise linear mappings over triangulations
- M. Floater
- MathematicsMathematics of Computation
- 1 April 2003
This result can be viewed as a discrete version of the Rado-Kneser-Choquet theorem for harmonic mappings, but is also closely related to Tutte's theorem on barycentric mappings of planar graphs.
A general construction of barycentric coordinates over convex polygons
- M. Floater, K. Hormann, G. Kós
- Mathematics, Computer ScienceAdvances in Computational Mathematics
- 2006
This paper derives sharp upper and lower bounds on all barycentric coordinates over convex polygons and uses them to show that all such coordinates have the same continuous extension to the boundary.
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