Experimental results on quadrangulations of sets of fixed points
Computer Aided Geometric Design
Topological quadrangulations of closed triangulated surfaces using the Reeb graph
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Energy minimization method for scattered data Hermite interpolation
Applied Numerical Mathematics
Computing convex quadrangulations
Discrete Applied Mathematics
Shape-preserving, multiscale interpolation by bi- and multivariate cubic L1 splines
Computer Aided Geometric Design
Scattered data interpolation by bivariate splines with higher approximation order
Journal of Computational and Applied Mathematics
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We show how C2 supersplines of degree six can be used to interpolate Hermite data at the vertices of a quadrangulation. We also present error bounds that show that our method has full approximation order seven, and compare its efficiency with other C2interpolation methods in the literature.