Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Shape preserving least-squares approximation by polynomial parametric spline curves
Computer Aided Geometric Design
Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis
IEEE Transactions on Visualization and Computer Graphics
On a class of weak Tchebycheff systems
Numerische Mathematik
Isogeometric analysis in advection-diffusion problems: Tension splines approximation
Journal of Computational and Applied Mathematics
Shape preserving hermite interpolation by rational biquadratic splines
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
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In this paper, we present a new method for the construction of parametric surfaces reproducing an object from a set of spatial data. We adopt a hybrid scheme, based on the Boolean sum of variable degree spline operators, which both interpolate a set of grid lines and approximate the data. As usual the variable degrees can be chosen to satisfy proper shape constraints.