Local smooth surface interpolation: a classification☆
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Cited by (50)
Polynomial spline interpolation of incompatible boundary conditions with a single degenerate surface
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2014, Computer Aided Geometric DesignConstructive <sup>G 1</sup> connection of multiple freeform pipes in arbitrary poses
2013, Computer Aided Geometric DesignConstructing G <sup>1</sup> Bézier surfaces over a boundary curve network with T-junctions
2012, CAD Computer Aided DesignG<sup>2</sup>B-spline interpolation to a closed mesh
2011, CAD Computer Aided DesignA weighted bivariate blending rational interpolation based on function values
2011, Applied Mathematics and ComputationCitation Excerpt :Spline interpolation is a useful tool for designing curves and surfaces in computer aided geometric design, hence in the past decade, there has been considerable interest in spline interpolation. For instance, literature [1] gives a method that interpolating the spatial points by a uniform cubic B-spline, and literatures [2,3] realize the smooth interpolation for surfaces. But this kind of spline interpolation has one disadvantage that given the interpolating data, the interpolating function is unique.
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This research was supported by NSF DMS-8701275.
Copyright © 1990 Published by Elsevier B.V.