Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks

Paola Lamberti and Sara Remogna
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Paola Lamberti: Department of Mathematics, University of Torino, Via C. Alberto, 10-10123 Torino, Italy
Sara Remogna: Department of Mathematics, University of Torino, Via C. Alberto, 10-10123 Torino, Italy

Mathematics, 2022, vol. 10, issue 4, 1-17

Abstract: In this paper, we propose a method for constructing spline surfaces interpolating a B-spline curve network, allowing the presence of free parameters, in order to model the interpolating surface. We provide a constructive algorithm for its generation in the case of biquadratic tensor product B-spline surfaces and bivariate B-spline surfaces on criss-cross triangulations. Finally, we present graphical results.

Keywords: interpolation; B-spline surface; curve network (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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