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Volume 10
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Article

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

by
Paola Lamberti
* and
Sara Remogna
Department of Mathematics, University of Torino, Via C. Alberto, 10-10123 Torino, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(4), 543; https://doi.org/10.3390/math10040543
Submission received: 28 December 2021 / Revised: 4 February 2022 / Accepted: 5 February 2022 / Published: 10 February 2022
(This article belongs to the Special Issue Spline Functions and Applications)
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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 interpolation; B-spline surface; curve network

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MDPI and ACS Style

Lamberti, P.; Remogna, S. Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks. Mathematics 2022, 10, 543. https://doi.org/10.3390/math10040543

AMA Style

Lamberti P, Remogna S. Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks. Mathematics. 2022; 10(4):543. https://doi.org/10.3390/math10040543

Chicago/Turabian Style

Lamberti, Paola, and Sara Remogna. 2022. "Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks" Mathematics 10, no. 4: 543. https://doi.org/10.3390/math10040543

APA Style

Lamberti, P., & Remogna, S. (2022). Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks. Mathematics, 10(4), 543. https://doi.org/10.3390/math10040543

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