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.
Titolo: | Quadratic B-Spline Surfaces with Free Parameters for the Interpolation of Curve Networks | |
Autori Riconosciuti: | ||
Autori: | Lamberti P.; Remogna S. | |
Data di pubblicazione: | 2022 | |
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. | |
Volume: | 10 | |
Fascicolo: | 4 | |
Pagina iniziale: | 543 | |
Pagina finale: | 559 | |
Digital Object Identifier (DOI): | 10.3390/math10040543 | |
URL: | https://www.mdpi.com/2227-7390/10/4/543 | |
Parole Chiave: | B-spline surface; Curve network; Interpolation | |
Rivista: | MATHEMATICS | |
Appare nelle tipologie: | 03A-Articolo su Rivista |
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