This paper deals with the study of the interpolation of a bidirectional B-spline curve network by both biquadratic tensor product B-spline surfaces and quadratic B-spline surfaces on criss-cross triangulations, with the aim of simulating discontinuities in the gradient and even in the surface itself. An algorithm for such a construction is proposed and graphical results show the performance of the method.
Curve Network Interpolation by Unequally Smooth Quadratic B-Spline Surfaces with Free Parameters
Lamberti, Paola
;Remogna, Sara
2025-01-01
Abstract
This paper deals with the study of the interpolation of a bidirectional B-spline curve network by both biquadratic tensor product B-spline surfaces and quadratic B-spline surfaces on criss-cross triangulations, with the aim of simulating discontinuities in the gradient and even in the surface itself. An algorithm for such a construction is proposed and graphical results show the performance of the method.
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