B-Spline Surfaces with Knot Segments

  • This report presents a generalization of tensor-product B-spline surfaces. The new scheme permits knots whose endpoints lie in the interior of the domain rectangle of a surface. This allows local refinement of the knot structure for approximation purposes as well as modeling surfaces with local tangent or curvature discontinuities. The surfaces are represented in terms of B-spline basis functions, ensuring affine invariance, local control, the convex hull property, and evaluation by de Boor's algorithm. A dimension formula for a class of generalized tensor-product spline spaces is developed.

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Author:Frank Weller
Serie (Series number):Interner Bericht des Fachbereich Informatik (249)
Document Type:Report
Language of publication:English
Publication Date:2017/11/03
Year of Publication:1994
Publishing Institute:Technische Universit├Ąt Kaiserslautern
Date of the Publication (Server):2017/11/03
Number of page:32
Faculties / Organisational entities:Kaiserslautern - Fachbereich Informatik
DDC-Cassification:0 Allgemeines, Informatik, Informationswissenschaft / 004 Informatik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0)