Spline conversion for trimmed rational Bézier- and B-spline surfaces

Conversion methods are required for the exchange of data. First a given rational B-spline surface with curved boundaries will be segmented by curvature oriented arguments, then these patches will be converted into bicubic or biquintic integral Bézier patches with help of geometric continuity conditi...

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Bibliographic Details
Published inComputer aided design Vol. 22; no. 9; pp. 580 - 590
Main Authors Hoschek, Josef, Schneider, Franz-Josef
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1990
Elsevier Science
Subjects
Applied sciences
approximation in parametric domain
B-splines
Bézier splines
Computer aided design
Computer science; control theory; systems
data exchange
Exact sciences and technology
geometric continuity
Software
Bézier splines
geometric continuity
data exchange
approximation in parametric domain
B-splines
Bézier curve
Computational geometry
Computer aided design
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Summary:Conversion methods are required for the exchange of data. First a given rational B-spline surface with curved boundaries will be segmented by curvature oriented arguments, then these patches will be converted into bicubic or biquintic integral Bézier patches with help of geometric continuity conditions. The given curves with rational B-spline representation of arbitrary order in the parametric domain will be converted into integral B-spline curves of arbitrary order with help of geometric boundary conditions.
ISSN:0010-4485
1879-2685
DOI:10.1016/0010-4485(90)90043-C