Invariant-geometry conditions for the rational bi-quadratic Bézier surfaces
journal contribution
posted on 2014-05-28, 09:22 authored by Helmut BezA generalization of Patterson’s work (Patterson, 1985), on the invariants of the
rational Bézier curves, to the case of surfaces is presented. An equation for the
determination of the invariants for surfaces of degree (n, n) is derived and solved for
the bi-quadratics – for which it is shown that seven independent, invariant functions
exist. Explicit forms of the invariants are derived and a number of applications are
presented.
History
School
- Science
Department
- Computer Science
Citation
BEZ, H.E., 2009. Invariant-geometry conditions for the rational bi-quadratic Bézier surfaces. Computer Aided Geometric Design, 26 (8), pp.877-887.Publisher
© ElsevierVersion
- SMUR (Submitted Manuscript Under Review)
Publication date
2009Notes
This is the author’s version of a work that was submitted for publication in Computer Aided Geometric Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at: http://dx.doi.org/10.1016/j.cagd.2009.06.004ISSN
0167-8396Publisher version
Language
- en
