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Analysis of Csupra(k)-subdivision surfaces at extraordinary points

Prautzsch, Hartmut


This paper gives an analysis of surfaces generated by
subdividing control nets of arbitrary topology. We assume
that the underlying subdivision algorithm is stationary on
the regular parts of the control nets and described by a
matrix iteration around an extraordinary point. For these
subdivision schemes we derive conditions on the spectrum of
the matrix and its generalized eigenvectors such that
surfaces are produced which are regular and k-times
differentiable at their extraordinary points.

Cover der Publikation
Zugehörige Institution(en) am KIT Fakultät für Informatik – Institut für Betriebs- und Dialogsysteme (IBDS)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 1998
Sprache Englisch
Identifikator ISSN: 1432-7864
KITopen-ID: 2098
Verlag Universität Karlsruhe (TH)
Umfang 13 S.
Serie Interner Bericht. Universität Karlsruhe, Fakultät für Informatik ; 1998,4
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