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Towards the curvature cuff of a canal surface

Mueller, Andreas


A canal surface is the envelope of a family of spheres,
whose centers move on a curve while their radii vary.
By means of a stereographic mapping, a sphere corresponds to
a point in 4-space. The canal surface then corresponds to a curve
in 4-space.
The paper gives insights into this mapping and presents
a construction of an osculating Dupin cyclide, which
provides the principal curvatures for each generating circle of
a curvature continuous canal surface.

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: 1898
Verlag Universität Karlsruhe (TH)
Serie Interner Bericht. Universität Karlsruhe, Fakultät für Informatik ; 1998, 3
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