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Cubic polynomial patches through geodesics

โœ Scribed by Marco Paluszny


Book ID
104006438
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
697 KB
Volume
40
Category
Article
ISSN
0010-4485

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โœฆ Synopsis


We consider patches that contain any given 3D polynomial curve as a pregeodesic (i.e. geodesic up to reparametrization). A curve is a pregeodesic if and only if its rectifying plane coincides with the tangent plane to the surface, we use this fact to construct ruled cubic patches through pregeodesics and bicubic patches through pairs of pregeodesics. We also discuss the G 1 connection of (1, k) patches with abutting pregeodesics.


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