Cubic polynomial patches through geodesics
نویسنده
چکیده
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 G1 connection of (1, k) patches with abutting pregeodesics. c © 2007 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computer-Aided Design
دوره 40 شماره
صفحات -
تاریخ انتشار 2008