Minimal energy surfaces using parametric splines
نویسندگان
چکیده
We explore the construction of parametric surfaces which interpolate prescribed 3D scattered data using spaces of parametric splines defined on a 2D triangulation. The method is based on minimizing cettain natura1 energy expressions. Several examples involving filling hoies and crowning surfaces are presented, and the role of the triangulation as a Parameter is explored. The problem of creating closed surfaces is also addressed. This requires introducing spaces of splines on certain generalized triangulations. Kevword.r: Minimal energy surfaces; Parametric splines; Generalized triangulations; Interpolation; Filling holes; Crowning
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ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 13 شماره
صفحات -
تاریخ انتشار 1996