کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
440408 691017 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of Bézier surface patches with Bézier curves as geodesic boundaries
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Construction of Bézier surface patches with Bézier curves as geodesic boundaries
چکیده انگلیسی

Given four polynomial or rational Bézier curves defining a curvilinear rectangle, we consider the problem of constructing polynomial or rational tensor-product Bézier patches bounded by these curves, such that they are geodesics of the constructed surface. The existence conditions and interpolation scheme, developed in a general context in earlier studies, are adapted herein to ensure that the geodesic-bounded surface patches are compatible with the usual polynomial/rational representation schemes of CAD systems. Precise conditions for four Bézier curves to constitute geodesic boundaries of a polynomial or rational surface patch are identified, and an interpolation scheme for the construction of such surfaces is presented when these conditions are satisfied. The method is illustrated with several computed examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer-Aided Design - Volume 41, Issue 11, November 2009, Pages 772–781
نویسندگان
, , ,