کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638297 1632001 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representation of piecewise biharmonic surfaces using biquadratic B-Splines
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Representation of piecewise biharmonic surfaces using biquadratic B-Splines
چکیده انگلیسی

Piecewise biquadratic B-Spline surface satisfying biharmonic condition is studied in this paper. By applying biharmonic PDE, biquadratic B-Spline surface is fully determined by boundary control vertices. A linear system for solving inner control vertices is established. Its coefficient matrix is block tridiagonal and the proof of non-singularity of coefficient matrix is presented under the condition that all knots do not coincide with each other. A few examples are given to show the effectiveness of piecewise biharmonic biquadratic B-Spline surface. An interpolation method on given boundary points is presented if boundary curves are open.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 290, 15 December 2015, Pages 403–411
نویسندگان
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