کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
440647 691209 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lagrange geometric interpolation by rational spatial cubic Bézier curves
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Lagrange geometric interpolation by rational spatial cubic Bézier curves
چکیده انگلیسی

In the paper, the Lagrange geometric interpolation by spatial rational cubic Bézier curves is studied. It is shown that under some natural conditions the solution of the interpolation problem exists and is unique. Furthermore, it is given in a simple closed form which makes it attractive for practical applications. Asymptotic analysis confirms the expected approximation order, i.e., order six. Numerical examples pave the way for a promising nonlinear geometric subdivision scheme.


► Lagrange geometric interpolation of spatial data by rational cubic curves.
► Analysis of the solvability conditions and the solution given in a closed form.
► Optimal approximation order established.
► Nonlinear subdivision based on the developed Lagrange scheme derived.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 29, Issues 3–4, March–May 2012, Pages 175–188
نویسندگان
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