کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4607024 1631418 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unifying structure for polar forms and for Bernstein Bézier curves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A unifying structure for polar forms and for Bernstein Bézier curves
چکیده انگلیسی
We construct polar forms for diverse types of spaces, including trigonometric polynomials, hyperbolic polynomials and special Müntz spaces, by altering the diagonal property of the polar form for homogeneous polynomials. We use this polar form to develop recursive evaluation algorithms and subdivision procedures for the corresponding Bernstein Bézier curves. We also derive identities and properties of these Bernstein bases and Bernstein Bézier curves, including affine invariance, curvilinear precision, end point interpolation, a degree elevation formula, a differentiation formula, a Marsden identity, a convex hull property, total positivity, and the variation diminishing property.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 192, April 2015, Pages 234-249
نویسندگان
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