کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473644 698800 2011 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new bivariate basis representation for Bézier-based triangular patches with quadratic complexity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A new bivariate basis representation for Bézier-based triangular patches with quadratic complexity
چکیده انگلیسی

A new class of bivariate bases for the triangular surface construction, based on quadratic and cubic bivariate Bernstein polynomials, is proposed, by extending a model for the univariate basis with linear complexity. This new basis is recursively expressed by its recurrence formulae which are provided, and its important geometric properties are also described. In addition, a recursive algorithm for calculating a point on this triangular surface is recursively defined in the same manner as in the well known de Casteljau algorithm. The main advantage of this model is its recursive algorithm that is proven to construct a triangular surface of degree nn in quadratic computational complexity, O(n2)O(n2).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 8, April 2011, Pages 2292–2295
نویسندگان
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