کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441479 691760 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Splines and unsorted knot sequences
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Splines and unsorted knot sequences
چکیده انگلیسی


• The definition of a B-spline is extended to unordered knot sequences. The resulting smooth piecewise polynomial of minimal support is named U-spline.
• U-splines can be negative and locally linearly dependent.
• Yet, linear combinations of U-splines share many B-spline properties including smoothness, polynomial reproduction, and evaluation by recurrence.

The definition of a B-spline is extended to unordered knot sequences. The added flexibility implies that the resulting piecewise polynomials, named U-splines, can be negative and locally linearly dependent. It is therefore remarkable that linear combinations of U-splines retain many properties of splines in B-spline form including smoothness, polynomial reproduction, and evaluation by recurrence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 30, Issue 7, October 2013, Pages 733–741
نویسندگان
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