کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441351 691448 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the deviation of a parametric cubic spline interpolant from its data polygon
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
On the deviation of a parametric cubic spline interpolant from its data polygon
چکیده انگلیسی

When fitting a parametric curve through a sequence of points, it is important in applications that the curve should not exhibit unwanted oscillations. In this paper we take the view that a good curve is one that does not deviate too far from the data polygon: the polygon formed by the data points. From this point of view, we study periodic cubic spline interpolation and derive bounds on the deviation with respect to three common choices of parameterization: uniform, chordal, and centripetal. If one wants small deviation, the centripetal spline is arguably the best choice among the three.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 25, Issue 3, March 2008, Pages 148-156