کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4626114 | 1340511 | 2016 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A family of smooth and interpolatory basis functions for parametric curve and surface representation A family of smooth and interpolatory basis functions for parametric curve and surface representation](/preview/png/4626114.png)
Interpolatory basis functions are helpful to specify parametric curves or surfaces that can be modified by simple user-interaction. Their main advantage is a characterization of the object by a set of control points that lie on the shape itself (i.e., curve or surface). In this paper, we characterize a new family of compactly supported piecewise-exponential basis functions that are smooth and satisfy the interpolation property. They can be seen as a generalization and extension of the Keys interpolation kernel using cardinal exponential B-splines. The proposed interpolators can be designed to reproduce trigonometric, hyperbolic, and polynomial functions or combinations of them. We illustrate the construction and give concrete examples on how to use such functions to construct parametric curves and surfaces.
Journal: Applied Mathematics and Computation - Volume 272, Part 1, 1 January 2016, Pages 53–63