Degree elevation of changeable degree spline

Degree elevation of changeable degree spline
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可变度样条的度数提升

DOI:
10.1016/j.cam.2015.11.030
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发表时间:
2016
影响因子:
2.4
通讯作者:
Chengjie Tan
Chengjie Tan
中科院分区:
数学2区
文献类型:
--
作者:
Wanqiang Shen;Ping Yin;Chengjie Tan

文献摘要

相似文献

变阶样条(CD-Spline)是B-Spline的直接扩展,允许不同的线段具有不同的阶数。本文给出了一种CD-Spline的升阶方法。该方法是灵活的,因为它适用于任何CD-Spline的任何段的任何程度的提升。用这种方法可以将CD-Spline变换成B-Spline,反之亦然,用这种方法可以实现不同阶的变换。此外,这种升阶方法被描述为一种拐角切割过程。
Changeable degree spline (CD-spline), a direct extension of the B-spline, allows different segments to possess different degrees. In this paper, we present a method for degree elevation of a CD-spline. The method is flexible, as it applies to any segment of any CD-spline elevated by any degree. A CD-spline can be transformed into a B-spline, and vice versa, in various orders by using this method. Moreover, this degree elevation method is presented as a corner cutting process.