Degree elevation of changeable degree spline

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摘要

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.

论文关键词:Computer aided geometric design,B-spline,Basis function,Degree elevation,Changeable degree spline,Corner cutting

论文评审过程:Received 5 March 2014, Revised 23 November 2015, Available online 23 December 2015, Version of Record 14 January 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2015.11.030