Applying Rational Envelope curves for skinning purposes  

作　　者：Kinga KRUPPA 

机构地区：[1]Faculty of Informatics,University of Debrecen,Debrecen H-4028,Hungary [2]Doctoral School of Informatics,University of Debrecen,Debrecen H-4028,Hungary

出　　处：《Frontiers of Information Technology & Electronic Engineering》2021年第2期202-209,共8页信息与电子工程前沿（英文版）

基　　金：supported by the construction EFOP-3.6.3-VEKOP-16-2017-00002;supported by the European Union,co-financed by the European Social Fund;Open access funding was provided by University of Debrecen。

摘　　要：Special curves in the Minkowski space such as Minkowski Pythagorean hodograph curves play an important role in computer-aided geometric design,and their usages are thoroughly studied in recent years.Bizzarri et al.(2016)introduced the class of Rational Envelope(RE)curves,and an interpolation method for G1 Hermite data was presented,where the resulting RE curve yielded a rational boundary for the represented domain.We now propose a new application area for RE curves:skinning of a discrete set of input circles.We show that if we do not choose the Hermite data correctly for interpolation,then the resulting RE curves are not suitable for skinning.We introduce a novel approach so that the obtained envelope curves touch each circle at previously defined points of contact.Thus,we overcome those problematic scenarios in which the location of touching points would not be appropriate for skinning purposes.A significant advantage of our proposed method lies in the efficiency of trimming offsets of boundaries,which is highly beneficial in computer numerical control machining.

关 键 词：Medial axis transform ENVELOPE INTERPOLATION SKINNING Circle 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]