G2 Interpolation for polar surfaces. Issue 5 (2nd September 2016)

• Record Type: Journal Article
• Authors: Wang, Jianzhong; Cheng, Fuhua
• Is Part Of: Computer-aided design and applications. Volume 13:Issue 5(2016)
• Page Start: 610
• Page End: 617
• Publication Date: 2016-09-02
• Subjects: Subdivision -- Polar surface -- interpolation -- PCCSS; Computer-aided design -- Congresses; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Congresses; Engineering design -- Periodicals; 620.00420285
• DOI: 10.1080/16864360.2016.1150705
• Languages: English
• ISSNs: 1686-4360

Abstract

ABSTRACT: In this paper, we present a G 2 interpolating scheme for Polar surfaces, so that polar surfaces can be used in high precision CAD/CAM applications as well. The new scheme is Bezier crust based, i.e., the interpolating surface is generated by parametrically attaching an especially selected bi-degree 5 Bezier surface to a Catmull-Clark subdivision surface. While Bezier crust based scheme handles quad faces only, we show that through a conversion process, we can handle triangular faces in the Polar part as well. Curvature continuity of the generated limit surface of our new scheme is consistent with the corresponding Polar surface. In case of a PCCS, the generated limit surface of our new scheme is G 2 on the Polar part. GRAPHICAL ABSTRACT: