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ABSTRACT
In this paper, we present a G2 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 G2 on the Polar part.
GRAPHICAL ABSTRACT
Acknowledgment
This work is supported by National Science Foundation of China (61020106001, 61170324), National Science Council of ROC (NSC-100-2811-E-007-021), and a joint grant of National Tsinghua University and Chang-Gung Memorial Hospital (101N2756E1).
ORCID
Jianzhong Wang http://orcid.org/0000-0002-4250-7956
Fuhua Cheng http://orcid.org/0000-0003-2098-3027