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Abstract
We propose a nonlinear interpolatory curve subdivision based on averaging normal vectors, which can reproduce circular arcs when straight edges exist in the original control polygon and generate conics when initial control points are sampled uniformly. Corresponding proofs and examples are also given for verifying the correctness of this scheme.
2000 AMS Subject Classification :
Acknowledgements
Project supported in part by NSFC grant 10871208 and Major Research Plan of NSFC (90715043).