Abstract
A ternary interpolatory subdivision scheme based on interpolatory \(\sqrt 3 \)-subdivision is proposed first. The limit surface is C1-continuous. To improve its property, a kind of ternary interpolatory subdivision scheme with two shape parameters is constructed and analyzed. It is shown that for a certain range of the parameters the resulting surface can be C1-continuous.
Supported by the Doctorate Foundation of Northwestern Polytechnical University(CX200328)
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Zheng, H., Ye, Z. (2005). Ternary Interpolatory Subdivision Schemes for the Triangular Mesh. In: Zhang, W., Tong, W., Chen, Z., Glowinski, R. (eds) Current Trends in High Performance Computing and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27912-1_19
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DOI: https://doi.org/10.1007/3-540-27912-1_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25785-1
Online ISBN: 978-3-540-27912-9
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