Abstract
In this paper, a new interpolatory subdivision scheme, called ternary interpolating subdivision, for quadrilateral meshes with arbitrary topology is presented. It can be used to deal with not only extraordinary faces but also extraordinary vertices in polyhedral meshes of arbitrary topologies. It is shown that the ternary interpolating subdivision can generate a C 1-continuous interpolatory surface. Some applications with open boundaries and curves to be interpolated are also discussed.
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Wang, H., Qin, K. Surface modeling with ternary interpolating subdivision. Vis Comput 21, 59–70 (2005). https://doi.org/10.1007/s00371-004-0270-2
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DOI: https://doi.org/10.1007/s00371-004-0270-2