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Shape Modeling and Applications, International Conference on (2002)
Banff, Canada
May 17, 2002 to May 22, 2002
ISBN: 0-7695-1546-0
pp: 13
<p>In their recent paper about how the duality between subdivision surface schemes lead to higher-degree continuity, Zorin and Schr?der consider only quadrilateral subdivision schemes. The dual of a quadrilateral scheme is again a quadrilateral scheme, while the dual of a triangular scheme is a hexagonal scheme.</p> <p>In this paper we propose such a hexagonal scheme, which can be considered a dual to Kobbelt ' Sqrt (3) scheme for triangular meshes. We introduce recursive subdivision rule for meshes with arbitrary topology, optimizing the surface continuity given a minimal support area. These rule have a simplicity comparable to the Doo-Sabin scheme: only new vertices of one type are introduced and every subdivision step removes the vertices of the previous steps.</p> <p>As hexagonal meshes are not encountered frequently in practice, we describe two different techniques to convert triangular meshes into hexagonal ones.</p>
Frank Van Reeth, Johan Claes, Koen Beets, "A Corner-Cutting Scheme for Hexagonal Subdivision Surfaces", Shape Modeling and Applications, International Conference on, vol. 00, no. , pp. 13, 2002, doi:10.1109/SMA.2002.1003523
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