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• W2147038900 abstract "This paper presents an interpolatory subdivision scheme derived from the Doo-Sabin subdivision scheme. We first present the relations among three curve subdivision schemes, namely a four point interpolatory subdivision scheme, a cubic B-spline curve subdivision scheme, and the Chaikin's algorithm that generates uniform quadratic B-spline curves. By generalizing these relations to the surface case, we derive an interpolatory surface subdivision scheme from the Doo-Sabin subdivision scheme, a generalization of the Chaikin's algorithm to surface subdivision. In the new subdivision scheme, we also introduce a variable tension parameter that is dependent to local control vertices. The variable tension parameter can be used to effectively control the resulting limit surface of the proposed subdivision scheme." @default.
• W2147038900 created "2016-06-24" @default.
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• W2147038900 date "2011-09-01" @default.
• W2147038900 modified "2023-09-24" @default.
• W2147038900 title "Constructing an Interpolatory Subdivision Scheme from Doo-Sabin Subdivision" @default.
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• W2147038900 doi "https://doi.org/10.1109/cad/graphics.2011.80" @default.
• W2147038900 hasPublicationYear "2011" @default.
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