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• W4382464006 abstract "L–systems have been used to describe non-uniform, univariate, subdivision schemes, which offer more flexible refinement processes than the uniform schemes, while at the same time are easier to analyse than the geometry driven non-uniform schemes. In this paper, we extend L–system based non-uniform subdivision to the bivariate setting. We study the properties that an L–system should have to be the suitable descriptor of a subdivision refinement process. We derive subdivision masks to construct the regular parts of the subdivision surface as cubic B-spline patches. Finally, we describe stencils for the extraordinary vertices, which after a few steps become stationary, so that the scheme can be studied through simple eigenanalysis. The proposed method is illustrated through two new subdivision schemes, a Binary-Ternary, and a Fibonacci scheme with average refinement rate below two." @default.
• W4382464006 created "2023-06-29" @default.
• W4382464006 creator A5066817758 @default.
• W4382464006 creator A5075071289 @default.
• W4382464006 date "2023-11-01" @default.
• W4382464006 modified "2023-10-18" @default.
• W4382464006 title "Bivariate non-uniform subdivision schemes based on L-systems" @default.
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• W4382464006 doi "https://doi.org/10.1016/j.amc.2023.128156" @default.
• W4382464006 hasPublicationYear "2023" @default.
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