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- W2912487834 abstract "Both the 4-point and the uniform cubic B-spline subdivisions double the number of vertices of a closed-loop polygon ^kP and produce sequences of vertices fj and bj respectively. We study the J-spline subdivision scheme Js, introduced by Maillot and Stam, which blends these two methods to produce vertices of the form vj=(1-s)fj+sbj. Iterative applications of Js yield a family of limit curves, the shape of which is parameterized by s. They include four-point subdivision curves (J0), uniform cubic B-spline curves (J1), and uniform quintic B-spline curves (J1.5). We show that the limit curve is at least C^1 when [email protected][email protected]?5.8, C^2 when 0" @default.
- W2912487834 created "2019-02-21" @default.
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- W2912487834 date "2008-10-01" @default.
- W2912487834 modified "2023-09-25" @default.
- W2912487834 title "-splines" @default.
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- W2912487834 doi "https://doi.org/10.1016/j.cad.2008.09.002" @default.
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