Cubic subdivision schemes with double knots

Computer Aided Geometric Design, pp. 45-57, 2013.

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Abstract:

We investigate univariate and bivariate binary subdivision schemes based on cubic B-splines with double knots. It turns out that double knots change the behaviour of a uniform cubic scheme from primal to dual. We focus on the analysis of new bivariate cubic schemes with double knots at extraordinary points. These cubic schemes produce C^1...More

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