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Stationary subdivision for regular nets

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Bézier and B-Spline Techniques

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Abstract

Under a stationary subdivision scheme, a regular control net is transformed into a regular control net whose vertices are affine combinations of the initial control points. The weights of these affine combinations can be given by masks or algebraically by a characteristic polynomial, as in the case of curve algorithms.

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© 2002 Springer-Verlag Berlin Heidelberg

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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Stationary subdivision for regular nets. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_15

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  • DOI: https://doi.org/10.1007/978-3-662-04919-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07842-2

  • Online ISBN: 978-3-662-04919-8

  • eBook Packages: Springer Book Archive

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