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Circular Bernstein-Bézier spline approximation with knot removal - MaRDI portal

Circular Bernstein-Bézier spline approximation with knot removal (Q1811619)

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scientific article; zbMATH DE number 1929378
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English
Circular Bernstein-Bézier spline approximation with knot removal
scientific article; zbMATH DE number 1929378

    Statements

    Circular Bernstein-Bézier spline approximation with knot removal (English)
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    17 June 2003
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    A scheme for interpolation with Bernstein-Bézier polynomials on the sphere is proposed. The splines are continuously differentiable. In applications of computer-aided geometric design it is always important to be able to remove knots from a given curve while keeping it within a prescribed tolerance from the original design. This knot removal is addressed in this paper too, and several computational examples are given.
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    splines
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    knot removal
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    circular Bernstein-Bézier polynomials
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    numerical examples
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    interpolation
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    computer-aided geometric design
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