Fast algorithm for generating Bernstein-Bézier polynomials (Q1339364)
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scientific article; zbMATH DE number 699117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fast algorithm for generating Bernstein-Bézier polynomials |
scientific article; zbMATH DE number 699117 |
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Fast algorithm for generating Bernstein-Bézier polynomials (English)
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2 April 1995
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The author proposes and discusses a new Monte Carlo type algorithm for generating Bézier-Bernstein (BB) polynomials based on a probabilistic interpretation of them. The computational advantages of the new algorithm are: The execution time \(T_ A\) is independent of \(n\) (the degree of the BB); \(T_ A\) depends linearly on the number of random variables generated to evaluate BB (typically between 12-30); minimal intermediate storage requirements; there is no need to store pretabulated values of polynomials; there are no problems of numerical stability. The algorithm is recommended for solving curve fitting and image processing problems in which processing of a large number of data is necessary.
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Monte Carlo method
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Bézier-Bernstein polynomials
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numerical stability
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curve fitting
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image processing
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