##### A short note on Jacobi–Bernstein connection coefficients

Review articleOpen access###### Paweł Woźny - No affiliation found

**2013/10/01**DOI: 10.1016/j.amc.2013.07.029

*Full-length article***Journal:**Applied Mathematics and Computation

##### Abstract:

AbstractFast and efficient methods of evaluation of the connection coefficients between shifted Jacobi and Bernstein polynomials are proposed. The complexity of the algorithms is O(n), where n denotes the degree of the Bernstein basis. Given results can be helpful in a computer aided geometric design, e.g., in the optimization of some methods of the degree reduction of Bézier curves.

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