论文信息 - Gram matrix of Bernstein basis: Properties and applications

Gram matrix of Bernstein basis: Properties and applications

This note presents explicit expressions for the inverses of the Gram matrix of the Bernstein basis and its principal submatrices, by taking the advantages of the transformations between the Bernstein basis and the constrained dual Bernstein basis. Using the symmetry property, fast calculation of these matrices and their inverses is achieved. Significant improvements are obtained for applications including polynomial approximation of functions and degree reduction of Bezier curves.

Lizheng Lu | Lizheng Lu

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