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Showing 1 to 3 of 3 for “"Bernstein basis"”.
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Improving the Stability of the Recovery of Algebraic Curves via Bernstein Basis Polynomials and Neural Networks
… bivariate polynomials and moments in terms of Bernstein basis polynomials and use them in combination with a polynomial-reproducing, refinable sampling kernel. We show that this is approach is very robust, straightforward to implement, and fast to compute. We also address the same …
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Finite elements for higher-order problems in isogeometric analysis and statistical inference
… The construction of isogeometric smooth spline basis functions is crucial for solving higher-order partial differential equations on meshes with arbitrary topologies. We introduce a simple blending approach that produces smooth blended B-splines, referred to as SB-splines, on unstructured …
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Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra
… the case where the polynomials are expressed in Bernstein bases. We use the numerically stable companion pencil of G. F. Jónsson to compute the roots, and the Hopcroft-Karp bipartite matching method to find the degree of the approximate GCD. We offer some refinements to improve the process. In …