Constrained multi-degree reduction with respect to Jacobi norms

Abstract
We show that a weighted least squares approximation of Bézier coefficients with factored Hahn weights provides the best constrained polynomial degree reduction with respect to the Jacobi L2L2-norm. This result affords generalizations to many previous findings in the field of polynomial degree reduction. A solution method to the constrained multi-degree reduction with respect to the Jacobi L2L2-norm is presented.

Citation
Constrained multi-degree reduction with respect to Jacobi norms 2015 Computer Aided Geometric Design

Publisher
Elsevier BV

Journal
Computer Aided Geometric Design

DOI
10.1016/j.cagd.2015.12.003

Additional Links
http://linkinghub.elsevier.com/retrieve/pii/S0167839615001429

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