Constrained multi-degree reduction with respect to Jacobi norms

Handle URI:
http://hdl.handle.net/10754/592755
Title:
Constrained multi-degree reduction with respect to Jacobi norms
Authors:
Ait-Haddou, Rachid; Barton, Michael ( 0000-0002-1843-251X )
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.
KAUST Department:
Visual Computing Center (VCC); Numerical Porous Media SRI Center (NumPor)
Citation:
Constrained multi-degree reduction with respect to Jacobi norms 2015 Computer Aided Geometric Design
Publisher:
Elsevier BV
Journal:
Computer Aided Geometric Design
Issue Date:
31-Dec-2015
DOI:
10.1016/j.cagd.2015.12.003
Type:
Article
ISSN:
01678396
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0167839615001429
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorAit-Haddou, Rachiden
dc.contributor.authorBarton, Michaelen
dc.date.accessioned2016-01-04T06:06:58Zen
dc.date.available2016-01-04T06:06:58Zen
dc.date.issued2015-12-31en
dc.identifier.citationConstrained multi-degree reduction with respect to Jacobi norms 2015 Computer Aided Geometric Designen
dc.identifier.issn01678396en
dc.identifier.doi10.1016/j.cagd.2015.12.003en
dc.identifier.urihttp://hdl.handle.net/10754/592755en
dc.description.abstractWe 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.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0167839615001429en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Aided Geometric Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Aided Geometric Design, 31 December 2015. DOI: 10.1016/j.cagd.2015.12.003en
dc.subjectDegree reductionen
dc.subjectWeighted least squaresen
dc.subjectJacobi normen
dc.subjectHahn orthogonal polynomialsen
dc.titleConstrained multi-degree reduction with respect to Jacobi normsen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputer Aided Geometric Designen
dc.eprint.versionPost-printen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorAit-Haddou, Rachiden
kaust.authorBarton, Michaelen
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