Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains

A scheme for constructing orthogonal systems of bivariate polynomials in the Bernstein–Bézier form over triangular domains is formulated. The orthogonal basis functions have a hierarchical ordering by degree, facilitating computation of least-squares approximations of increasing degree (with permane...

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Veröffentlicht in:	Computer aided geometric design 2003-07, Vol.20 (4), p.209-230
Hauptverfasser:	Farouki, Rida T., Goodman, T.N.T., Sauer, Thomas
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Barycentric coordinates Bernstein representation Computer aided design Computer science control theory systems Exact sciences and technology Higher-dimensional simplexes Legendre polynomials Orthogonal polynomials Software Triangular domains
Online-Zugang:	Volltext
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