Distance for degree raising and reduction of triangular Bézier surfaces

Abedallah Rababah

doi:10.1016/S0377-0427(03)00432-1

Distance for degree raising and reduction of triangular Bézier surfaces

Abedallah Rababah

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

The problem of degree reduction and degree raising of triangular Bézier surfaces is considered. The L₂ and l₂ measures of distance combined with the least-squares method are used to get a formula for the Bézier points. The methods use the matrix representations of the degree reduction and degree raising.

Original language	English
Pages (from-to)	233-241
Number of pages	9
Journal	Journal of Computational and Applied Mathematics
Volume	158
Issue number	2
DOIs	https://doi.org/10.1016/S0377-0427(03)00432-1
Publication status	Published - Sept 15 2003
Externally published	Yes

Keywords

Computer-aided geometric design
Degree raising
Degree reduction
Generalized Bernstein polynomials
Triangular Bézier surfaces

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(03)00432-1

Cite this

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abstract = "The problem of degree reduction and degree raising of triangular B{\'e}zier surfaces is considered. The L2 and l2 measures of distance combined with the least-squares method are used to get a formula for the B{\'e}zier points. The methods use the matrix representations of the degree reduction and degree raising.",

keywords = "Computer-aided geometric design, Degree raising, Degree reduction, Generalized Bernstein polynomials, Triangular B{\'e}zier surfaces",

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doi = "10.1016/S0377-0427(03)00432-1",

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AU - Rababah, Abedallah

PY - 2003/9/15

Y1 - 2003/9/15

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AB - The problem of degree reduction and degree raising of triangular Bézier surfaces is considered. The L2 and l2 measures of distance combined with the least-squares method are used to get a formula for the Bézier points. The methods use the matrix representations of the degree reduction and degree raising.

KW - Computer-aided geometric design

KW - Degree raising

KW - Degree reduction

KW - Generalized Bernstein polynomials

KW - Triangular Bézier surfaces

UR - https://www.scopus.com/pages/publications/0141625901

UR - https://www.scopus.com/pages/publications/0141625901#tab=citedBy

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DO - 10.1016/S0377-0427(03)00432-1

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AN - SCOPUS:0141625901

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Distance for degree raising and reduction of triangular Bézier surfaces

Abstract

Keywords

ASJC Scopus subject areas

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