de Boor-fix functionals and polar forms

Phillip J. Barry

doi:10.1016/0167-8396(90)90005-C

de Boor-fix functionals and polar forms

Phillip J. Barry

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

18 Scopus citations

Abstract

The relationship between the polar form perspective of spline curves [Ramshaw '87a, '87b, '89; de Casteljau '85, '86] and the dual functional viewpoint [de Boor & Fix '73, de Boor & Höllig '87] is explored. An explicit connection between these two formulations is derived, and this link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.

Original language	English (US)
Pages (from-to)	425-430
Number of pages	6
Journal	Computer Aided Geometric Design
Volume	7
Issue number	5
DOIs	https://doi.org/10.1016/0167-8396(90)90005-C
State	Published - Aug 1990
Externally published	Yes

Keywords

B-spline
blossoming
de Boor-Fix dual functionals
knot insertion
polar form

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10.1016/0167-8396(90)90005-C

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abstract = "The relationship between the polar form perspective of spline curves [Ramshaw '87a, '87b, '89; de Casteljau '85, '86] and the dual functional viewpoint [de Boor & Fix '73, de Boor & H{\"o}llig '87] is explored. An explicit connection between these two formulations is derived, and this link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.",

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author = "Barry, {Phillip J.}",

year = "1990",

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journal = "Computer Aided Geometric Design",

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AU - Barry, Phillip J.

PY - 1990/8

Y1 - 1990/8

N2 - The relationship between the polar form perspective of spline curves [Ramshaw '87a, '87b, '89; de Casteljau '85, '86] and the dual functional viewpoint [de Boor & Fix '73, de Boor & Höllig '87] is explored. An explicit connection between these two formulations is derived, and this link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.

AB - The relationship between the polar form perspective of spline curves [Ramshaw '87a, '87b, '89; de Casteljau '85, '86] and the dual functional viewpoint [de Boor & Fix '73, de Boor & Höllig '87] is explored. An explicit connection between these two formulations is derived, and this link is elaborated further through some examples of spline properties provable by both techniques. The relationship of these techniques to knot insertion is also briefly discussed.

KW - B-spline

KW - blossoming

KW - de Boor-Fix dual functionals

KW - knot insertion

KW - polar form

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EP - 430

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 5

ER -

de Boor-fix functionals and polar forms

Abstract

Keywords

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