B-splines, Pólya curves, and duality

Phillip J. Barry; Ronald N. Goldman; Tony D. DeRose

doi:10.1016/0021-9045(91)90109-N

B-splines, Pólya curves, and duality

Phillip J. Barry, Ronald N. Goldman, Tony D. DeRose

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

4 Scopus citations

Abstract

Local duality between B-splines and Pólya curves is examined, mostly from the viewpoint of computer-aided geometric design. Certain known results for the two curve types are shown to be related. A few new results for Pólya curves and a curve scheme related to B-splines also follow from these investigations.

Original language	English (US)
Pages (from-to)	3-21
Number of pages	19
Journal	Journal of Approximation Theory
Volume	65
Issue number	1
DOIs	https://doi.org/10.1016/0021-9045(91)90109-N
State	Published - Apr 1991
Externally published	Yes

Bibliographical note

Funding Information:
This work was supported in part by CDC sponsored research grant 8X101 and DOE Grant Contract DE-AC02-85ER12046. The authors wish IO thank Dr. Charles Micchelli of IBM T. J. Watson Research Center for suggesting that E-splines and Pblya curves may be linked via Marsden’s Lemma.

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10.1016/0021-9045(91)90109-N

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title = "B-splines, P{\'o}lya curves, and duality",

abstract = "Local duality between B-splines and P{\'o}lya curves is examined, mostly from the viewpoint of computer-aided geometric design. Certain known results for the two curve types are shown to be related. A few new results for P{\'o}lya curves and a curve scheme related to B-splines also follow from these investigations.",

author = "Barry, {Phillip J.} and Goldman, {Ronald N.} and DeRose, {Tony D.}",

note = "Funding Information: This work was supported in part by CDC sponsored research grant 8X101 and DOE Grant Contract DE-AC02-85ER12046. The authors wish IO thank Dr. Charles Micchelli of IBM T. J. Watson Research Center for suggesting that E-splines and Pblya curves may be linked via Marsden{\textquoteright}s Lemma.",

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doi = "10.1016/0021-9045(91)90109-N",

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AU - Goldman, Ronald N.

AU - DeRose, Tony D.

N1 - Funding Information: This work was supported in part by CDC sponsored research grant 8X101 and DOE Grant Contract DE-AC02-85ER12046. The authors wish IO thank Dr. Charles Micchelli of IBM T. J. Watson Research Center for suggesting that E-splines and Pblya curves may be linked via Marsden’s Lemma.

PY - 1991/4

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N2 - Local duality between B-splines and Pólya curves is examined, mostly from the viewpoint of computer-aided geometric design. Certain known results for the two curve types are shown to be related. A few new results for Pólya curves and a curve scheme related to B-splines also follow from these investigations.

AB - Local duality between B-splines and Pólya curves is examined, mostly from the viewpoint of computer-aided geometric design. Certain known results for the two curve types are shown to be related. A few new results for Pólya curves and a curve scheme related to B-splines also follow from these investigations.

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B-splines, Pólya curves, and duality

Abstract

Bibliographical note

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