B-splines, Pólya curves, and duality

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

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish (US)
Pages (from-to)3-21
Number of pages19
JournalJournal of Approximation Theory
Issue number1
StatePublished - Apr 1991
Externally publishedYes

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.


Dive into the research topics of 'B-splines, Pólya curves, and duality'. Together they form a unique fingerprint.

Cite this