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 | |
| 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.