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.
Bibliographical noteFunding 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.