A Class of Totally Positive Blending B-Bases

reportActive / Technical Report | Accession Number: ADP012021 | Open PDF

Abstract:

Totally positive blending bases present good shape preserving properties when they are used in CAGD. Among these bases there exist special bases, called B-bases, which have optimal shape preserving properties. In particular, the corresponding control polygon is nearest to the curve among all the control polygons thus many geometrical properties are similar to the ones of the curve. Examples of totally positive blending B-bases are the Bernstein polynomials and the B-spline basis. Our purpose is to construct new classes of such bases starting from compactly supported totally positive scaling functions.

Author(s):
Gori, Laura ; Pezza, Laura ; Pitolli, Francesca
Author Organization(s):
UNIVERSITA LA SAPIENZA ROME (ITALY) DEPT MEMOMAT
Descriptive Note:
Conference paper
Supplementary Note:
Presented at Intl. Conference on Curves and Surfaces (4th). Held in St. Malo, France, 1-7 Jul 1999. Publ. in Proceedings, v1, Curve and Surface Design, p119-126. This article is from ADA399461 International Conference on Curves and Surfaces (4th), Saint-Malo, France, 1-7 July 1999. Proceedings, Volume 1. Curve and Surface Design
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Monitor Series:
X5
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*BLENDING, *SPLINES(GEOMETRY), COMPUTER AIDED DESIGN, SHAPE, ITALY, POLYGONS
Field(s)/Group(s):
Numerical Mathematics, Theoretical Mathematics
Keyword(s):
COMPONENT REPORT, FOREIGN REPORTS, PROCEEDINGS, SCALING FUNCTIONS
Report Date:
1999 Jan 01
Creation Date:
2002 Mar 20