PROPERTIES OF 2 TYPES OF GENERALIZED BALL CURVES

Authors
Citation
Sm. Hu et al., PROPERTIES OF 2 TYPES OF GENERALIZED BALL CURVES, Computer Aided Design, 28(2), 1996, pp. 125-133
Citations number
16
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Software Graphycs Programming
Journal title
ISSN journal
00104485
Volume
28
Issue
2
Year of publication
1996
Pages
125 - 133
Database
ISI
SICI code
0010-4485(1996)28:2<125:PO2TOG>2.0.ZU;2-B
Abstract
Ball basis was introduced for cubic polynomials by Ball, and was gener alized for polynomials of higher degree by Wang and Said. In this pape r, we investigate degree elevation and reduction, recursive algorithm, enveloping theorem, and Bezier representation of these two generalize d Ball curves. Furthermore, the efficiency of de Casteljau algorithm f or Bezier curves and recursive algorithms for two generalized Ball cur ves is compared.