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Erratum to: “Conversion and evaluation for two types of parametric surface constructed by NTP bases” [Comput. Math. Appl. 49(2) (2005) 321–329]

✍ Scribed by Kan Itsariyawanich; Natasha Dejdumrong

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 463 KB
Volume: 59
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.07.085

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✦ Synopsis

It is pointed out by Jiang and Wang (2005) [1], that the conversion formula from Bernstein into DP bases is incorrect for all even degrees and the conversion formula from DP into Bernstein bases is incorrect for every degree. Thus, in this paper we give some notes, corrections and new proofs for the relationship between these two NTP bases.

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Conversion and evaluation for two types

Conversion and evaluation for two types of parametric surfaces constructed by NTP bases

✍ Su-Rong Jiang; Guo-Jin Wang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 435 KB

In this paper, a new generalized Ball basis, normalized totally positive (NTP) basis given by Delgado and Pefia, is investigated. The conversion formulae between the basis and the Bernstein basis are derived. We also prove that these formulae not only are valuable for studying the geometric properti