A new univariate basis for curve construction with linear complexity

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Publication Details

Author list: Dejdumrong N.

Publisher: American Scientific Publishers

Publication year: 2013

Journal: Advanced Science Letters (1936-6612)

Volume number: 19

Issue number: 5

Start page: 1358

End page: 1361

Number of pages: 4

ISSN: 1936-6612

eISSN: 1936-7317

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876834358&doi=10.1166%2fasl.2013.4462&partnerID=40&md5=45ff6366cd7f21050fd7c8cc2496cf73

Languages: English-Great Britain (EN-GB)

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Abstract

A new univariate basis for curve modeling is proposed and can be expressed either by a set of polynomials or a set of monomials. Inspired by Bernstein and Wang-Ball blending functions, evaluating a point on this curve can be computed with linear computational efforts by its recursive algorithm. Several essential geometric properties are identified, for example, the endpoint interpolation, the affine invariance, the partition of unity, the convex hull property, and its symmetry. Finally, single and multiple degree elevation formulae are explicitly introduced. ฉ 2013 American Scientific Publishers All rights reserved.

Keywords

Bernstein basis, Linear complexity, Univariate basis