Line and arc fitting of a B้zier curve for vector display and plotting devices

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Publication Details

Author list: Kaewsaiha P., Dejdumrong N.

Publisher: American Scientific Publishers

Publication year: 2013

Journal: Advanced Science Letters (1936-6612)

Volume number: 19

Issue number: 5

Start page: 1244

End page: 1248

Number of pages: 5

ISSN: 1936-6612

eISSN: 1936-7317

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876837955&doi=10.1166%2fasl.2013.4503&partnerID=40&md5=4da537807a3af12b23be6fbdde2c00b3

Languages: English-Great Britain (EN-GB)

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Abstract

This paper presents a novel method that models a B้zier curve by using line and arc fitting which can be used for vector graphics display and plotting devices, instead of employing the existing methods that calculate points on the curve recursively. The proposed algorithm subdivides a curve into a set of curve segments and fits each segment with a line or a circular arc. Because lines and arcs span through a set of points in a single step, this method can decrease the number of points involved with the calculation and it can also decrease the computational time. Line and arc inputs are also compatible with almost vector display and plotting devices, including devices that cannot recognize parametric curves. In the proposed method, points on the curve are calculated using a monomial form approach which is more efficient than either the traditional polynomial basis or the de Casteljau's algorithm. ฉ 2013 American Scientific Publishers All rights reserved.

Keywords

Approximation