Conversion of rational B้zier curves into non-rational B้zier curves using progressive iterative approximation

Conference proceedings article

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Publication Details

Author list: Chantakamo A., Dejdumrong N.

Publisher: Hindawi

Publication year: 2013

Start page: 38

End page: 41

Number of pages: 4

ISBN: 9780769550510

ISSN: 0146-9428

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84892654133&doi=10.1109%2fCGIV.2013.16&partnerID=40&md5=f74f41d1330f222c39dd556589b8af45

Languages: English-Great Britain (EN-GB)

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Abstract

This paper presents a method to convert rational B้zier curves into non-rational B้zier curve. Using the proposed method, a series of points are first sampled from the input rational B้zier curve. Then a Progressive Iterative Approximation algorithm is used to calculate for a non-rational B้zier curve that fits the sampling points. Demonstration of using the proposed algorithm to approximate input rational B้zier curves is illustrated. Experimental results show that using more sampling points provides better approximation. However, rendering a B้zier curve with too many control points is time-consuming. The optimal result should provide good approximation using as less sampling points as possible. Quality of the approximation also depend on positions of sampling points. ฉ 2013 IEEE.

Keywords

Non-rational B้zier curve, Progressive iterative approximation