Fuzzy Interpolation Rational Bezier Curve

Author

Wahab, Abd Fatah ; Zakaria, Rozaimi ; Ali, Jamaludin Md

Author_Institution

Dept. of Math., Univ. Malaysia Terengganu, Kuala Terengganu, Malaysia

fYear

2010

fDate

7-10 Aug. 2010

Firstpage

63

Lastpage

67

Abstract

Recently, interpolation methods especially in curves design are widely used for modeling data points. In this paper a new interpolation method for modeling fuzzy data using fuzzy interpolation rational Bezier curves is introduced based on fuzzy set theory. This method is able to model uncertainty data with definition of fuzzy data via fuzzy number concept. The fuzzy interpolation method is modeled using fuzzy interpolation rational cubic Bezier curve (in further will be referred as FIRCBC). For fuzzy n-data cases, segments curve constructed in order to interpolate fuzzy data piece wisely. For the illustration as hypothetical example, FIRCBC has been applied in verification of offline handwriting signature where the signatures become fuzzy cases.

Keywords

data handling; fuzzy set theory; interpolation; curves design; fuzzy data modeling; fuzzy interpolation method; fuzzy interpolation rational cubic Bezier curve; fuzzy number concept; fuzzy set theory; handwriting signature; rationa Bezier curve; segment curve; uncertainty data; Computational modeling; Computers; Data models; Fuzzy control; Fuzzy set theory; Interpolation; Uncertainty; Fuzzy interpolation rational cubic Bezier curve (FIRCBC); Fuzzy rational cubic Bezier curve (FRCBC); Fuzzy set;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Graphics, Imaging and Visualization (CGIV), 2010 Seventh International Conference on

Conference_Location

Sydney, NSW

Print_ISBN

978-1-4244-7840-8

Type

conf

DOI

10.1109/CGIV.2010.17

Filename

5576187