Title :
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
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;
Conference_Titel :
Computer Graphics, Imaging and Visualization (CGIV), 2010 Seventh International Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
978-1-4244-7840-8
DOI :
10.1109/CGIV.2010.17
