DocumentCode
3315879
Title
Fuzzy set in geometric modeling
Author
Wahab, Abd Fatah ; Ali, Jamaludin Md ; Majid, Ahmad Abd ; Tap, Abu Osman Md
Author_Institution
Dept. of Math., KUSTEM, Malaysia
fYear
2004
fDate
26-29 July 2004
Firstpage
227
Lastpage
232
Abstract
Geometric modeling involving uncertainty of data is the major problem in CAGD. By using the theory of fuzzy set and its properties, the issues of uncertainty can be solved through the concept of fuzzy numbers. We apply fuzzy numbers as uncertainty data and defined a new kind of fuzzy control points. With this type of points we then introduced a fuzzy Bezier curve and fuzzy B-spline. By these definitions, we construct a curve of such fuzzy spline and given an example of fuzzy Bezier curve and fuzzy B-spline in the context of CAGD at the end of this concept papers.
Keywords
computational geometry; curve fitting; fuzzy logic; fuzzy set theory; splines (mathematics); uncertainty handling; CAGD; fuzzy B-spline; fuzzy Bezier curve; fuzzy control points; fuzzy numbers; fuzzy set; geometric modeling; uncertainty data; Context modeling; Data structures; Fuzzy control; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Mathematics; Solid modeling; Spline; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Graphics, Imaging and Visualization, 2004. CGIV 2004. Proceedings. International Conference on
Print_ISBN
0-7695-2178-9
Type
conf
DOI
10.1109/CGIV.2004.1323990
Filename
1323990
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