Generalizations of fuzzy linguistic control points in geometric design
Control points are geometric primitives that play an important role in designing the geometry curve and surface. When these control points are blended with some basis functions, there are several geometric models such as Bezier, B-spline and NURBS(Non-Uniform Rational B-Spline) will be produced. If...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Institute of Physics
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/ http://irep.iium.edu.my/38062/1/Generalizations_of_Fuzzy_Linguistic_Control_Points_in_Geometric_Design.pdf |
| Summary: | Control points are geometric primitives that play an important role in designing the geometry curve and surface. When these control points are blended with some basis functions, there are several geometric models such as Bezier, B-spline and NURBS(Non-Uniform Rational B-Spline) will be produced. If the control points are defined by the
theory of fuzzy sets, then fuzzy geometric models are produced. But the fuzzy geometric models can only solve the
problem of uncertainty complex. This paper proposes a new definition of fuzzy control points with linguistic terms.
When the fuzzy control points with linguistic terms are blended with basis functions, then a fuzzy linguistic geometric model is produced. This paper ends with some numerical examples illustrating linguistic control attributes of fuzzy geometric models. |
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