Visualization of Picture Fuzzy Bézier Curve Interpolation Model with Its Properties
Abstract
This paper proposed and visualized picture fuzzy Bézier curve model by using interpolation method. This
model was presented using picture fuzzy sets theory as a basis and its properties. Based on the concept of picture fuzzy
point, picture fuzzy number and picture fuzzy relation, the picture fuzzy point relation and picture fuzzy control point
relation are defined. The picture fuzzy Bézier curve is created by blending the picture fuzzy control point relation with
the Bernstein basis function. Finally, the picture fuzzy Bézier curve is used to interpolate and visualize the picture fuzzy
data. Some numerical examples and the properties of the picture fuzzy Bézier curve model is also shown.
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