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SUMMARYIn this paper, a fuzzy spline interpolation technique is proposed to give a fuzzy model of sampled freehand curves that involve vagueness (associatedwith roughness is drawing) in their positional information. The fuzzy model is an extension of ordinary spline curves. Because the model inherits geometric characteristics from spline curves and can be handled as a fuzzy set, it provides a fuzzy inference approach to the geometric meaning of the drawer's original intention, allowing for the vagueness of the drawn freehand curves. An application of the model to freehand curve segmentation demonstrates the necessity of the method.

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