1995
DOI: 10.1002/scj.4690261008
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A method for modeling freehand curves—The fuzzy spline interpolation

Abstract: 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… Show more

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Cited by 15 publications
(9 citation statements)
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“…13. The fuzzy spline curves in these figures are internal representation models of freehand curves [6]. Each curve represents a freehand plot of the locus of a conical fuzzy point having ambiguity that is proportional to the roughness of the drawing manner.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…13. The fuzzy spline curves in these figures are internal representation models of freehand curves [6]. Each curve represents a freehand plot of the locus of a conical fuzzy point having ambiguity that is proportional to the roughness of the drawing manner.…”
Section: Methodsmentioning
confidence: 99%
“…Fig. 4), with the diameter of its base circle rp k indicating the ambiguity [6]. Although a circular fuzzy model is discretely represented by a conical fuzzy point in Fig.…”
Section: Fscimentioning
confidence: 99%
“…Fourth, the FSCI divides the fuzzy spline curve into one or more segments by detecting stop motions in the drawing using the algorithm proposed in Ref. 16). …”
Section: Identification Process Of Fscimentioning
confidence: 99%
“…We previously proposed the fuzzy spline curve identifier (FSCI) [1,2], which identifies a freehand-input curve as one of seven classes of geometrical curve primitive needed in CAD: linear segment (L), circle (C), circular arc (CA), ellipse (E), elliptic arc (EA), closed freehand curve (FC), and open freehand curve (FO). We have already shown that by using FSCI as the figure recognition engine, freehand input CAD interface [3][4][5][6] and a structural freehand figure recognition system [7] can be transparently constructed.…”
Section: Introductionmentioning
confidence: 99%