Method for fitting third-degree Bezier curves to series of data

Details Method for fitting third-degree Bezier curves to series of data Method for fitting third-degree Bezier curves to series of data

1990-04-20

1993-10-12

Nguyen, Phu K.

Image analysis

Histogram processing

For setting a threshold

395141, 382 46, 345136, 345135, G06F 1562

Patent

active

052533360

ABSTRACT:
In curve fitting with respect to a series of data points representing a figure, control points are set for a parameter in accordance with a start point, an end point, and a passing point, and gradients of the respective points. A gradient of a Bezier curve specified on the basis of the start and end points and the control points is obtained for the parameter. If a difference value between the gradient of the Bezier curve and the gradient of the passing point is within a desired value, the curve specified by the start and end points and the control points for the parameter is determined to be a Bezier curve passing the passing point.

REFERENCES:
patent: 4686634 (1987-08-01), Schrieber
patent: 4943935 (1990-07-01), Sato
patent: 4958272 (1990-09-01), Wake
patent: 4998664 (1991-03-01), Gibson et al.
Computer Aided Geometric Design, 1, (1984) Jan. 1960, "A Survey of Curve and Surface Methods in DAGD", by W. Bohm et al., pp. 12-13.
Graphics Interface '85, pp. 337-341, "Geometric Continuity with Interpolating Bezier Curves", A. Fournier et al., 1985.
Computer Graphics, vol. 17, No. 13, Jul. 1983, pp. 229-239, "Curve-Fitting with Piecewise Parametric Cubics", M. Plass et al., (Xerox Palo Alto).
"A Method for Detecting Corner Points of a Fine-Lined Image", by Koyama et al., The Institute of Electronics and Communication Engineers Technical Report PRL 80-107 (1980).

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