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

  • US 5,253,336 A
  • Filed: 04/20/1990
  • Issued: 10/12/1993
  • Est. Priority Date: 04/20/1989
  • Status: Expired due to Fees
First Claim
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1. A method of generating and displaying a curved image, comprising the steps of:

  • receiving a curve segment of an image in the form of a series of data points;

    fitting a third-degree Bezier curve to said series of data points; and

    thereby generating a curved image in the form of said third-degree Benzier curve;

    wherein said third-degree Bezier curve fitting step includes the steps of;

    setting parameters representing said curve segment, one parameter being a passing point, said passing point being a data point in the middle of said series of data points;

    calculating two control parameters, for representing said third-degree Bezier curve, from said set parameters;

    calculating a gradient of said third-degree Bezier curve from said set parameters and said calculated two control parameters;

    setting a gradient of said passing point;

    comparing said calculated gradient with said set gradient of said passing point;

    thereby determining whether or not said two control parameters represent said third-degree Bezier curve for said data points; and

    fitting said third-degree Bezier curve to said data points when it is determined that said two control parameters represent said third-degree Bezier curve.

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