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    System and method of hybrid forward differencing to render bézier splines
    2.
    发明公开
    System and method of hybrid forward differencing to render bézier splines 失效
    混合前向差分方法和系统，用于显示贝塞尔样条曲线。

    公开(公告)号：EP0577131A3

    公开(公告)日：1995-04-12

    申请号：EP93110542.3

    申请日：1993-07-01

    申请人： MICROSOFT CORPORATION

    发明人： Goossen James Andrew ,  Olynyk O. Kirk

    IPC分类号： G06F15/72

    CPC分类号： G06T11/203 ,  G06F17/17

    摘要： A high speed and memory efficient system and method for rendering Bézier curves. The system utilizes a hybrid forward differencing function representing the Bézier curve defined by the Bézier control points and renders the curve with a small number of straight line segments. The system renders the curve in a manner that results in the same Bézier control points that are calculated using the prior art recursive subdivision techniques and rejects line segment approximations that would not be derived from recursive subdivision. The system can start at either end of a Bézier curve and will render the same approximation. The method is readily implemented on a computer and is applicable to Bézier curves of any order.

    System and method of hybrid forward differencing to render bézier splines
    3.
    发明公开
    System and method of hybrid forward differencing to render bézier splines 失效
    HybridesVorwärts-Differenzierungsverfahren und System zur Darstellung von Bezier-Splines-Kurven。

    公开(公告)号：EP0577131A2

    公开(公告)日：1994-01-05

    申请号：EP93110542.3

    申请日：1993-07-01

    申请人： MICROSOFT CORPORATION

    发明人： Goossen James Andrew ,  Olynyk O. Kirk

    IPC分类号： G06F15/72

    CPC分类号： G06T11/203 ,  G06F17/17

    摘要： A high speed and memory efficient system and method for rendering Bézier curves. The system utilizes a hybrid forward differencing function representing the Bézier curve defined by the Bézier control points and renders the curve with a small number of straight line segments. The system renders the curve in a manner that results in the same Bézier control points that are calculated using the prior art recursive subdivision techniques and rejects line segment approximations that would not be derived from recursive subdivision. The system can start at either end of a Bézier curve and will render the same approximation. The method is readily implemented on a computer and is applicable to Bézier curves of any order.

    摘要翻译： 一种用于渲染贝塞尔曲线的高速和记忆效率系统和方法。 该系统利用表示由贝塞尔控制点定义的贝塞尔曲线的混合前向差分函数，并使得具有少量直线段的曲线。 系统以使得使用现有技术的递归细分技术计算的相同贝塞尔控制点的方式呈现曲线，并且拒绝不会从递归细分中导出的线段近似。 系统可以在贝塞尔曲线的两端开始，并且将呈现相同的近似。 该方法很容易在计算机上实现，并且适用于任何顺序的贝塞尔曲线。