用C语言实现Bezier曲线

以下是C语言实现Bezier曲线的基本步骤：

1. 定义控制点和曲线上的点。

struct Point {
    float x;
    float y;
};

struct BezierCurve {
    struct Point controlPoints[4];
    struct Point curvePoints[1000];
};

2. 编写计算Bezier曲线上点的函数。

struct Point calculateBezierPoint(float t, struct Point p0, struct Point p1, struct Point p2, struct Point p3) {
    float u = 1 - t;
    float tt = t * t;
    float uu = u * u;
    float uuu = uu * u;
    float ttt = tt * t;

    struct Point p;
    p.x = uuu * p0.x + 3 * uu * t * p1.x + 3 * u * tt * p2.x + ttt * p3.x;
    p.y = uuu * p0.y + 3 * uu * t * p1.y + 3 * u * tt * p2.y + ttt * p3.y;

    return p;
}

3. 在主函数中初始化控制点并计算曲线上的点。

int main() {
    struct BezierCurve curve;

    curve.controlPoints[0].x = 0;
    curve.controlPoints[0].y = 0;
    curve.controlPoints[1].x = 100;
    curve.controlPoints[1].y = 200;
    curve.controlPoints[2].x = 200;
    curve.controlPoints[2].y = -200;
    curve.controlPoints[3].x = 300;
    curve.controlPoints[3].y = 0;

    for (int i = 0; i < 1000; i++) {
        float t = (float)i / (float)999;
        curve.curvePoints[i] = calculateBezierPoint(t, curve.controlPoints[0], curve.controlPoints[1], curve.controlPoints[2], curve.controlPoints[3]);
    }

    return 0;
}

4. 最后，使用图形库将Bezier曲线绘制出来。

完成以上步骤后，即可实现Bezier曲线的绘制。