java - 捕捉点到一条线

Question

我有两个 GPS 坐标，它们连接在一起形成一条线。我还有一个 GPS 点，它靠近但从未完全在线上。我的问题是，如何找到沿线到给定点最近的点？

Answer 1

Game Dev has an answer to this ，它在 C++ 中，但应该很容易移植。哪个CarlG有kindly done (希望他不介意我转发):

public static Point2D nearestPointOnLine(double ax, double ay, double bx, double by, double px, double py,
        boolean clampToSegment, Point2D dest) {
    // Thanks StackOverflow!
    // https://stackoverflow.com/questions/1459368/snap-point-to-a-line-java
    if (dest == null) {
        dest = new Point2D.Double();
    }

    double apx = px - ax;
    double apy = py - ay;
    double abx = bx - ax;
    double aby = by - ay;

    double ab2 = abx * abx + aby * aby;
    double ap_ab = apx * abx + apy * aby;
    double t = ap_ab / ab2;
    if (clampToSegment) {
        if (t < 0) {
            t = 0;
        } else if (t > 1) {
            t = 1;
        }
    }
    dest.setLocation(ax + abx * t, ay + aby * t);
    return dest;
}