Home/ Questions/Q 8664009
In Process

The Archive Base Latest Questions

Editorial Team
  • 0
Asked: 2026-06-12T17:08:11+00:00

From Google Earth I got a Box with coordinates for a picture, like following:

  • 0

From Google Earth I got a Box with coordinates for a picture, like following:

    <LatLonBox>
        <north>53.10685</north>
        <south>53.10637222222223</south>
        <east>8.853144444444444</east>
        <west>8.851858333333333</west>
        <rotation>-26.3448</rotation>
    </LatLonBox>

Now I want to test weather a point intersect with this LatLonBox.
My base idea to check, whether a point intersect with the LatLonBox was, to rotate the point back by the given angle, and then to test whether the point intersect with a regular (not rotated) rectangle.

I tried to calculate the rotation manually:

public static MyGeoPoint rotatePoint(MyGeoPoint point, MyGeoPoint origion, double degree)
{
double x = origion.getLatitude() + (Math.cos(Math.toRadians(degree)) * (point.getLatitude() - origion.getLatitude()) - Math.sin(Math.toRadians(degree)) * (point.getLongitude() - origion.getLongitude()));
double y =  origion.getLongitude()  + (Math.sin(Math.toRadians(degree)) * (point.getLatitude() - origion.getLatitude()) + Math.cos(Math.toRadians(degree))  * (point.getLongitude() - origion.getLongitude()));

return new MyGeoPoint(x, y);

}

public boolean intersect(MyGeoPoint geoPoint)
{   
    geoPoint = MyGeoPoint.rotatePoint(geoPoint, this.getCenter(), - this.getRotation());
    
    return (geoPoint.getLatitude() < getTopLeftLatitude()
            && geoPoint.getLatitude() > getBottomRightLatitude()
                && geoPoint.getLongitude() > getTopLeftLongitude()
                    && geoPoint.getLongitude() < getBottomRightLongitude());
}

And it seems that the results are wrong.

    LatLonBox box = new LatLonBox(53.10685, 8.851858333333333, 53.10637222222223, 8.853144444444444, -26.3448);
    
    MyGeoPoint point1 = new MyGeoPoint(53.106872, 8.852311);
    MyGeoPoint point2 = new MyGeoPoint(53.10670378322918, 8.852967186822669);   
    MyGeoPoint point3 = new MyGeoPoint(53.10652664993972, 8.851994565566875);
    MyGeoPoint point4 = new MyGeoPoint(53.10631650700605, 8.85270995172055);
    
    System.out.println(box.intersect(point1));
    System.out.println(box.intersect(point2));
    System.out.println(box.intersect(point3));
    System.out.println(box.intersect(point4));

The result is true, false, false, true. But it should be 4x true.
Probably I´, making some kind of error in reasoning.
Maybe because the latitude values are getting bigger upwards. But I don´t knwo how to change the formular.

I need some help …

EDIT:
I think my basic idea and formular is right. Also I found similar solutions eg. link and couldn´t find any difference.

So I think the only possible error source is, that the axis are not proportional. So the problem is how to take account of this.

I hope someone has got an idea.

Share

Leave an answer

You must login to add an answer.

Need An Account,

1 Answer

  1. Editorial Team

    The problem was indeed that the axis were not proportional.

    The following method takes care of it.

    public static MyGeoPoint rotatePoint(MyGeoPoint point, MyGeoPoint origion, double degree)
{
double x =  origion.longitude   + (Math.cos(Math.toRadians(degree)) * (point.longitude - origion.longitude) - Math.sin(Math.toRadians(degree))  * (point.latitude - origion.latitude) / Math.abs(Math.cos(Math.toRadians(origion.latitude)));
double y = origion.latitude + (Math.sin(Math.toRadians(degree)) * (point.longitude - origion.longitude) * Math.abs(Math.cos(Math.toRadians(origion.latitude))) + Math.cos(Math.toRadians(degree))   * (point.latitude - origion.latitude));
return new MyGeoPoint(x, y);
}
    • 0