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  Coordinate conversion and sphere mapping.  (Read 1543 times)
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Offline JCollie

Junior Newbie





« Posted 2012-07-06 13:42:04 »

Hey,

I have some issues with mapping converted coordinates to a sphere. I'm using libnoiseforjava and the jMonkeyEngine.
First my conversion methode:

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   public Vector2f cartesianToGeo(Vector3f position, float sphereRadius)
   {
           sphereRadius = FastMath.sqrt((position.x*position.x)+(position.y*position.y)+(position.z*position.z));
     
           float lat = (float)Math.asin(position.z / sphereRadius) * FastMath.RAD_TO_DEG; //theta
           float lon = (float)Math.atan2(position.y, position.x) * FastMath.RAD_TO_DEG; //phi

           return new Vector2f(lat, lon);
   }


This is the mapping method from libnoiseforjava:

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   public double getValue (double lat, double lon)
   {
      assert (module != null);

      double x, y, z;
      double r = Math.cos(Math.toRadians(lat));
      x = r * Math.cos (Math.toRadians(lon));
      y = Math.sin (Math.toRadians(lat));
      z = r * Math.sin (Math.toRadians(lon));
      return module.getValue (x, y, z);
   }


And here is what I get (using sphere approximation from octahedron):



It looks like two spheres into one another and on the right is the transition between them with a high count of points. My assumption is, that the getValue method expects latitude and longitude in an area from -90 to 90 degrees. My conversion method only returns values from -180 to 180 degrees. That's probably the reason why I get two spheres. First: does anybody agree? Or is there another mistake? Second: Is there an easy way to also convert the new geo coordinates to an area from -90 to 90 degrees. Or a better method that gives values in this area from the beginning? My math skills kinda suck Smiley

Greetings

JCollie
Offline Roquen
« Reply #1 - Posted 2012-07-06 13:49:09 »

What are you trying to do?
Offline JCollie

Junior Newbie





« Reply #2 - Posted 2012-07-06 13:51:23 »

I want to map noise to a sphere. (The module.getValue(x, y, z) method in the mapping method refers to a perlin noise. This function should be fine)
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Offline Roquen
« Reply #3 - Posted 2012-07-06 20:14:26 »

If you're not trying to "warp" noise, then simply sample in cartesian space.  If you want to correct for imperfect spheres (because of tris) then a normalization map will do...or simply compute the correction in the shader.
Offline JCollie

Junior Newbie





« Reply #4 - Posted 2012-07-10 20:00:00 »

What I found out so far about my problem is that ( I didn’t know that) perlin noise creates negative values. Thats why the two objectes ( it’s actually on object, explanation follows) are into one another. The area with the accumulation of points might be the result of small input values to the perlin noise. So it could be the equator or the zero meridian?!
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