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| RBF interpolation of Spherical Coord points http://forum.alglib.net/viewtopic.php?f=2&t=1062 |
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| Author: | toejama1 [ Wed Nov 13, 2013 8:38 pm ] |
| Post subject: | RBF interpolation of Spherical Coord points |
Can you use the radial basis functions in ALGlib to interpolate spherical coordinates on the unit sphere I have a bunch of theta, phi coordinates with a density value. If I sample a new data point, not captured in the data but on the sphere, can I use the RBF2d or 3d to give me what the interpolated density value should be? |
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| Author: | godmodder [ Wed Nov 13, 2013 8:58 pm ] |
| Post subject: | Re: RBF interpolation of Spherical Coord points |
Yes you can do this. The sphere is just another 2D parameter space. Just input the samples as regular 2D coordinates into ALGLIB with 0 < elevation < PI/2 and 0 < inclination < PI. An alternative approach is just to stick in the flat 2D cartesian space and parameterize it (http://research.microsoft.com/en-us/um/people/hoppe/sphereparam.pdf). |
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