Add support for interpolation with 3D altitude #143
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This commit adds support for interpolating datasets of the form (lon, lat, z), with (lon, lat) being 1D variables, and z being z(lon, lat) (a 3D variable). This is accomplished by splitting interpolation into two: first, we perform linear interpolation along the vertical direction, and the bilinear in the horizontal. More specifically, I interpolate the nodal points around the target point onto the same altitude. Then, I perform bilinear interpolation with the interpolated values. This code is hacky and not polished. It runs on GPUs only because we allow scalars. Boundary conditions are not implemented very well and could be imprecise.
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This commit adds support for interpolating datasets of the form (lon, lat, z), with (lon, lat) being 1D variables, and z being z(lon, lat) (a 3D variable). This is accomplished by splitting interpolation into two: first, we perform linear interpolation along the vertical direction, and the bilinear in the horizontal.
More specifically, I interpolate the nodal points around the target point onto the same altitude. Then, I perform bilinear interpolation with the interpolated values.
This code is hacky and not polished. It runs on GPUs only because we allow scalars. Boundary conditions are not implemented very well and could be imprecise.