Comments (5)
https://www.cs.dartmouth.edu/~geelong/sphere/
Here is a nice picture on how grid points lying on sphere. The dimension (2 * b_in, 2 * b_in) of the input image is the design of the grid points on the sphere. There are total 2 * b_in * 2 * b_in black dots in the picture.
Such grid point design is the convention of the discrete spherical harmonics transform used in this work.
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Why not? In the MINST example, the projection of the 2D image to spherical image can be considered as a kind of resampling. The projection/resampling done in the MNIST example is not the only way. We should feel free to try different projection/resampling schemes to see which works better.
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Ah, okay. So processing an equirectangular projection would require a resampling of the image?
Equirectangular images are usually (180, 360) resolution--essentially unwrapping the sphere around the vertical axis. So I guess I'd need to resample it so that the latitudinal dimension is upsampled by a factor of 2?
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Okay, thanks for the explanation! I'll explore a bit.
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I thought that the MNIST dataset is projected on the northern hemisphere only, in which case having a square image makes sense. But once one works on the full sphere, then we need to resample since the spherical projection are 180° - 360° as @meder411 said.
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Related Issues (20)
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