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depth grad, and add test #126

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Test depth grad on xyz and alpha.
Note: I found the initialization of alpha is important:

  1. To optimize the alpha: if there are too many points, the initial alpha value need to be very small.
  2. To optimize the xyz coordinates, the initial alpha value need to be large enough.

Results: Optimize pts alpha only (red are all points, blue are points with high alpha,)
image

Results: Optimize pts coords only
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Comment on lines 629 to 632
alpha_grad_from_depth = (T_i * (depth_i-d_pixel) + 1.0/(1.0-alpha) * \
(depth_w_i - acc_alpha_w_i* d_pixel)) / \
(org_accumulated_alpha+0.00001) * pixel_depth_grad
alpha_grad_from_accumulated_alpha = (T_i- 1.0/(1.0-alpha) * acc_alpha_w_i) * _accumulated_alpha_grad
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@wanmeihuali wanmeihuali Sep 18, 2023

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Please format your code. I haven't looked deep into your formula so I'm not sure if it is correct, but for implementation, it seems to be the same as your formula. Have you gotten it to converge on alpha in some more complex tests? e.g. as an extra loss?

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@chenyuntc chenyuntc Sep 18, 2023

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Formated the code, hopefully it's now easier to understand.

Have you gotten it to converge on alpha in some more complex tests? e.g. as an extra loss?

What do you mean as an "extra loss"? Do you mean train with RGB and depth loss together?

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Yep

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