conv2d

deepinv.physics.functional.conv2d(x, filter, padding='valid', correlation=False)

A helper function performing the 2d convolution of images x and filter.

The adjoint of this operation is deepinv.physics.functional.conv_transpose2d()

Parameters:

• x (torch.Tensor) – Image of size (B, C, W, H).

• filter (torch.Tensor) – Filter of size (b, c, w, h) where b can be either 1 or B and c can be either 1 or C. Filter center is at (hh, ww) where hh = h//2 if h is odd and hh = h//2 - 1 if h is even. Same for ww.

• correlation (bool) – choose True if you want a cross-correlation (default False)

If b = 1 or c = 1, then this function supports broadcasting as the same as numpy. Otherwise, each channel of each image is convolved with the corresponding kernel.

Parameters:

padding (str) – (options = valid, circular, replicate, reflect, constant) If padding = 'valid' the output is smaller than the image (no padding), otherwise the output has the same size as the image. constant corresponds to zero padding or same in torch.nn.functional.conv2d()

Returns:

(torch.Tensor) : the output

Return type:

Tensor