Foreword:
Commonly used convolutions include convolution, atrous convolution, deconvolution and atrous deconvolution. Their calculation formulas are summarized below.
1. Convolution calculation formula
The calculation formula of the convolutional network is:
N=(W-F+2P)/S+1
where
N: output size
W: input size
F: convolution kernel size
P: size of padding value
S: step size
2. Atrous convolution
d = dilation
1. Receptive field calculation. Assuming that the original convolution kernel size is k, then the receptive field size of the convolution kernel after stuffing (d - 1) spaces is:
2. Feature map size calculation. Assuming that the size of the input atrous convolution is i and the step size is s, the calculation formula of the feature map size o after atrous convolution is:
3. Deconvolution calculation formula
in_size = 64
S = 2 # stride
K = 3 # kernel_size
P = 2 # padding
output_padding = 1
out_size = (in_size - 1) * S + K - 2*P + output_padding
print(out_size)4. Atrous deconvolution calculation formula
in_size = 64
S = 2 # stride
K = 3 # kernel_size
P = 2 # padding
D = 2 # dilation
output_padding = 1
out_size = (in_size - 1) * S + K - 2*P/D + output_padding
print(out_size)