Table 1 The list of kernels that are used in \(\mathcal {L}_{C}\), our proposed convolutional loss
From: Improving MR image quality with a multi-task model, using convolutional losses
Name | Kernel |
|---|---|
\(I_{E}\) | \(\left[ {\begin{array}{rrr} 0 &{} 0 &{} 0 \\ 0 &{} 1 &{} 0 \\ 0 &{} 0 &{} 0 \\ \end{array}} \right]\) |
\(I_{PT}\) | \(\left[ {\begin{array}{rrr} -1 &{} -1 &{} -1 \\ 0 &{} 0 &{} 0 \\ 1 &{} 1 &{} 1 \\ \end{array}} \right]\) |
\(I_{PR}\) | \(\left[ {\begin{array}{rrr} 1 &{} 0 &{} -1 \\ 1 &{} 0 &{} -1 \\ 1 &{} 0 &{} -1 \\ \end{array}} \right]\) |
\(I_{S3T}\) | \(\left[ {\begin{array}{rrr} -1 &{} -2 &{} -1 \\ 0 &{} 0 &{} 0 \\ 1 &{} 2 &{} 1 \\ \end{array} } \right]\) |
\(I_{S3R}\) | \(\left[ {\begin{array}{rrr} 1 &{} 0 &{} -1 \\ 2 &{} 0 &{} -2 \\ 1 &{} 0 &{} -1 \\ \end{array}}\right]\) |
\(I_{S5T}\) | \(\left[ {\begin{array}{rrrrr} -2 &{} -2 &{} -4 &{} -2 &{} -2 \\ -1 &{} -1 &{} -2 &{} -1 &{} -1 \\ 0 &{} 0 &{} 0 &{} 0 &{} 0 \\ 1 &{} 1 &{} 2 &{} 1 &{} 1 \\ 2 &{} 2 &{} 4 &{} 2 &{} 2 \\ \end{array} } \right]\) |
\(I_{S5R}\) | \(\left[ {\begin{array}{rrrrr} 2 &{} 1 &{} 0 &{} -1 &{} -2 \\ 2 &{} 1 &{} 0 &{} -1 &{} -2 \\ 4 &{} 2 &{} 0 &{} -2 &{} -4 \\ 2 &{} 1 &{} 0 &{} -1 &{} -2 \\ 2 &{} 1 &{} 0 &{} -1 &{} -2 \\ \end{array} } \right]\) |
\(I_{L3}\) | \(\left[ {\begin{array}{rrr} 0 &{} -1 &{} 0 \\ -1 &{} 4 &{} -1 \\ 0 &{} -1 &{} 0 \\ \end{array} } \right]\) |
\(I_{L5}\) | \(\left[ {\begin{array}{rrrrr} 0 &{} 0 &{} -1 &{} 0 &{} 0 \\ 0 &{} -1 &{} -2 &{} -1 &{} 0 \\ -1 &{} -2 &{} 16 &{} -2 &{} -1 \\ 0 &{} -1 &{} -2 &{} -1 &{} 0 \\ 0 &{} 0 &{} -1 &{} 0 &{} 0 \\ \end{array} } \right]\) |