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Fig. 7


Dihedral equivariant architecture: Kernels with identical colors but different orientation are identical kernels to which a different dihedral operations has been applied. Phase 1: seperation into eight channels, one for every input channel and member of the dihedral group. Phase 2: convolution of the eight channels with eight separate kernels. Each output channel from a Dec layer is the sum of all the input channels convolved by all feature kernels of the layer transformed by one of the dihedral operations. Phase 3: the eight channels are summed, giving a dihedral invariant result.

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