Warped Convolutional Networks: Bridge Homography to sl(3) algebra by Group Convolution. (arXiv:2206.11657v2 [cs.CV] UPDATED)

Homography has an essential relationship with the special linear group and
the embedding Lie algebra structure. Although the Lie algebra representation is
elegant, few researchers have established the connection between homography and
algebra expression in neural networks. In this paper, we propose Warped
Convolution Networks (WCN) to effectively learn and represent the homography by
SL(3) group and sl(3) algebra with group convolution. To this end, six
commutative subgroups within the SL(3) group are composed to form a homography.
For each …

algebra arxiv bridge convolution homography networks