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3D Manifold Topology Based Medical Image Data Augmentation
Proceedings of The 14th Asian Conference on Machine
Learning, PMLR 189:499-514, 2023.
Abstract
Data augmentation is an effective and universal
technique for improving the generalization
performance of deep neural networks. Current data
augmentation implementations usually involve
geometric and photometric transformations. However,
none of them considers the topological information
in images, which is an important global invariant of
the three-dimensional manifold. In our
implementation, we design a novel method that finds
the generator of the first homology group,
i.e. closed loops cannot shrink to a point, of 3D
image and erases the bounding box of a random
loop. To the best of our knowledge, it is the first
time that data augmentation based on the first
homology group of the three-dimensional image is
applied in medical image augmentation. Our numerical
experiments demonstrate that the proposed approach
outperforms the state-of-the-art method.