Frames for tensor field morphology

Abstract

We propose to apply our recently developed frame-based framework for group-invariant morphology to the problem of tensor field morphology. Group invariance (and particularly rotation invariance) have been, and are, motivated to be relevant for filtering tensor fields. This leads to the development of a rotation-invariant frame for tensors, which can be used to easily define rotation-invariant morphological operators on tensor fields. We also show how our method can be used to filter structure tensor fields. © 2013 Springer-Verlag.