Non-subsampled Morphological Shearlet Transform Algorithm: A New Image Representation to Promote Structural Details Capturing

A novel algorithm of non-subsampled morphological Shearlet transform (NMST) is put forward here to overcome the drawbacks of Shearlet transform such as the absence of shift-invariance and the ambiguity of captured structural details. In contrast with the traditional discrete Shearlet transform, NMST adopted the undecimated morphological Haar pyramid (UMHP) taking the place of Laplacian Pyramid to realize multiscale decomposition of the source image. UMHP that has a better details capturing ability cancels the subsampling operations, which makes NMST shift-invariant and to improve capturing structural details ability and the sustained ability. Through comparing the experiment results of image fusion, NMST algorithm is proved to be effective in capturing the details.