We introduce morphological methods to analyze images of positive semi-definite matrices (ellipsoids), such as diffusion or structure tensors. Morphological operators cannot be directly defined on these objects because they lack a complete lattice structure. Therefore, we extend recent developments in morphological signal processing on graphs. Graphs are constructed based on all the available information, whereas a scalar signal (anisotropy) is processed on these graphs, successfully enhancing structures like vessels and fibers.

This is poster number 29 in Poster Session

Authors:

Blusseau Samy (Centre for Mathematical Morphology, MINES ParisTech, PSL* Research University)

Isabelle Bloch (LTCI, Télécom ParisTech, Université Paris-Saclay)

Yann Gousseau (Telecom ParisTech)

Jesús Angulo (Center for Mathematical Morphology, Départ. de Mathématiques et Systèmes, MINES ParisTech)

Santiago Velasco-Forero (Centre for Mathematical Morphology, MINES ParisTech, PSL* Research University)

Keywords:

image enhancement, image representation, mathematical morphology, signal processing on graphs