2026-04-13T11:45:42Zhttps://recercat.cat/oai/request
oai:recercat.cat:10230/367932025-12-26T11:20:33Zcom_2072_6col_2072_452952
RECERCAT author Zimmer, Veronika Anne author González Ballester, Miguel Ángel, 1973- author Piella Fenoy, Gemma 2019-03-11T14:20:59Z2019 The fusion and combination of images from multiple modalities is important in many applications. Typically, this process consists of the alignment of the images and the combination of the complementary information. In this work, we focused on the former part and propose a multimodal image distance measure based on the commutativity of graph Laplacians. The eigenvectors of the image graph Laplacian, and thus the graph Laplacian itself, capture the intrinsic structure of the image’s modality. Using Laplacian commutativity as a criterion of image structure preservation, we adapt the problem of finding the closest commuting operators to multimodal image registration. Hence, by using the relation between simultaneous diagonalization and commutativity of matrices, we compare multimodal image structures by means of the commutativity of their graph Laplacians. In this way, we avoid spectrum reordering schemes or additional manifold alignment steps which are necessary to ensure the comparability of eigenspaces across modalities. We show on synthetic and real datasets that this approach is applicable to dense rigid and non-rigid image registration. Results demonstrated that the proposed measure is able to deal with very challenging multimodal datasets and compares favorably to normalized mutual information, a de facto similarity measure for multimodal image registration.V. A. Zimmer is supported by the grant FI-DGR 2013 (2013 FI B00159) from the Generalitat de Catalunya. This research was partially funded by the Spanish Ministry of Economy and Competitiveness (TIN2012-35874) © Elsevier https://doi.org/10.1016/j.inffus.2018.09.009 info:eu-repo/semantics/openAccess Image registration Simultaneous diagonalization Laplacian commutator Spectral methods Multimodal image registration using Laplacian commutators info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion