%0 Journal Article %T Bi-dimensional multiscale entropy: Relation with discrete Fourier transform and biomedical application %+ Laboratoire Angevin de Recherche en Ingénierie des Systèmes (LARIS) %+ Department of Physiology, School of Medicine of Ribeirao Preto, University of Sao Paulo, Ribeirao Preto, SP, Brazil %+ Department of Computer Science, Institute of Mathematics and Computer Science, University of Sao Paulo, Sao Carlos, SP, Brazil %A Humeau-Heurtier, Anne %A Omoto, Ana Carolina Mieko %A Silva, Luiz E.V. %< avec comité de lecture %Z ISISV %@ 0010-4825 %J Computers in Biology and Medicine %I Elsevier %V 100 %P 36-40 %8 2018-09 %D 2018 %R 10.1016/j.compbiomed.2018.06.021 %K Discrete Fourier transform %K Histological image %K Image processing %K multiscale entropy %K Power spectrum %K rat %Z Life Sciences [q-bio]Journal articles %X The multiscale entropy (MSE1D) measure is now widely used to quantify the complexity of time series. The development of complexity measures for images is also a long-standing goal. Recently, the bi-dimensional version of MSE1D has been proposed (MSE2D) to analyze images. The interpretation of MSE2D curves and the applications to real data are still emergent. Because the coarse-graining step in the MSE2D computation changes the frequency content of the image, we hypothesized a possible dependence between MSE2D and the discrete Fourier transform (DFT). To analyze this dependence, synthetic as well as biomedical images are analyzed. Our results reveal that i) the profile of MSE2D is sensitive to both the amplitude and phase of the DFT; ii) MSE2D could find applications in the biomedical field. This work brings valuable information for MSE2D interpretation and opens possibilities to study images from an entropy point of view through spatial scales. %G English %L hal-02531256 %U https://hal.univ-angers.fr/hal-02531256 %~ UNIV-ANGERS %~ LARIS %~ LARIS-ISISV