Jesus Angulo Lopez

Research Director

Keywords

Team

Données et apprentissage automatique

Biography

Jesus Angulo Lopez is a researcher specializing in image processing and deep learning, with particular expertise in mathematical morphology and equivariant neural networks. His work focuses on integrating morphological operators into deep learning architectures, particularly to address issues related to symmetries (rotations, translations, scale changes) and model robustness. He also explores theoretical approaches to generalizing classical morphological operators—such as erosion and dilation—within advanced algebraic frameworks (non-Abelian groups, (max,+) algebra) and their differentiable approximations for use in neural networks. His research includes applications in medical imaging, radar anomaly detection, and texture analysis, while contributing to the mathematical foundations for equivariant and interpretable architectures.

Publication(s)

2025
Group Equivariant Morphological Networks DOI : 10.1137/24M1685766
2024
Riesz Feature Representation: Scale Equivariant Scattering Network for Classification Tasks DOI : 10.1137/23M1584836
2024
Choquet Capacity Networks for Random Point Process Classification and Regression DOI : 10.1007/978-3-031-58665-1_18
2024
Nonlinear Representation Theory of Equivariant CNNs on Homogeneous Spaces Using Group Morphology DOI : 10.1007/978-3-031-57793-2_20
2024
Deep Matrix Profile for Maneuver Classification in Low Earth Orbit Satellite Trajectories DOI : 10.23919/eusipco63174.2024.10715206
2024
Group Equivariant Networks Using Morphological Operators DOI : 10.1007/978-3-031-57793-2_13
2023
Near Out-of-Distribution Detection for Low-Resolution Radar Micro-doppler Signatures DOI : 10.1007/978-3-031-26412-2_24
2023
Moving Frame Net: SE(3)-Equivariant Network for Volumes
2023
GenHarris-ResNet: A Rotation Invariant Neural Network Based on Elementary Symmetric Polynomials DOI : 10.1007/978-3-031-31975-4_12
2022
FULLY TRAINABLE GAUSSIAN DERIVATIVE CONVOLUTIONAL LAYER DOI : 10.1109/ICIP46576.2022.9897734
2022
Learning Grayscale Mathematical Morphology with Smooth Morphological Layers DOI : 10.1007/s10851-022-01091-1
2022
Scale-Equivariant U-Net
2022
Fixed Point Layers for Geodesic Morphological Operations
2022
Learning deep morphological networks with neural architecture search DOI : 10.1016/j.patcog.2022.108893
2022
Learnable Empirical Mode Decomposition based on Mathematical Morphology DOI : 10.1137/21M1417867
2022
Morphological Adjunctions Represented by Matrices in Max-Plus Algebra for Signal and Image Processing DOI : 10.1007/978-3-031-19897-7_17
2022
Morphological Counterpart of Ornstein–Uhlenbeck Semigroups and PDEs DOI : 10.1007/978-3-031-19897-7_14
2022
DIFFERENTIAL INVARIANTS FOR SE(2)-EQUIVARIANT NETWORKS DOI : 10.1109/ICIP46576.2022.9897301
2022
Adaptive Anisotropic Morphological Filtering Based on Co-Circularity of Local Orientations DOI : 10.5201/ipol.2022.397
2022
MorphoActivation: Generalizing ReLU Activation Function by Mathematical Morphology DOI : 10.1007/978-3-031-19897-7_35
2021
Going Beyond p-convolutions to Learn Grayscale Morphological Operators DOI : 10.1007/978-3-030-76657-3_34
2021
Some Open Questions on Morphological Operators and Representations in the Deep Learning Era: A Personal Vision DOI : 10.1007/978-3-030-76657-3_1
2021
Eigenfunctions of Ultrametric Morphological Openings and Closings DOI : 10.1007/978-3-030-76657-3_36
2021
Scale Equivariant Neural Networks with Morphological Scale-Spaces DOI : 10.1007/978-3-030-76657-3_35
2020
From unsupervised to semi-supervised anomaly detection methods for HRRP targets DOI : 10.1109/RadarConf2043947.2020.9266497
2020
Inhomogeneous morphological PDEs for robust and adaptive image shock filters DOI : 10.1049/iet-ipr.2019.0086
2019
Levellings based on spatially adaptive scale spaces using local image features DOI : 10.1049/iet-ipr.2018.5151
2019
Part-based approximations for morphological operators using asymmetric auto-encoders DOI : 10.1007/978-3-030-20867-7_25
2019
Max-plus operators applied to filter selection and model pruning in neural networks DOI : 10.1007/978-3-030-20867-7_24
2019
Hierarchical laplacian and its spectrum in ultrametric image processing DOI : 10.1007/978-3-030-20867-7_3
2019
Minkowski Sum of Ellipsoids and Means of Covariance Matrices DOI : 10.1007/978-3-030-26980-7_12
2018
Multiscale estimation of multiple orientations based on morphological directional openings DOI : 10.1007/s11760-018-1276-y
2018
Tropical and Morphological Operators for Signals on Graphs DOI : 10.1109/ICIP.2018.8451395
2018
Relation between emissivity evolution during annealing and selective oxidation of TRIP steel DOI : 10.1016/j.corsci.2017.12.032
2018
Enhanced EDX images by fusion of multimodal SEM images using pansharpening techniques DOI : 10.1111/jmi.12612
2018
Adaptive morphological filters based on a multiple orientation vector field dependent on image local features DOI : 10.1016/j.cam.2017.05.001
2017
Retinal network characterization through fundus image processing: Significant point identification on vessel centerline DOI : 10.1016/j.image.2017.03.013
2017
Morphological texture description from multispectral skin images in cosmetology DOI : 10.1007/978-3-319-57240-6_38
2017
Non-Negative Sparse Mathematical Morphology DOI : 10.1016/bs.aiep.2017.07.001
2017
preface
2017
Convolution in (max⁡,min⁡)-Algebra and Its Role in Mathematical Morphology DOI : 10.1016/bs.aiep.2017.07.003
2017
Colour normalization of fundus images based on geometric transformations applied to their chromatic histogram DOI : 10.1109/ICIP.2017.8296860
2017
Kernel density estimation on spaces of gaussian distributions and symmetric positive definite matrices DOI : 10.1137/15M1053566
2017
Morphological semigroups and scale-spaces on ultrametric spaces DOI : 10.1007/978-3-319-57240-6_3
2016
Generalised morphological image diffusion DOI : 10.1016/j.na.2015.12.015
2016
Unsupervised clustering of hyperspectral images of brain tissues by hierarchical non-negative matrix factorization
2016
Morphological principal component analysis for hyperspectral image analysis DOI : 10.3390/ijgi5060083
2016
Doppler spectrum segmentation of radar sea clutter by mean-shift and information geometry metric DOI : 10.1109/IRS.2016.7497314
2016
The Irregularity Issue of Total Orders on Metric Spaces and Its Consequences for Mathematical Morphology DOI : 10.1007/s10851-015-0607-7
2016
Kernel density estimation on the siegel space with an application to radar processing DOI : 10.3390/E18110396
2016
A deep spatial/spectral descriptor of hyperspectral texture using scattering transform DOI : 10.1109/ICIP.2016.7533024
2016
A Bayesian approach to linear unmixing in the presence of highly mixed spectra DOI : 10.1007/978-3-319-48680-2_24
2016
Common reduced spaces of representation applied to multispectral texture analysis in cosmetology DOI : 10.1117/12.2212508
2016
Hyperspectral imaging as an analytical tool for thin single and multilayer oxides characterization: A laboratory study DOI : 10.1109/WHISPERS.2016.8071737
2016
Hyperspectral image classification with support vector machines on kernel distribution embeddings DOI : 10.1109/ICIP.2016.7532688
2015
N-ary mathematical morphology DOI : 10.1007/978-3-319-18720-4_29
2015
New spectral representation and dissimilarity measures assessment for FTIR-spectra using unsupervised classification DOI : 10.5220/0005188001720177
2015
Ordering on the probability simplex of endmembers for hyperspectral morphological image processing DOI : 10.1007/978-3-319-18720-4_35
2015
Morphological scale-space operators for images supported on point clouds DOI : 10.1007/978-3-319-18461-6_7
2015
Statistical gaussian model of image regions in stochastic watershed segmentation DOI : 10.1007/978-3-319-25040-3_43
2015
Bagging stochastic watershed on natural color image segmentation DOI : 10.1007/978-3-319-18720-4_36
2015
Histograms of images valued in the manifold of colours endowed with perceptual metrics DOI : 10.1007/978-3-319-25040-3_81
2015
Nonlinear operators on graphs via stacks DOI : 10.1007/978-3-319-25040-3_70
2015
Morphological PDE and dilation/erosion semigroups on length spaces DOI : 10.1007/978-3-319-18720-4_43
2015
Multiscale image analysis based on robust and adaptive morphological scale-spaces DOI : 10.5566/ias.993
2015
Quantization of hyperspectral image manifold using probabilistic distances DOI : 10.1007/978-3-319-25040-3_44
2015
(Max, min)-convolution and mathematical morphology DOI : 10.1007/978-3-319-18720-4_41
2015
Multivariate mathematical morphology for DCE-MRI image analysis in angiogenesis studies DOI : 10.5566/ias.1109
2015
Probability density estimation on the hyperbolic space applied to radar processing DOI : 10.1007/978-3-319-25040-3_80
2014
Riemannian Lp Averaging on Lie Group of Nonzero Quaternions DOI : 10.1007/s00006-013-0432-2
2014
Structure tensor image filtering using riemannian L1 and L∞ center-of-mass DOI : 10.5566/ias.v33.p95-105
2014
Spatially-variant area openings for reference-driven adaptive contour preserving filtering DOI : 10.1109/ICPR.2014.189
2014
Vector ordering and multispectral morphological image processing DOI : 10.1007/978-94-007-7584-8_7
2014
Determination of retinal network skeleton through mathematical morphology
2014
Computing histogram of tensor images using orthogonal series density estimation and riemannian metrics DOI : 10.1109/ICPR.2014.165
2014
Probability density function of object contours using regional regularized stochastic watershed DOI : 10.1109/ICIP.2014.7025965
2014
Conditional toggle mappings: Principles and applications DOI : 10.1007/s10851-013-0429-4
2014
Image adapted total ordering for mathematical morphology on multivariate images DOI : 10.1109/ICIP.2014.7025595
2014
Comparative study on morphological principal component analysis of hyperspectral images DOI : 10.1109/WHISPERS.2014.8077568
2014
Image processing for materials characterization: Issues, challenges and opportunities DOI : 10.1109/ICIP.2014.7025985
2014
Riemannian mathematical morphology DOI : 10.1016/j.patrec.2014.05.015
2014
Advanced statistical matrices for texture characterization: Application to cell classification DOI : 10.1109/TBME.2013.2284600
2014
Liver segmentation in MRI: A fully automatic method based on stochastic partitions DOI : 10.1016/j.cmpb.2013.12.022
2014
Detection of retinal vessel bifurcations by means of multiple orientation estimation based on regularized morphological openings DOI : 10.1007/978-3-319-00846-2_79
2013
Classification of hyperspectral images by tensor modeling and additive morphological decomposition DOI : 10.1016/j.patcog.2012.08.011
2013
On nonlocal mathematical morphology DOI : 10.1007/978-3-642-38294-9_19
2013
Morphological bilateral filtering DOI : 10.1137/110844258
2013
Shrec'13 track: Retrieval on textured 3D models DOI : 10.2312/3DOR/3DOR13/073-080
2013
Stochastic morphological filtering and Bellman-Maslov chains DOI : 10.1007/978-3-642-38294-9_15
2013
Color Representation and Processing in Polar Color Spaces DOI : 10.1002/9781118561966.ch1
2013
A learning framework for morphological operators using counter-harmonic mean DOI : 10.1007/978-3-642-38294-9_28
2013
Color and Multivariate Images DOI : 10.1002/9781118600788.ch11
2013
Mathematical morphology for real-valued images on Riemannian manifolds DOI : 10.1007/978-3-642-38294-9_24
2013
Complete lattice structure of Poincaré upper-half plane and mathematical morphology for hyperbolic-valued images DOI : 10.1007/978-3-642-40020-9_59
2013
Supervised morphology for structure tensor-valued images based on symmetric divergence kernels DOI : 10.1007/978-3-642-40020-9_60
2013
Towards morphological image regularization using the counter-harmonic mean DOI : 10.1007/978-3-642-38294-9_27
2012
Robust RX anomaly detector without covariance matrix estimation DOI : 10.1109/WHISPERS.2012.6874301
2012
Supervised morphological target detection from polarimetric stokes vectors images DOI : 10.1109/WHISPERS.2012.6874334
2012
Segmentation and analysis of retinal vascular tree from fundus images processing
2012
Spectral-spatial classification of hyperspectral data based on a stochastic minimum spanning forest approach DOI : 10.1109/TIP.2011.2175741
2012
Spatially adaptive PDEs for robust image sharpening DOI : 10.1109/ICIP.2012.6467018
2012
Morphological operators for images valued on the sphere DOI : 10.1109/ICIP.2012.6466808
2012
Efficient statistical/morphological cell texture characterization and classification
2012
1-D mathematical morphology for water removal in 1H MR spectroscopy tool
2012
Random projection depth for multivariate mathematical morphology DOI : 10.1109/JSTSP.2012.2211336
2011
Using biophotonics techniques to retrieve prognostic intracellular signatures; [La biophotonique au service de l'identification de marqueurs pronostiques intracellulaires] DOI : 10.1016/j.irbm.2011.01.039
2011
A stochastic minimum spanning forest approach for spectral-spatial classification of hyperspectral images DOI : 10.1109/ICIP.2011.6115664
2011
Aorta segmentation using the watershed algorithm for an augmented reality system in laparoscopic surgery DOI : 10.1109/ICIP.2011.6116211
2011
Morphological bilateral filtering and spatially-variant adaptive structuring functions DOI : 10.1007/978-3-642-21569-8_19
2011
Anisotropic morphological filters with spatially-variant structuring elements based on image-dependent gradient fields DOI : 10.1109/TIP.2010.2056377
2011
Multiscale local multiple orientation estimation using mathematical morphology and B-spline interpolation
2011
Supervised ordering in IRp: Application to morphological processing of hyperspectral images DOI : 10.1109/TIP.2011.2144611
2011
Multiclass ordering for filtering and classification of hyperspectral images DOI : 10.1109/WHISPERS.2011.6080922
2011
Sparse mathematical morphology using non-negative matrix factorization DOI : 10.1007/978-3-642-21569-8_1
2011
Non-linearization of free Schrödinger equation and pseudo-morphological complex diffusion operators DOI : 10.1109/ICIP.2011.6116660
2011
Fast computation of all pairs of geodesic distances DOI : 10.5566/ias.v30.p101-109
2011
Hypercomplex mathematical morphology DOI : 10.1007/s10851-011-0266-2
2011
Advanced statistical matrices for texture characterization: Application to DNA chromatin and microtubule network classification DOI : 10.1109/ICIP.2011.6116401
2011
Mathematical morphology for vector images using statistical depth DOI : 10.1007/978-3-642-21569-8_31
2011
Frequency domain regularization of d-dimensional structure tensor-based directional fields DOI : 10.1016/j.imavis.2011.06.004
2011
Structurally adaptive mathematical morphology based on nonlinear scale-space decompositions DOI : 10.5566/ias.v30.p111-122
2010
Spatial structures detection in hyperspectral images using mathematical morphology DOI : 10.1109/WHISPERS.2010.5594961
2010
Robust iris segmentation on uncalibrated noisy images using mathematical morphology DOI : 10.1016/j.imavis.2009.04.018
2010
Parameters selection of morphological scale-space decomposition for hyperspectral images using tensor modeling DOI : 10.1117/12.850171
2010
Statistical shape modeling using morphological representations DOI : 10.1109/ICPR.2010.863
2010
Pseudo-morphological image diffusion using the counter-harmonic paradigm DOI : 10.1007/978-3-642-17688-3_40
2010
Semi-supervised hyperspectral image segmentation using regionalized stochastic watershed DOI : 10.1117/12.850187
2010
Geometric algebra colour image representations and derived total orderings for morphological operators - Part I: Colour quaternions DOI : 10.1016/j.jvcir.2009.10.002
2010
Comparison of orientated and spatially variant morphological filters vs mean/median filters for adaptive image denoising DOI : 10.1109/ICIP.2010.5651909
2010
A new spatio-spectral morphological segmentation for multi-spectral remote-sensing images DOI : 10.1080/01431161.2010.512314
2010
Morphological processing of hyperspectral images using kriging-based supervised ordering DOI : 10.1109/ICIP.2010.5651305
2010
Structurally adaptive mathematical morphology on nonlinear scale-space representations DOI : 10.1109/ICIP.2010.5651969
2010
Hit-or-miss transform in multivariate images DOI : 10.1007/978-3-642-17688-3_42
2009
Morphological scale-space for hyperspectral images and dimensionality exploration using Tensor modeling DOI : 10.1109/WHISPERS.2009.5289059
2009
Multiscale stochastic watershed for unsupervised hyperspectral image segmentation DOI : 10.1109/IGARSS.2009.5418095
2009
Morphological image distances for hyperspectral dimensionality exploration using kernel-PCA and ISOMAP DOI : 10.1109/IGARSS.2009.5418063
2009
Structure tensor of colour quaternion image representations for invariant feature extraction DOI : 10.1007/978-3-642-03265-3_10
2009
Morphological exploration of shape spaces DOI : 10.1007/978-3-642-03613-2_21
2009
Spatially-variant anisotropic morphological filters driven by gradient fields DOI : 10.1007/978-3-642-03613-2_11
2009
Cyclic mathematical morphology in polar-logarithmic representation DOI : 10.1109/TIP.2009.2013078
2009
From scalar-valued images to hypercomplex representations and derived total orderings for morphological operators DOI : 10.1007/978-3-642-03613-2_22
2008
Classification-driven stochastic watershed. Application to multispectral segmentation DOI : 10.2352/cgiv.2008.4.1.art00101
2008
Contour and detail detection for spatially adaptive color median filtering
2008
Quaternion colour representations and derived total orderings for morphological operators DOI : 10.2352/cgiv.2008.4.1.art00089
2008
Preprocessing and analysis of microarray images from integrated lensless bio-photonic sensors DOI : 10.1117/12.781377
2008
Segmentation and classification of hyperspectral data using watershed DOI : 10.1109/IGARSS.2008.4779432
2008
Spatially-variant directional mathematical morphology operators based on a diffused average squared gradient field DOI : 10.1007/978-3-540-88458-3_49
2008
Filtering, segmentation and region classification by hyperspectral mathematical morphology of DCE-MRI series for angiogenesis imaging DOI : 10.1109/ISBI.2008.4541297
2008
Morphological-based adaptive segmentation and quantification of cell assays in high content screening DOI : 10.1109/ISBI.2008.4541007
2008
Polar modelling and segmentation of genomic microarray spots using mathematical morphology DOI : 10.5566/ias.v27.p107-124
2007
Morphological segmentation of hyperspectral images DOI : 10.5566/ias.v26.p101-109
2007
Modelling and segmentation of colour images in polar representations DOI : 10.1016/j.imavis.2006.07.018
2007
Gradual transition detection for video partitioning using morphological operators DOI : 10.5566/ias.v26.p51-61
2007
Random germs and stochastic watershed for unsupervised multispectral image segmentation DOI : 10.1007/978-3-540-74829-8_3
2007
Application of mathematical morphology to the quantification of in vitro endothelial cell organization into tubular-like structures DOI : 10.1170/T784
2007
Morphological colour operators in totally ordered lattices based on distances: Application to image filtering, enhancement and analysis DOI : 10.1016/j.cviu.2006.11.008
2007
Toxicity assays in nanodrops combining bioassay and morphometric endpoints DOI : 10.1371/journal.pone.0000163
2006
Ontology-based lymphocyte population description using mathematical morphology on colour blood images DOI : 10.1170/T732
2006
Morphological color image simplification by saturation-controlled regional levelings DOI : 10.1142/S0218001406005204
2005
Morphological color processing based on distances. Application to color denoising and enhancement by centre and contrast operators
2005
Mathematical morphology in polar-logarithmic coordinates. Application to erythrocyte shape analysis DOI : 10.1007/11492542_25
2005
Uremia accelerates both atherosclerosis and arterial calcification in apolipoprotein E knockout mice DOI : 10.1681/ASN.2004060495
2005
Automatic quantification of in vitro endothelial cell networks using mathematical morphology
2005
Sevelamer prevents uremia-enhanced atherosclerosis progression in apolipoprotein E-deficient mice DOI : 10.1161/CIRCULATIONAHA105.541854
2004
Mathematical morphology operators for reading radioactivity DNA array images
2003
Automatic analysis of DNA microarray images using mathematical morphology DOI : 10.1093/bioinformatics/btg057
2003
Color segmentation by ordered mergings
2003
Morphological coding of color images by vector connected filters DOI : 10.1109/ISSPA.2003.1224642
2003
Morphological quantification of aortic calcification from low magnification images DOI : 10.5566/ias.v22.p81-89
2003
Automated detection of working area of peripheral blood smears using mathematical morphology DOI : 10.1155/2003/642562
2003
Automatic detection of specular reflectance in colour images using the MS diagram DOI : 10.1007/978-3-540-45179-2_17
2001
Comparative study of vectorial morphological operations in different color spaces DOI : 10.1117/12.444190

Teaching

Image Analysis: From Theory to Practice

Lecturer

The course includes a theoretical presentation on image filtering and segmentation tools in the morning and tutorials in the afternoon. Binary, grayscale, and color images, as well as 2- and 3-dimensional images, are covered. Examples drawn from a wide variety of real-world applications illustrate the capabilities of the tools presented.

Color, Arts, Industry

Course Director

Perceptual and Physical Approaches to Light and Color Practical Exercises on Color Color Reproduction in the Digital Image Processing ChainDigital Image Processing Mathematics of digital color image processing The Color of Minerals and Color Minerals Virtual Reality From Digital Photography to the 1842 Cyanotype Discovering Color Minerals at the Museum of Mineralogy Color in an Industrial Context Group Project Supervised sessions are set aside for work on the group project.

ATHENS - MP08 - Physics and Mechanics of Random Media

Guest Lecturer

Based on a review of advanced experimental techniques for describing microstructure, and on typical results involving fluctuations in the phenomena of plasticity, damage, fracture, and flow in porous media, the basic tools of applied probability and random processes are reviewed. Probabilistic tools for describing random media and models, as well as their simulation, are introduced. The physics and mechanics of random media are first presented from the perspective of approximate solutions to partial differential equations with random coefficients. For example, problems in linear electrostatics in random media are studied using a perturbation expansion of random electric and displacement fields, while the limits of the effective permittivity and elastic moduli are derived from variational principles. This homogenization approach, which can be applied to other physical properties such as permeability or thermal conductivity, is illustrated by third-order bounds. The use of numerical techniques (such as the finite element method) to estimate the homogenized properties of random media based on Monte Carlo simulations is introduced. The limits and numerical techniques are then extended to nonlinear behaviors, such as the plasticity of polycrystals. Given the importance of reliability issues in a wide range of engineering applications, several statistical failure models (brittle, ductile, fatigue) are developed using a probabilistic approach. Course Structure: One week. Lectures (80%) and hands-on computer training (20%) More information at: http://cmm.ensmp.fr/Enseignement/es-physrandmedia.html

PhD supervision

2022 Ensemble model construction automation and hyperparameter optimization MAILLET Vassili
2021 Contributions to unsupervised visual anomaly detection CASAGRANDE BERTOLDO Joao Paulo
2021 Anomaly detection in satellite trajectories using artificial intelligence for space surveillance radar BAUDIER Stéfan
2020 Contributions to Equivariance under Roto-Translations for Deep Learning in Image Processing PENAUD--POLGE Valentin
2019 One-class classification for low-resolution low-supervised Doppler pulse radar target discrimination BAUW Martin
2019 Deep Learning Equivariant Based on Scale Spaces and Moving Frames SANGALLI Mateus
2019 Characterization of the physicochemical properties of steel surfaces by hyperspectral imaging. ZENATI Tarek
2016 Artificial learning for image segmentation CHANG Kaiwen