AMI Research Group

Publications

L. Alvarez, C.A. Castaño, L. Mazorra, M. García, K. Krissian, A. Salgado, J. Sánchez. "Variational second order flow estimation for PIV sequences". Experiments in Fluids, 44(2):291-304, October 2008. [PDF]. [URL]

L. Alvarez, and L. Gómez, R. Sendra. "An algebraic approach to lens distortion by line rectification". Journal of Mathematical Imaging and Vision (submitted), 2008. [PDF]

M. Alemán-Flores, P. Alemán-Flores, L. Alvarez, R. Fuentes, J.M. Santana. "Computer vision Techniques for Breast tumor Ultrasound Analysis". The Breast Journal, 14(5):483-486, 2008

M. Alemán-Flores, P. Alemán-Flores, L. Alvarez, R. Fuentes, J.M. Santana. "Filtering, Segmentation and Feature Extraction in Ultrasound Evaluation of Breast Lesions". Informatik Aktuell:168-172, 2008

L. Alvarez, C.A. Castaño, L. Mazorra, M. García, K. Krissian, A. Salgado, J. Sánchez. "Multi-Channel Satellite Image Analysis Using a Variational Approach". Pure and Applied Geophysics, 165(6):1071-1093, 2008. [PDF]

L. Alvarez, J.I. Díaz. "On the retention of the interfaces in some elliptic and parabolic nonlinear problem". Discrete and Continuum Dynamical System (to appear), 2008

L. Alvarez, C.A. Castaño, M.García, K.Krissian, L. Mazorra, A. Salgado, J. Sánchez. "3D motion estimation of fluid flows". FLUID deliverable 4.2, Universidad de Las Palmas de Gran Canaria, december 2007

L. Alvarez, C.A. Castaño, M.García, K.Krissian, L. Mazorra, A. Salgado, J. Sánchez. "Demonstrator on the motion layers estimation method". FLUID deliverable 4.1, Universidad de Las Palmas de Gran Canaria, december 2007

L. Alvarez, R. Deriche, T. Papadopoulo, J. Sánchez. "Symmetrical Dense Optical Flow Estimation with Oclussions Detection". International Journal of Computer Vision, 75(3):371-386, December 2007

L. Alvarez, C.A. Castaño, M. García, K. Krissian, L. Mazorra, A. Salgado, J. Sánchez. "A Variational Approach for 3D Motion Estimation of Incompressible PIV Flows". Scale Space and Variational Methods in Computer Vision, 4485:837-847, May 2007. [PDF]

M. Alemán-Flores, L. Alvarez, V. Caselles. "Texture-Oriented Anisotropic Filtering and Geodesic Active Contours in Breast Tumor Ultrasound Segmentation". Journal of Mathematical Imaging and Vision, 28(1):81-97, May 2007

L. Alvarez, C.A. Castaño, M. García, K. Krissian, L. Mazorra, A. Salgado, J. Sánchez. "3D Motion Estimation using a Combination of Correlation and Variational Methods for PIV". Computer Aided Systems Theory - EUROCAST 2007, 4739:612-620, February 2007. [PDF]

L. Alvarez, C.A. Castaño, M. García, K. Krissian, L. Mazorra, A. Salgado, J. Sánchez. "Second Order Variational Optic Flow Estimation". Computer Aided Systems Theory - EUROCAST 2007, 4739:646-653, February 2007. [PDF]

L. Alvarez, C.A. Castaño, M. García, K. Krissian, L. Mazorra, A. Salgado, J. Sánchez. "Symmetric Optical Flow". Computer Aided Systems Theory - EUROCAST 2007, 4739:676-683, February 2007. [PDF]

L. Alvarez, C. Cuenca, A. Salgado, J. Sánchez. "A Variational Approach to 3D Cylindrical Geometry Reconstruction from Multiple Views". Electronic Letters on Computer Vision and Image Analysis (ELCVIA), 6(2):54-66, 2007. [PDF]

L. Alvarez, C.A. Castaño, L. Mazorra, M. García, K. Krissian, A. Salgado, J. Sánchez. "A new energy based method for 3D Motion estimation of incompressible PIV flows". Computer Vision and Image Understanding (submitted), 2007

L. Alvarez, R. Sendra. "An algebraic approach to lens distortion by line rectification". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 34:1-16, 2007. [PDF]

A. Szantai, E. Mémin, A. Cuzol, N. Papadakis, P. Héas, B. Wieneke, L. Alvarez, F. Becker, P.-W. Lopes. "Comparison of MSG dense atmospheric motion vector fields produced by different methods". Proceeding of 2007 Eumetsat Meteorological Satellite Conference, 2007. [PDF]

L. Alvarez, A. Salgado, J. Sánchez. "Robust Detection and Ordering of Ellipses on a Calibration Pattern". Pattern Recognition and Image Analysis, 17(4):508–522, 2007. [PDF]

M. Alemán-Flores, P. Alemán-Flores, L. Alvarez, R. Fuentes, J.M. Santana. "Shape Analysis for Breast Ultrasound Evaluation". Bildverarbeitung für die Medizin, 2007

M. Alemán-Flores, P. Alemán-Flores, L. Alvarez, R. Fuentes, J.M. Santana. "Shape Analysis for Ultrasound Breast Lesion Evaluation". Informatik Aktuell:76-80, 2007

M. Alemán-Flores, P. Alemán-Flores, L. Alvarez, R. Fuentes, J.M. Santana. "Texture-Based Filtering and Front-Propagation Techniques for the Segmentation of Ultrasound Images". Eurocast 2007, 2007

AMI group. "Extension of generic computer vision techniques for 3D motion estimation of fluid flows". Fluid Milestone 4.2, University of Las Palmas of Gran Canaria, November 2006

AMI group. "Method for motion layers estimation without physical coupling between layers". Fluid Milestone 4.1, University of Las Palmas of Gran Canaria, November 2006

M. Alemán, L. Alvarez, V. Caselles. "Breast Nodule Ultrasound Segmentation through Texture-Based Active Contours". 14th European Conference on Mathematics for Industry (ECMI 2006), July 2006

M. Alemán, P. Alemán, L. Alvarez, R. Fuentes, J.M. Montesdeoca. "Computer-Aided Examination of Sonographic Finding in Breast Nodules". Imaging 2006. International Conference on Imaging Techniques in Subatomic Physics, Astrophysics, Medicine, Biology and Industry, June 2006

A. Salgado, J. Sánchez. "Optical Flow Estimation with Large Displacements: A Temporal Regularizer", Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 33, April 2006. [PDF]

L. Alvarez, C.A. Castaño, M. García, K. Krissian, L. Mazorra, A. Salgado, J. Sánchez. "3D Atmospheric Cloud Structures: Processing and Visualization", 2006

M. Castrillón, E. Delgado, C. Guerra, M. Padrón, Y. Rodríguez, J.P. Suárez, A. Trujillo. "Cavacan: Using Crystal Space in Terrain Visualization". I Crystal Space Conference 2006, 07 2006

M. Castrillón, E. Delgado, C. Guerra, M. Padrón, Y. Rodríguez, J.P. Suárez, A. Trujillo. "El Hierro Virtual: implementación de un vuelo virtual interactivo sobre la isla de El Hierro". XVIII Congreso Internacional de Ingeniería Gráfica, 05 2006

A. Trujillo. "Localización de Contornos con Precisión Sub-pixel en Imágenes Bidimensionales y Tridimensionales". Revista Vector Plus de la Fundación Universitaria de la ULPGC(27):18-26, 07 2006. [PDF]. [URL]

L. Alvarez, C.A. Castaño, L. Mazorra, M. García, K. Krissian, A. Salgado, J. Sánchez. "Satellite image analysis using PDE techniques". Earth Science and Mathematics, 2006. [PDF]

M. Castrillón, E. Delgado, C. Guerra, M. Padrón, Y. Rodríguez, A. Trujillo, J.P. Suárez. "Simulated Flight over El Hierro Island". CGV`06: Computer Graphics and Visualization, inside MCCSIS`06: IADIS Virtual Multi Conference in Computer Science and Information Systems, 05 2006

AMI Group. "A Methodology to Compare Optic Flow Estimation Methods". Draft, AMI. University of Las Palmas de Gran Canaria., December 2005. [PDF]

L. Alvarez, E. González, L. Mazorra. "Fitting ear contour using an ovoid model". 39th IEEE International Carnahan Conference on Security Technology, October 2005. [PDF]

M. Alemán, L. Alvarez, E. González, L. Mazorra, J. Sánchez. "Optic Flow Estimation in Fluid Images I". Cuadernos Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 31:1-25, September 2005. [PDF]

L. Alvarez, C.A. Castaño, M. García, L. Mazorra, A. Salgado, J. Sánchez. "Optic Flow Estimation in Fluid Images II". Cuadernos Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 31:1-25, September 2005. [PDF]

J. Sánchez. "Visión 3D". Draft, Departamento de Informatica y Sistemas. ULPGC, September 2005. [PDF]

L. Alvarez. "Matemáticas y Visión por Ordenador". MATEMATICALIA: Revista digital de divulgación matemática de la real sociedad matemática española I.S.S.N.: 1699-7700, 1(2), Junio 2005. [URL]

M. Alemán, P. Alemán, L. Alvarez, M.B. Esteban, R. Fuentes, J.M. Montesdeoca. "Computerized ultrasound characterization of breast tumors". Computer Assisted Radiology and Surgery (Elsevier International Congress), 1281:1063-1068, 2005. [PDF]

M. Alemán, P. Alemán, L. Alvarez, M.B. Esteban, R. Fuentes, J.M. Santana. "Segmentation and Analysis of Breast Tumors on Ultrasonography". Informatik Aktuell. Bildverarbeitung für die Medizin 2005. Algorithmen, Systeme, Anwendungen:203-207, 2005. [PDF]

M. Alemán, P. Alemán, L. Alvarez, M.B. Esteban, R. Fuentes, J.M. Montesdeoca. "Semiautomatic Snake-based segmentation of solid breast nodules on ultrasonography". Lectures Notes in Computer Science (EuroCast 2005), 3634:467-472, 2005

L. Mazorra. "Técnicas avanzadas en tratamiento de imágenes". Lecture Notes for PHD Course, 2005. [PDF]

Grupo AMI. "Visión de última generación". La Provincia, Diciembre 2005. [PDF]

C.A. Castaño, M.A. Rodríguez, L. Alvarez, C.F. Westin, J. Ruiz. "Anisotropic Interpolation of DT-MRI". MICCAI 04, 2004. [PDF]

M. Alemán, P. Alemán, L. Alvarez, J.M. Santana, R. Fuentes, A. Trujillo. "Computer-Aided Measurement of Solid Breast Tumor Features on Ultrasound Images". Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis. Lecture Notes in Computer Science, 3117:353-364, 2004

M. Alemán, P. Alemán, L. Alvarez, J.M. Santana, R. Fuentes, A. Trujillo. "Computer-Aided Measurement of Solid Breast Tumor Features on Ultrasound Images". Workshop: Computer Vision Approaches to Medical Image Analysis, ECCV., 2004. [PDF]

C.A. Castaño, L. Alvarez, M.A. Rodríguez, J. Ruiz. "Esquema variacional para el filtrado de imágenes médicas tensoriales". URSI 04, 2004. [PDF]

L. Alvarez, A. Salgado, J. Sánchez. "Robust Detection and Ordering of Ellipses on a Calibration Pattern". Cuadernos Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 29:1-26, 2004. [PDF]

M. Alemán, P. Alemán, J.M. Santana, R. Fuentes, L. Álvarez, A. Trujillo. "Técnicas Computacionales para el Apoyo al Diagnóstico Precoz del Cáncer de Mama en Ecografía". V Jornadas Canarias de Oncología, II Conferencia Atlántica del Cáncer, 02 2004

M. Alemán, L. Alvarez. "Video Segmentation through Multiscale Texture Analysis". Lecture Notes in Computer Science, 3211(2):339-346, 2004. [PDF]

L. Alvarez, J. Esclarín, A. Trujillo. "A model based edge location with subpixel precision". IWCVIA 03: International WorkShop on Computer Vision and Image Analysis:29-32, December 2003. [PDF]

L. Alvarez, C. Cuenca, A. Salgado, J. Sánchez. "A variational approach to 3D geometry reconstruction from two or multiple views". IWCVIA 03: International WorkShop on Computer Vision and Image Analysis:79-84, December 2003. [PDF]

L. Alvarez, C. Cuenca, A. Salgado, J. Sánchez. "AmiCam: A Video Processing Software for Combining Real and Virtual Scenes". IWCVIA 03: International WorkShop on Computer Vision and Image Analysis:93-99, December 2003. [PDF]

L. Alvarez, L. Mazorra, F. Santana. "MultiScale Analysis and Shape Representation". IWCVIA 03: International WorkShop on Computer Vision and Image Analysis:23-28, December 2003. [PDF]

M. Alemán, L. Alvarez. "Multiscale Analysis of Natural Textures". IWCVIA 03: International WorkShop on Computer Vision and Image Analysis:85-92, December 2003. [PDF]

L. Alvarez, K. Baños, C. Cuenca, J. Esclarín, J. Sánchez. "Model of Vessels for the 3D Reconstruction". International Conference on Mathematics and Engineering techniques in medicine and biological sciences (METMBS 2003):410-416, June 2003. [PDF]

L. Alvarez, C. Cuenca, J. Sánchez. "Regularization of 3D Cylindrical Surfaces". Lectures Notes in Computer Science (IbPRIA), 2652:37-44, June 2003. [PDF]

L. Alvarez, C. Cuenca, J. Sánchez. "Regularizing a set of unstructured 3D points from a sequence of stereo images". Lectures Notes in Computer Science (Scale Space 2003), 2695:449-463, June 2003. [PDF]

M. Alemán, L. Alvarez. "Texture Classification through Multiscale Orientation Histogram Analysis". Lectures Notes in Computer Science (Scale Space), 2695:479-493, June 2003. [PDF]

L. Alvarez, K. Baños, C. Cuenca, J. Esclarín, J. Sánchez. "3D Reconstruction from a vasculature tree model". EuroCast 2003:105-106, 2003. [PDF]

M. Alemán, P. Alemán, L. Alvarez, J.M. Santana, R. Fuente, A. Trujillo. "Computational techniques for the support of breast tumor diagnosis on ultrasound images". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 27:1-12, 2003. [PDF]

M. Alemán, L. Alvarez. "Fourier analysis of orientation hystograms for texture classification". Third IASTED International Conference on Visualization, Imaging, and Image Processing, II:662-667, 2003. [PDF]

M. Alemán, L. Alvarez, R. Moreno. "Frecuency analysis of contour orientation functions for shape representation and motion analysis". EuroCast 2003:110-112, 2003

M. Alemán-Flores, L. Alvarez, R. Moreno. "Frequency analysis of contour orientation functions for shape representation and motion analysis". Lecture notes in computer sciences, 2809:616-626, 2003

L. Alvarez. "Las Matemáticas y La Visión por Ordenador". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 23:1-13, 2003. [PDF]

L. Alvarez, I. Díaz. "The waiting time property for parabolic problems trough the nondiffusion of support for the stationary problems". Revista de la Real Academia de Ciencias, Serie A : Matemáticas (RACSAM), 97(1):83-88, 2003. [PDF]

L. Alvarez, C. Cuenca, A. Salgado, J. Sánchez. "Video Sequence Calibration and Applications". Third IASTED International Conference on Visualization, Imaging, and Image Processing, II:838-842, 2003. [PDF]

L. Alvarez, R. Deriche, J. Sánchez, J. Weickert. "Dense disparity map estimation respecting image discontinuities: A PDE and scale-space based approach". Journal of visual communication and image representation, 13(1-2):3-21, 2002

L. Alvarez, A.P. Blanc, L. Mazorra, F. Santana. "Geometric Invariant Shape Representation using Morphological Multiscale Analysis and applications to shape representation". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 19:1-35, 2002

L. Alvarez, A.P. Blanc, L. Mazorra F. Santana. "Geometric flows and invariant shape representation". TMR Meeting Viscosity Solutions and Applications 2002, 2002

L. Alvarez, D. Deriche, T. Papadopoulo, J. Sánchez. "Symmetrical Dense Optical Flow Estimation with Occlusions Detection". European Conference in Computer Vision (ECCV 2002):721-735, 2002. [PDF]

L. Alvarez, C. Cuenca, L. Mazorra, F. Santana. "Applications of Morphological Multiscale Analysis to Shape Representation". Applied Mathematics in our Changing World (First SIAM-EMS Conference). Abstract, September 2001. [PDF]. [URL]

M. Alemán, L. Alvarez, R. Moreno. "Modified Newton Filters for Edge Orientation Estimation and Shape Representation". IASTED International Conference SIGNAL PROCESSING, PATTERN RECOGNITION & APPLICATIONS:27-32, July 2001. [PDF]

L. Alvarez, C. Cuenca, L. Mazorra. "Morphological Corner Detection. Application to Camera Calibration". IASTED International Conference SIGNAL PROCESSING, PATTERN RECOGNITION & APPLICATIONS:21-26, July 2001. [PDF]. [URL]

L. Alvarez. "Computer Vision and Image Processing in Environmental Research". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 14:1-16, February 2001

L. Alvarez, A.P. Blanc, L. Mazorra, F. Santana. "Geometric Flows and Global Invariant Signatures". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 15:1-23, February 2001. [PDF]

L. Alvarez, L. Mazorra, F. Santana. "Geometric Invariant Shape Representation using Morphological Multiscale Analysis". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 16:1-20, February 2001. [PDF]

L. Alvarez, K. Krissian, A. Trujillo. "Invariant Computation of Differential Characteristics in 3D images". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 13:1-14, February 2001. [PDF]

A. Trujillo, K. Krissian. "AMILab, a 2D/3D Image Processing Software". ICCV`01: VIII IEEE International Conference on Computer Vision, 07 2001

L. Alvarez, C. Cuenca. "Calibración de múltiples cámaras utilizando objetos de calibración esféricos". CAEPIA 2001:1281-1291, 2001. [PDF]

M. Alemán, L. Alvarez, R. Moreno. "Modified Newton Filters for Edge Orientation Estimation, Shape Representation and Motion Analysis". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 17:1-30, 2001. [PDF]

A. Trujillo. "Sub-pixel Location of Edges based on an Invariant Gradient Vector Field Estimation". IX Spanish Symposium on Pattern Recognition and Image Processing, 05 2001

L. Alvarez, J. Sánchez. "Reconstrucción 3-D a partir de un par estéreo de imágenes en color utilizando ecuaciones en derivadas parciales". X Congreso Español de Informática Gráfica, Junio 2000. [PDF]. [URL]

L. Alvarez, J. Sánchez. "3-D Geometry reconstruction using a color image stereo pair and partial differential equations". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas, 6:1-26, 2000. [PDF]. [URL]

L. Alvarez. "Análisis Multiescala y Aplicaciones". Draft, Departamento de Informatica y Sistemas. ULPGC, 2000. [PDF]

L. Alvarez, J. Weickert, J. Sánchez. "Reliable Estimation of Dense Optical Flow Fields with Large Displacements". International Journal of Computer Vision, 39(1):41-56, 2000. [PDF]

L. Alvarez, R. Deriche, F. Santana. "Recursivity and PDEs in Image Processing". Cuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas Nº 0001. Technical Report, Universidad de Las Palmas de G.C., October 1999. [PDF]

L. Alvarez, J. Esclarín, M. Lefebure, J. Sánchez. "A PDE model for computing the Optical Flow". CEDYA XVI, Universidad de Las Palmas de Gran Canaria:1349-1356, September 1999. [PDF]

L. Alvarez, J. Sánchez. "Sobre algunos problemas reales en visión por ordenador que conducen a sistemas de ecuaciones algebraicos". EACA 1999, Universidad de La Laguna:123-132, September 1999. [PDF]

L. Alvarez, J. Sánchez. "Sobre un problema de optimización no-lineal en visión estereoscópica. Aspectos computacionales". CEDYA XVI, Universidad de Las Palmas de Gran Canaria:1357-1364, September 1999. [PDF]

L. Alvarez, J. Weickert, J. Sánchez. "A Scale-Space Aproach to Nonlocal Optical Flow Calculations". Lectures Notes in Computer Science Nº 1682 (ScaleSpace 1999):235-246, 1999

L. Alvarez, F. Santana. "Ecuaciones en derivadas parciales y tratamiento de imágenes". Technical Report, Departamento de Informatica y Sistemas. ULPGC, 1999. [PDF]

L. Álvarez, J. Carreira, O. Chau, J. Esclarín, M. Maynar, A. Trujillo, E. González. "Edge Detection and Enhancement in Angiographic Images obtained with Carbon Dioxide". CARS`99: Computer Assisted Radiology and Surgery, 1999

L. Alvarez, J. Esclarín, E. González, A. Trujillo. "Edge detection using level set from the quantization". International Workshop on Computer Aided Systems Theory and Technology, 1999

L. Alvarez, Y. Gousseau, J.M. Morel. "Scales in Natural Images and a Consequence on their Bounded Variation Norm". Lectures Notes in Computer Science Nº 1682 (ScaleSpace 1999):247-258, 1999. [PDF]

L. Alvarez, Y. Gousseau, J.M. Morel. "The size of objects in natural and artificial images". Advances in imaging and electron physics, 111:167-242, 1999

A. Trujillo. "Thin Edge Detector". ICIAP`99: X International Conference on Image Analysis and Processing, 09 1999

A. Trujillo, A. Medina. "WinMegaWave, un entorno para el tratamiento de imágenes en Windows". IV Jornadas Nacionales de Informática, 07 1998

A. Trujillo, E. González. "XMegaWave, an Image Processing Environment". CVPR`98: 1998 IEEE Computer Vision and Pattern Recognition Conference, 06 1998

L. Alvarez, F. Morales. "Affine morphological multiscale analysis of corners and multiple junctions". International Journal of Computer Vision, 25(2):95-107, 1997

L. Álvarez, J. Esclarín, L. Mazorra, A. Trujillo, E. González. "Aplicaciones del cuantificador óptimo al tratamiento de imágenes". XXVI Reunión bienal R.S.E.F., 04 1997

L. Alvarez, J. Esclarín, A. Trujillo. "Edge Detection using quantization". VII congreso nacional de reconocimiento de formas y analisis de imagenes, 1997

L. ALvarez, J. Esclarín, E. González, L. Mazorra. "Image enhancement using an optimun quantizer". Lecture Notes in Computer Science, 133:444-452, 1997

L. Alvarez, J. Esclarín, A. Trujillo. "Obtaining optimum gray-levels". VII congreso nacional de reconocimiento de formas y analisis de imagenes, 1997

L. Alvarez, L. Mazorra, F. Santana. "Problemas de transición de fases y ecuaciones diferenciales geométricas". XXVI Reunión bienal R.S.E.F., 1997

L. Lucido, R. Deriche, L. Alvarez, V. Rigaud. "Sur quelques schemas numeriques de resolution déquations aux derivees partielles pour le traitement d`images". INRIA, 3192:1-95, 1997

L. Alvarez. "Images and PDEs". 12th International Conference on analysis and optimization of Systems. Images, Wavelets and PDEs, 1996

L. Alvarez, L. Mazorra, F. Santana. "Digital Image Restoration and Enhancement". EuroCast 1995, 1995

L. Alvarez, J. Esclarín. "Image Quantization by Nonlinear Smoothing". SPIE 1995, Investigate and Trial Image Processing, 1995

L. Alvarez, J. Esclarín. "Image Quantization by Nonlinear Smoothing". Second European Workshop on Image Processing and Mean Curvature Motion, 1995

L. Alvarez, L. Mazorra, F. Santana. "Image Restoration Scale Space". SPIE 1995, Investigate and Trial Image Processing, 1995

L. Alvarez, L. Mazorra, F. Santana. "Image Restoration Scale Space". Second European Workshop on Image Processing and Mean Curvature Motion, 1995

L. Alvarez, L. Mazorra. "Signal and Image Restoration using Shock Filters and Anisotropic Diffusion". Siam J. Numer. Anal., 31(2):590-605, April 1994. [PDF]

L. Alvarez, J.M. Morel. "A Morphological Approach to Multiscale Analysis. From Principles to equations". Geometry-Driven Diffusion in Computer Vision ISBN: 0-7923-3087-0:229-254, 1994

L. Alvarez, E. González, F. Morales, A. Trujillo. "Técnicas de antialiasing utilizando filtros no-lineales. Implementación en XMegaWave". IV Congreso de informatica grafica, 1994

A. Trujillo, E. González. "XMegaWave, un entorno para tratamiento de imágenes". URSI`94: IX Simposium Nacional de la Unión Científica Internacional de Radio, 09 1994

L. Alvarez, F. Guichard, P-L. Lions, J-M. Morel. "Axioms and Fundamental Equations of Image Processing". Archive for rational mechanics and analysis, 123(3):199-257, 1993. [PDF]

L. Alvarez, E. González, A. Trujillo. "Deformación de superficies usando ecuaciones en derivadas parciales". III Congreso de informática gráfica, 1993

L. Alvarez, J.I. Díaz. "On the initial growth of interfaces in reaction-diffusion equations with strong absorption". Proceed. Royal Soc. of Edinburgh, 123(5):803-817, 1993

L. Alvarez, J. Esclarín. "Un modelo de cuantificación de imágenes". CEDYA, 1993

L. Alvarez, P-L. Lions, J-M. Morel. "Image Selective Smoothing and Edge Detection by Nonlinear Diffusion II". Siam J. Numer. Anal., 29(3):845-866, June 1992. [PDF]

L. Alvarez. "Anisotropic Diffusion". Workshop on Modelisations Mathematiques pour le traitement d`images, 1992

L. Alvarez, F. Guichard, P.L. Lions, J.M. Morel. "Axioms and fundamental equations of image processing. Multiscale Analysis and PDE". Comptes rendus de l`academie sciences serie I - mathematique, 315(3):135-138, 1992

L. Alvarez, F. Guichard, P.L. Lions, J.M. Morel. "Axioms and new operators of mathematical morphology". Comptes rendus de l`academie sciences serie I - mathematique, 315(3):265-268, 1992

L. Alvarez, F. Guichard, P.L. Lions, J.M. Morel. "Fundamental eqations of multiscale analysis of movies". Comptes rendus de l`academie sciences serie I - mathematique, 315(11):1145-1148, 1992

L. Alvarez, J.I. Díaz. "Sufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear convection processes". Journal of Mathematical Analysis and Applications, 155(2):378-392, 1991

L. Alvarez. "On the behaviour of the free boundary of some nonhomogeneous elliptic problems". Applicable Analysis, 36:131-144, 1990

L. Alvarez, J.I. Díaz, R. Kersner. "On the initial behaviour of the interfaces in nonlinear diffusion convection processes". Colloquium on Free Boundary Problems: Theory and Applications, 1987

L. Alvarez, J.I. Díaz. "un criterio de comparación en masa para la ecuación de los medios porosos con convección". CEDYA, 1987

L. Alvarez, J.I. Díaz. "On the behaviour near the free boundary of the solutions of some nonhomogeneus elliptic problems". CEDYA, 1986

Grupo AMI. "Una Imagen en números". El Digital ULPGC. [URL]