FRANCESC ARANDIGA LLAUDES
PDI-Catedratic/a d'Universitat
Knowledge area: APPLIED MATHEMATICS
Department: Mathematics
DESPATX 20 EN LA QUARTA PLANTA DE L'EDIFICI DE LA FACULTAT DE MATEMATIQUES
(9635) 43915
Biography
Professor of Applied Mathematics at the University of Valencia. He received his Ph.D. in Mathematics from this university in 1992. He has regularly spent time in Los Angeles (UCLA), Paris (Université Pierre et Marie Curie), Marseille (École Centrale Marseille). He has authored 3 books. He has published over 40 research articles with more than 25 co-authors in leading international journals on Applied Mathematics. He has directed 6 doctoral theses. His current interests are in Multiresolution Analysis based on nonlinear techniques and their applications.
Subjects taught and teaching methods
Academic training
Journal Publications
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F. Aràndiga ; R. Donat; M. Santágueda
(2016)
The PCHIP subdivision scheme. Applied Mathematics and Computation, 272, pp. 28 - 40
. ISSN: 0096-3003 -
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Aràndiga, Francesc; Noguera, José Jaime
(2016)
Reconstructions that Combine Cell Average Interpolation with Least Squares Fitting. Applied Mathematics & Information Sciences, 10(1), pp. 173 - 184
. ISSN: 1935-0090
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Francesc Aràndiga; Dionisio F. Yáñez
(2019)
Third-order accurate monotone cubic Hermite interpolants. Applied Mathematics Letters, 94, pp. 73 - 79
. ISSN: 0893-9659
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Francesc Aràndiga, Rosa Donat, Daniella Schenone
(2023)
A 2D prediction step using multiquadric local interpolation with adaptive parameter estimation for image compression. Applied Mathematics and Computation, 457(128164)
. ISSN: 0096-3003
Other publications
F. Arandiga, D. Y. Yáñez (2014). On Multiresolution Transforms Based on Weighted-Least Squares Advances in Differential Equations and Applications. SEMA MIMAI Springer Series. . Volume. 4 . (pp. 125 - 135) .
F. Arandiga, J. J. Noguera (2014). Signal Denoising with Harten's Multiresolution Using Interpolation and Least Squares Fitting Advances in Differential Equations and Applications. SEMA MIMAI Springer Series. . Volume. 4 . (pp. 137 - 145) .
Francesc Aràndiga;Pep Mulet;Dionisio F. Yáñez (2015). Non-linear Local Polynomial Regression Multiresolution Methods Using 1-norm Minimization with Application to Signal Processing Curves and Surfaces 2014, Lecture Notes in Computer Science . Volume. 9213 . (pp. 16 - 31) .
Previous Tasks
PROF. ENCARGADO DE CURSO. UNIVERSITAT DE VALENCIA. 01/01/1987 - 30/09/1987.
PROF. ASOCIADO T.C. UNIVERSITAT DE VALENCIA. 01/10/1987 - 30/09/1994.
Titular de Universitat. Universitat de València. 20/10/1994 - 12/04/2010.
Other Achievements
Stays abroad in Research Centers
Activity interests
Multiresolution Analysis.Wavelets. Universitat de Valencia. Universisty of California, Los Angeles.. . (1992).
Image Processing.Non linear approximation and adativity. Universitat de Valencia. University Marie and Pierre Curie Paris. University of Marseille.. . (1998).
Participations in Conferences
D. F. Yañez, F. Aràndiga (2013). Non-consistent multiresolution operators in the cell-average framework. (Invited paper). XXIII CEDYA / XIII CMA Actas del XXIII CEDYA / XIII Congreso de Matemática Aplicada. Universitat Jaume I, Castelló. 2013 . Castelló . SPAIN
J. J. Noguera, F. Aràndiga (2013). Reconstrucción interpolación aproximación para esquemas multiresolutivos à la Harten. (Invited paper). XXIII CEDYA / XIII CMA Actas del XXIII CEDYA / XIII Congreso de Matemática Aplicada. Universitat Jaume I, Castelló. 2013 . Castelló . SPAIN
F. Aràndiga, R. Donat, M. Santágueda (2013). Stability of Weighted-Power$_p$ Interpolatory Subdivision Schemes. (Invited paper). XXIII CEDYA / XIII CMA Actas del XXIII CEDYA / XIII Congreso de Matemática Aplicada. Universitat Jaume I, Castelló. 2013 . Castelló . SPAIN
Francesc Arandiga (2014). A Nonlinear algorithm for monotone piecewise bicubic interpolation. (Communication). Eight International Conference on Mathematicla Methods for Curves and Surfaces, June 12-18 . Paris . FRANCE
Francesc Arandiga and Pep Mulet and Dionisio Félix Yañez (2014). Multiresolution Operators Design using Weighted Norm Approximation. Applicatoion to Compression of Signals. (Communication). Eight International Conference on Mathematicla Methods for Curves and Surfaces, June 12-18 . Paris . FRANCE
Francesc Arandiga and Dionisio Félix Yañez (2014). Non-consistent multiresolution operators with application to image processing. (Communication). First International Conference on Sundividion, Geometric and Algebraic Methods, Isogeometric Analysis and Refinabilitat in Tuscany. SMART 2014. Pontignano, Siena (Italy) September 28- October 1, 2014 . Siena . ITALY
Francesc Arandiga and Rosa Donat and Maria Santágueda (2014). On the stability of nonlinear subdivision schemes by generalized derivatives. (Communication). First International Conference on Sundividion, Geometric and Algebraic Methods, Isogeometric Analysis and Refinabilitat in Tuscany. SMART 2014. Pontignano, Siena (Italy) September 28- October 1, 2014 . Siena . ITALY
Francesc Arandiga (2014). A nonlinear algorithm for monotone bicubic interpolation. (Communication). First International Conference on Sundividion, Geometric and Algebraic Methods, Isogeometric Analysis and Refinabilitat in Tuscany. SMART 2014. Pontignano, Siena (Italy) September 28- October 1, 2014 . Siena . ITALY
Francesc Aràndiga (2015). A 2D Nonlinear Algorithm for Monotone Interpolation. (Communication). 8th International Congres on Industrial and Applied Mathematics (ICIAM 2015) Actas . Beijing . CHINA
Francesc Aràndiga (2016). A 2D nonlinear algorithm for monotone piecewise bicubic interpolatiion. (Invited paper). Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies joing meeting . Barcelona . SPAIN
Projects
ALTA RESOLUCION Y ADAPTATIVIDAD EN MODELOS HIPERBOLICOS Y PROCESAMIENTO DE IMAGENES (Codi sense especificar). 2012 - 2015. Dirección General de Investigación Científica y Tecnologíca. . PI: Pep Mulet Mestre.
METODOS NUMERICOS ADAPTATIVOS PARA PROCESO DE IMAGENES Y MODELOS CON EDP (). 2015 - 2017. Ministerio de Economía y Competividad. Dirección General de Investigación Científica y Técnica.. . PI: Pep Mulet Mestre.
Modelaje matemático del proceso industrial y el desarrollo de un sistema informático para su simulación, a fin de eliminar la tinta impresa adherida a la superficie de plásticos antes del proceso de reciclaje (). 2019 - 2020. Cadel Deinking S.L. . PI: Antonio Baeza Manzanares.
Obtención de una clasificación basada en datos objetivos sobre la calidad de un plástico (). 2020 - 2021. Cadel Deinking S.L. . PI: Francesc Aràndiga Llaudes.
Thesis, minor thesis and research reports
