Fast Multiresolution Algorithms for Solving Linear Equations: A Comparative Study. - Francesc Aràndiga; Vicente F. Candela; Rosa Donat (SIAM J. Sci. Comput., 1995)

Multiresolution Based on Weighted Averages of the Hat Function II: Nonlinear Reconstruction Techniques. - Francesc Aràndiga; Rosa Donat; Ami Harten (SIAM J. Sci. Comput., 1998)

Nonlinear multiscale decompositions: The approach of A. Harten. - Francesc Aràndiga; Rosa Donat (Numer. Algorithms, 2000)

Tensor product multiresolution analysis with error control for compact image representation. - Sergio Amat; Francesc Aràndiga; Albert Cohen 002; Rosa Donat (Signal Process., 2002)

Edge adapted nonlinear multiscale transforms for compact image representation. - Francesc Aràndiga; Albert Cohen 002; Manuel Doblas; Basarab Matei (ICIP (1), 2003)

Data compression algorithms with maximum error control. - Francesc Aràndiga; Rosa Donat (ICIP (2), 2003)

Morse description and geometric encoding of DEM data. - Andres Fco. Solé; Vicent Caselles; Guillermo Sapiro; Francesc Aràndiga (ICIP (2), 2003)

Adaptive interpolation of images. - Francesc Aràndiga; Rosa Donat; Pep Mulet (Signal Process., 2003)

Morse description and geometric encoding of digital elevation maps. - Andres Fco. Solé; Vicent Caselles; Guillermo Sapiro; Francesc Aràndiga (IEEE Trans. Image Process., 2004)

Lossless and near-lossless image compression based on multiresolution analysis. - Francesc Aràndiga (ICIP (2), 2005)

Interpolation and Approximation of Piecewise Smooth Functions. - Francesc Aràndiga; Albert Cohen 002; Rosa Donat; Nira Dyn (SIAM J. Numer. Anal., 2005)

Stability Through Synchronization in Nonlinear Multiscale Transformations. - Francesc Aràndiga; Rosa Donat (SIAM J. Sci. Comput., 2007)

Vector cell-average multiresolution based on Hermite interpolation. - Francesc Aràndiga; Antonio Baeza; Rosa Donat (Adv. Comput. Math., 2008)

Design of Multiresolution Operators Using Statistical Learning Tools: Application to Compression of Signals. - Francesc Aràndiga; Albert Cohen 002; Dionisio F. Yáñez (Curves and Surfaces, 2010)

Weighted-Power p Nonlinear Subdivision Schemes. - Francesc Aràndiga; Rosa Donat; Maria Santágueda (Curves and Surfaces, 2010)

Edge detection insensitive to changes of illumination in the image. - Francesc Aràndiga; Albert Cohen 002; Rosa Donat; Basarab Matei (Image Vis. Comput., 2010)

Point-Value WENO Multiresolution Applications to Stable Image Compression. - Francesc Aràndiga; A. M. Belda; Pep Mulet (J. Sci. Comput., 2010)

Analysis of WENO Schemes for Full and Global Accuracy. - Francesc Aràndiga; Antonio Baeza; A. M. Belda; Pep Mulet (SIAM J. Numer. Anal., 2011)

A new class of non-linear monotone Hermite interpolants. - Francesc Aràndiga; Antonio Baeza; Dionisio F. Yáñez (Adv. Comput. Math., 2013)

Lossless and near-lossless image compression based on multiresolution analysis. - Francesc Aràndiga; Pep Mulet; Vicent Renau (J. Comput. Appl. Math., 2013)

Generalized wavelets design using Kernel methods. Application to signal processing. - Francesc Aràndiga; Dionisio F. Yáñez (J. Comput. Appl. Math., 2013)

On the Order of Nonuniform Monotone Cubic Hermite Interpolants. - Francesc Aràndiga (SIAM J. Numer. Anal., 2013)

Learning-based multiresolution transforms with application to image compression. - Francesc Aràndiga; Albert Cohen 002; Dionisio F. Yáñez (Signal Process., 2013)

Non-linear Local Polynomial Regression Multiresolution Methods Using ell ^1 ℓ 1 -norm Minimization with Application to Signal Processing. - Francesc Aràndiga; Pep Mulet; Dionisio F. Yáñez (Curves and Surfaces, 2014)

Cell-average multiresolution based on local polynomial regression. Application to image processing. - Francesc Aràndiga; Dionisio F. Yáñez (Appl. Math. Comput., 2014)

Weights Design For Maximal Order WENO Schemes. - Francesc Aràndiga; M. Carmen Martí; Pep Mulet (J. Sci. Comput., 2014)

Cell average image transform algorithms with exact error control. - Francesc Aràndiga; Pep Mulet; Vicent Renau (Numer. Algorithms, 2015)

A nonlinear algorithm for monotone piecewise bicubic interpolation. - Francesc Aràndiga (Appl. Math. Comput., 2016)

The PCHIP subdivision scheme. - Francesc Aràndiga; Rosa Donat; Maria Santágueda (Appl. Math. Comput., 2016)

Non-consistent cell-average multiresolution operators with application to image processing. - Francesc Aràndiga; Dionisio F. Yáñez (Appl. Math. Comput., 2016)

Non-separable local polynomial regression cell-average multiresolution operators. Application to compression of images. - Francesc Aràndiga; Dionisio F. Yáñez (J. Frankl. Inst., 2016)

Generalizing the ENO-DB2p transform using the inverse wavelet transform. - Francesc Aràndiga; Rosa Donat; José J. Noguera (Numer. Algorithms, 2017)

Third-order accurate monotone cubic Hermite interpolants. - Francesc Aràndiga; Dionisio F. Yáñez (Appl. Math. Lett., 2019)

Adaptive rational interpolation for point values. - Francesc Aràndiga (J. Comput. Appl. Math., 2019)

Adaptive rational interpolation for cell-average. - Francesc Aràndiga; Dionisio F. Yáñez (Appl. Math. Lett., 2020)

General adaptive rational interpolation with maximum order close to discontinuities. - Francesc Aràndiga; Dionisio F. Yáñez (CoRR, 2020)

On the reconstruction of discontinuous functions using multiquadric RBF-WENO local interpolation techniques. - Francesc Aràndiga; Rosa Donat; Lucia Romani; Milvia Rossini (Math. Comput. Simul., 2020)

Monotone cubic spline interpolation for functions with a strong gradient. - Francesc Aràndiga; Antonio Baeza; Dionisio F. Yáñez (CoRR, 2021)

Adaptive interpolation with maximum order close to discontinuities. - Francesc Aràndiga; Dionisio F. Yáñez (Appl. Math. Comput., 2022)

Nonlinear improvements of quasi-interpolanting splines to approximate piecewise smooth functions. - Francesc Aràndiga; Rosa Donat; Sergio López-Ureña (Appl. Math. Comput., 2023)

Nonlinear 2D C1 Quadratic Spline Quasi-Interpolants on Triangulations for the Approximation of Piecewise Smooth Functions. - Francesc Aràndiga; Sara Remogna (Axioms, 2023)

A 2D prediction step using multiquadric local interpolation with adaptive parameter estimation for image compression. - Francesc Aràndiga; Rosa Donat; Daniela Schenone (Appl. Math. Comput., 2023)

ENO and WENO cubic quasi-interpolating splines in Bernstein-Bézier form. - Francesc Aràndiga; Domingo Barrera; Salah Eddargani (Math. Comput. Simul., 2024)

Non-uniform WENO-based quasi-interpolating splines from the Bernstein-Bézier representation and applications. - Francesc Aràndiga; Domingo Barrera; Salah Eddargani; María J. Ibáñez; Juan Bautista Roldán (Math. Comput. Simul., 2024)

Nonlinear quartic quasi-interpolating splines for piecewise smooth function approximation. - Francesc Aràndiga; Paola Lamberti; Sara Remogna (J. Comput. Appl. Math., 2026)