Point Values Hermite Multiresolution for Non-smooth Noisy Signals. - I. Ali; Sergio Amat; Juan Carlos Trillo (Computing, 2006)

Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing. - Sergio Amat; Rosa Donat; Jacques Liandrat; Juan Carlos Trillo (Found. Comput. Math., 2006)

A fully adaptive multiresolution scheme for image processing. - Sergio Amat; Rosa Donat; Jacques Liandrat; Juan Carlos Trillo (Math. Comput. Model., 2007)

On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. - Sergio Amat; Sonia Busquier; Juan Carlos Trillo (Numer. Algorithms, 2007)

On a class of L1-stable nonlinear cell-average multiresolution schemes. - Sergio Amat; Karine Dadourian; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Comput. Appl. Math., 2010)

A family of stable nonlinear nonseparable multiresolution schemes in 2D. - Sergio Amat; Karine Dadourian; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Comput. Appl. Math., 2010)

Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (J. Sci. Comput., 2010)

On a compact non-extrapolating scheme for adaptive image interpolation. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (J. Frankl. Inst., 2012)

Adaptive interpolation of images using a new nonlinear cell-average scheme. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2012)

Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. - Sergio Amat; Rosa Donat; Juan Carlos Trillo (Appl. Math. Comput., 2013)

High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. - Sergio Amat; Karine Dadourian; Jacques Liandrat; Juan Carlos Trillo (J. Comput. Appl. Math., 2013)

Improving the compression rate versus L 1 error ratio in cell-average error control algorithms. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2014)

On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2015)

On a nonlinear mean and its application to image compression using multiresolution schemes. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2016)

On a Power WENO Scheme with Improved Accuracy Near Discontinuities. - Sergio Amat; Jacques Liandrat; Juan Ruiz 001; Juan Carlos Trillo (SIAM J. Sci. Comput., 2017)

Analysis of the Gibbs phenomenon in stationary subdivision schemes. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Appl. Math. Lett., 2018)

On a class of three points cell-average multiresolution schemes. - Sergio Amat; Jacques Liandrat; María Moncayo; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2018)

N-dimensional error control multiresolution algorithms for the cell average discretization. - Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2018)

On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (J. Comput. Appl. Math., 2019)

On an algorithm to adapt spline approximations to the presence of discontinuities. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo (Numer. Algorithms, 2019)

On the use of generalized harmonic means in image processing using multiresolution algorithms. - Sergio Amat; Ángel Alberto Magreñán; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2020)

On the application of Lehmer means in signal and image processing. - Sergio Amat; Ángel Alberto Magreñán; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2020)

N-dimensional error control multiresolution algorithms for the point value discretization. - J. García; J. A. Padilla; Juan Ruiz 001; Juan Carlos Trillo (Math. Comput. Simul., 2020)

On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1. - Sergio Amat; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Numer. Algorithms, 2020)

Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions. - Isabel Jiménez; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Appl. Math. Comput., 2021)

A nonlinear PPH-type reconstruction based on equilateral triangles. - Sergio Amat; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (CoRR, 2022)

Geometric representation of the weighted harmonic mean of n positive values and potential uses. - Sergio Amat; P. Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (CoRR, 2022)

Numerical integration rules with improved accuracy close to singularities. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (CoRR, 2022)

A class of C2 quasi-interpolating splines free of Gibbs phenomenon. - Sergio Amat; David Levin; Juan Ruiz-Álvarez 001; Juan Carlos Trillo; Dionisio F. Yáñez (Numer. Algorithms, 2022)

Numerical integration rules with improved accuracy close to discontinuities. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (Math. Comput. Simul., 2023)

The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids. - Sergio Amat; Pedro Ortiz; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Math. Comput. Simul., 2023)

A new family of means: the generalized weighted power means and applications. - Sergio Amat; Isabel Jiménez; Juan Ruiz 001; Juan Carlos Trillo; Dionisio F. Yáñez (Int. J. Comput. Math., 2023)

Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms. - Sergio Amat; Zhilin Li 002; Juan Ruiz-Álvarez 001; Concepcion Solano; Juan Carlos Trillo (J. Sci. Comput., 2023)

On the stability of the PPH subdivision scheme on nonuniform grids. - Pedro J. Martínez-Aparicio; Pedro Ortiz; Juan Carlos Trillo (Math. Comput. Simul., 2025)