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Trillo, Juan Carlos

Co-Author Distance
Author ID: trillo.juan-carlos Recent zbMATH articles by "Trillo, Juan Carlos"
Published as: Trillo, J. C.; Trillo, J. Carlos; Trillo, Juan C.; Trillo, Juan Carlos; Carlos Trillo, Juan
Documents Indexed: 49 Publications since 2003, including 2 Additional arXiv Preprints
Co-Authors: 25 Co-Authors with 48 Joint Publications
626 Co-Co-Authors
all top 5

Co-Authors

0 single-authored
41 Amat Plata, Sergio
11 Liandrat, Jacques
11 Yáñez, Dionisio F.
9 Busquier, Sonia
8 Ruiz, J.
6 Ortiz, Pedro
5 Donat, Rosa
4 Dadourian, Karine
3 Ruiz Álvarez, Juan
2 Escudero, Antonio
2 Jiménez, Isabel
2 Li, Zhilin
2 Magreñán, Ángel Alberto
2 Padilla, Jose A.
2 Solano, Concepción
1 Candela, Vicente F.
1 Cherif, Hedi
1 Expósito, Natalia
1 Levin, David N.
1 López, David J.
1 Martínez-Aparacio, Pedro J.
1 Moncayo, María
1 Shu, Chi-Wang
1 Tapia, Carlos R.
1 Zouaoui, Sofiane
all top 5

Serials

7 Journal of Computational and Applied Mathematics
6 Numerical Algorithms
5 Mathematics and Computers in Simulation
3 International Journal of Computer Mathematics
2 Applied Mathematics and Computation
2 Journal of Scientific Computing
2 Engineering Computations
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Computing
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Scientific Computing
1 Journal of Inequalities and Applications
1 Foundations of Computational Mathematics
1 ANACM. Applied Numerical Analysis and Computational Mathematics
1 Matemàtiques
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 Open Mathematics
all top 5

Fields

41 Numerical analysis (65-XX)
27 Approximations and expansions (41-XX)
17 Information and communication theory, circuits (94-XX)
3 Computer science (68-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

30 Publications have been cited 199 times in 100 Documents Cited by ▼ Year ▼
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
49
2006
A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
14
2007
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053
Amat, S.; Donat, R.; Trillo, J. C.
11
2013
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012
Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C.
10
2013
On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos
9
2012
Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
9
2018
On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes. Zbl 1189.65318
Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
8
2010
Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004
Amat, Sergio; Busquier, S.; Trillo, J. C.
8
2006
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308
Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos
8
2007
Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011
Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos
7
2005
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
6
2021
On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012
Amat, Sergio; Donat, Rosa; Trillo, J. Carlos
6
2009
On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004
Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
6
2012
Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
5
2010
A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006
Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
5
2010
Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002
Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos
5
2008
On a nonlinear mean and its application to image compression using multiresolution schemes. Zbl 1339.41001
Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
5
2016
On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C.
5
2017
Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
4
2014
Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002
Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C.
3
2008
On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Zbl 1415.65038
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
3
2019
Stable interpolatory multiresolution in 3D. Zbl 1086.94002
Amat, Sergio; Busquier, Sonia; Trillo, J. C.
3
2005
A class of \(C^2\) quasi-interpolating splines free of Gibbs phenomenon. Zbl 1494.65007
Amat, Sergio; Levin, David; Ruiz-Álvarez, Juan; Trillo, Juan C.; Yáñez, Dionisio F.
2
2022
Stable biorthogonal multiresolution in 3D. Zbl 1147.65008
Amat, S.; Busquier, S.; Trillo, J. C.
2
2006
On an algorithm to adapt spline approximations to the presence of discontinuities. Zbl 1530.65018
Amat, Sergio; Ruiz, Juan; Trillo, Juan C.
1
2019
Denoising using linear and nonlinear multiresolutions. II: Cell-average framework and color images. Zbl 1257.94008
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
1
2009
Point values Hermite multiresolution for nonsmooth noisy signals. Zbl 1092.65019
Ali, I.; Amat, S.; Trillo, J. C.
1
2006
On the use of generalized harmonic means in image processing using multiresolution algorithms. Zbl 1480.94004
Amat, S.; Magreñán, A. A.; Ruiz, J.; Trillo, J. C.; Yáñez, D. F.
1
2020
The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids. Zbl 1540.65029
Amat, S.; Ortiz, P.; Ruiz, J.; Trillo, J. C.; Yáñez, D. F.
1
2023
On a class of three points cell-average multiresolution schemes. Zbl 1540.65060
Amat, S.; Liandrat, J.; Moncayo, M.; Ruiz, J.; Trillo, J. C.
1
2018
The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids. Zbl 1540.65029
Amat, S.; Ortiz, P.; Ruiz, J.; Trillo, J. C.; Yáñez, D. F.
1
2023
A class of \(C^2\) quasi-interpolating splines free of Gibbs phenomenon. Zbl 1494.65007
Amat, Sergio; Levin, David; Ruiz-Álvarez, Juan; Trillo, Juan C.; Yáñez, Dionisio F.
2
2022
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
6
2021
On the use of generalized harmonic means in image processing using multiresolution algorithms. Zbl 1480.94004
Amat, S.; Magreñán, A. A.; Ruiz, J.; Trillo, J. C.; Yáñez, D. F.
1
2020
On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. Zbl 1415.65038
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
3
2019
On an algorithm to adapt spline approximations to the presence of discontinuities. Zbl 1530.65018
Amat, Sergio; Ruiz, Juan; Trillo, Juan C.
1
2019
Analysis of the Gibbs phenomenon in stationary subdivision schemes. Zbl 1376.41003
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos; Yáñez, Dionisio F.
9
2018
On a class of three points cell-average multiresolution schemes. Zbl 1540.65060
Amat, S.; Liandrat, J.; Moncayo, M.; Ruiz, J.; Trillo, J. C.
1
2018
On a power WENO scheme with improved accuracy near discontinuities. Zbl 1377.65099
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C.
5
2017
On a nonlinear mean and its application to image compression using multiresolution schemes. Zbl 1339.41001
Amat, Sergio; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
5
2016
Improving the compression rate versus \(L^{1}\) error ratio in cell-average error control algorithms. Zbl 1298.41009
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
4
2014
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Zbl 1291.65053
Amat, S.; Donat, R.; Trillo, J. C.
11
2013
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. Zbl 1288.65012
Amat, S.; Dadourian, K.; Liandrat, J.; Trillo, J. C.
10
2013
On a nonlinear cell-average multiresolution scheme for image compression. Zbl 1260.94005
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan Carlos
9
2012
On a compact non-extrapolating scheme for adaptive image interpolation. Zbl 1260.94004
Amat, S.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
6
2012
On a class of \(L^{1}\)-stable nonlinear cell-average multiresolution schemes. Zbl 1189.65318
Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
8
2010
Fast multiresolution algorithms and their related variational problems for image denoising. Zbl 1203.65036
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
5
2010
A family of stable nonlinear nonseparable multiresolution schemes in 2D. Zbl 1186.94006
Amat, S.; Dadourian, K.; Liandrat, J.; Ruiz, Juan; Trillo, J. C.
5
2010
On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation. Zbl 1188.65012
Amat, Sergio; Donat, Rosa; Trillo, J. Carlos
6
2009
Denoising using linear and nonlinear multiresolutions. II: Cell-average framework and color images. Zbl 1257.94008
Amat, Sergio; Ruiz, Juan; Trillo, J. Carlos
1
2009
Lagrange interpolation for continuous piecewise smooth functions. Zbl 1156.41002
Amat, Sergio; Busquier, Sonia; Escudero, Antonio; Trillo, J. Carlos
5
2008
Error bounds for a convexity-preserving interpolation and its limit function. Zbl 1130.41002
Amat, S.; Dadourian, K.; Donat, R.; Liandrat, J.; Trillo, J. C.
3
2008
A fully adaptive multiresolution scheme for image processing. Zbl 1134.68063
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
14
2007
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Zbl 1135.65308
Amat, Sergio; Busquier, Sonia; Trillo, J. Carlos
8
2007
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
49
2006
Nonlinear Harten’s multiresolution on the quincunx pyramid. Zbl 1087.94004
Amat, Sergio; Busquier, S.; Trillo, J. C.
8
2006
Stable biorthogonal multiresolution in 3D. Zbl 1147.65008
Amat, S.; Busquier, S.; Trillo, J. C.
2
2006
Point values Hermite multiresolution for nonsmooth noisy signals. Zbl 1092.65019
Ali, I.; Amat, S.; Trillo, J. C.
1
2006
Denoising using linear and nonlinear multiresolutions. Zbl 1191.94011
Amat, Sergio; Cherif, Hedi; Trillo, J. Carlos
7
2005
Stable interpolatory multiresolution in 3D. Zbl 1086.94002
Amat, Sergio; Busquier, Sonia; Trillo, J. C.
3
2005
all cited Publications top 5 cited Publications
all top 5

Cited by 92 Authors

50 Amat Plata, Sergio
34 Trillo, Juan Carlos
19 Yáñez, Dionisio F.
17 Liandrat, Jacques
9 Donat, Rosa
8 Aràndiga, Francesc
8 Dadourian, Karine
8 Ruiz, J.
6 Busquier, Sonia
5 Ruiz Álvarez, Juan
4 Hameed, Rabia
4 López-Ureña, Sergio
4 Mustafa, Ghulam
4 Ortiz, Pedro
3 De Marchi, Stefano
3 Levin, David N.
3 Moncayo, María
3 Rehan, Kashif
3 Shu, Chi-Wang
3 Siddiqi, Shahid Saeed
2 Abgrall, Rémi
2 Akram, Ghazala
2 Amhraoui, Elmehdi
2 Bibi, Khalida
2 Congedo, Pietro Marco
2 Geraci, Gianluca
2 Jiménez, Isabel
2 Kon, Mark A.
2 Li, Zhilin
2 Magreñán, Ángel Alberto
2 Marchetti, Francesco
2 Masrour, Tawfik
2 Matei, Basarab
2 Meignen, Sylvain
2 Mulet, Pep
2 Perracchione, Emma
2 Poggiali, Davide
2 Romani, Lucia
2 Santágueda, Maria
2 Yang, Hyoseon
2 Yoon, Jungho
2 Zhang, Zhiguo
2 Zheng, Hongchan
2 Zhou, Jie
2 Zouaoui, Sofiane
1 Ali, Shafqat
1 Bermúdez, Concepción
1 Blázquez, Pedro J.
1 Cao, Huijuan
1 Capdevila, Raudys R.
1 Conti, Costanza
1 Cordero, Alicia
1 Deng, Jiansong
1 Dyn, Nira
1 El kebir, Dhafer
1 Garcia-Rubio, Raquel
1 Gérot, Cédric
1 Grau-Sánchez, Miquel
1 Grau, Àngela
1 Guessab, Allal
1 Harizanov, Stanislav
1 Hernández-Verón, Miguel Ángel
1 Iaccarino, Gianluca
1 Idrees, Usama
1 IJzerman, Wilbert L.
1 Karim, Samsul Ariffin Abdul
1 Latif, Tayyabah
1 Lin, Guihua
1 Macías-Díaz, Jorge Eduardo
1 Noreen, Tayyaba
1 Novara, Paola
1 Oswald, Peter
1 Padilla, Jose A.
1 Pan, Lulu
1 Renau, Vicent
1 Romero, Natalia
1 Rossini, Milvia
1 Schmeisser, Gerhard
1 Solano, Concepción
1 Tan, Jieqing
1 Tariq, Humaira Mustanira
1 ten Thije Boonkkamp, Jan H. M.
1 Torregrosa Sanchez, Juan Ramón
1 van Lith, Bart S.
1 Vigo-Aguiar, Jesus
1 Wu, Hao
1 Yao, Yangang
1 Zhang, Baoxing
1 Zhang, Li
1 Zhang, Peng
1 Zhang, Zeze
1 Zhuang, Xiaosheng
all top 5

Cited in 36 Serials

15 Applied Mathematics and Computation
14 Journal of Computational and Applied Mathematics
9 Numerical Algorithms
8 Mathematics and Computers in Simulation
6 Journal of Scientific Computing
5 Advances in Computational Mathematics
3 International Journal of Computer Mathematics
2 Journal of the Franklin Institute
2 Mathematical Methods in the Applied Sciences
2 Constructive Approximation
2 Applied and Computational Harmonic Analysis
2 Journal of Inequalities and Applications
2 S\(\vec{\text{e}}\)MA Journal
2 Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 BIT
1 Computing
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Circuits, Systems, and Signal Processing
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Scientific Computing
1 Engineering Computations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Numerical Algebra, Control and Optimization
1 Journal of the Operations Research Society of China
1 International Journal of Applied and Computational Mathematics
1 Results in Applied Mathematics
all top 5

Cited in 13 Fields

87 Numerical analysis (65-XX)
42 Approximations and expansions (41-XX)
23 Information and communication theory, circuits (94-XX)
5 Partial differential equations (35-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Computer science (68-XX)
4 Real functions (26-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year