Articles and Recent Reports

  1. S.Amat, R.Donat, J.Liandrat and J.C.Trillo,Analysis of a new nonlinear subdivision scheme. Applications in image
    processing. Foundations of Computational Mathematics, Vol. 6(2), pp. 193-226, 2006.
  2. S.Amat, S.Busquier and J.C.Trillo, Non-linear Harten's Multiresolution on the Quincunx Pyramid. J. of Comp. and App. Math., Vol. 189, pp. 555-567, 2006.
  3. S.Amat, K.Dadourian, J.Liandrat, and J.C.Trillo, Point values Hermite multiresolution for non-smooth signals captured with noise, WSEAS Transactions on Signal Processing, Vol. 2(2), pp. 309-315, 2006.
  4. S.Amat, J.C.Trillo, P.Viala, Error control vs classical multiresolution schemes for image compression, WSEAS Transactions on Signal Processing, Vol. 2(2), pp. 124-130, 2006.
  5. S.Amat, J.Ruiz, J.C.Trillo, Compression of color images using nonlinear multiresolution schemes, WSEAS Transactions on Signal Processing, Vol. 2(2), pp. 302-308, 2006.
  6. S.Amat, S.Busquier, and J.C.Trillo, Stable Biorthogonal Multiresolution Transforms, Journal of Numerical Analysis, Industrial and Applied Mathematics, accepted, 2006.
  7. S.Amat, K.Dadourian, R.Donat,  J.Liandrat, and J.C.Trillo, Error bounds for a convexity preserving interpolation and its limit function, Journal of Computational and Applied Mathematics, accepted, 2006.
  8. S.Amat, S.Busquier and J.C.Trillo, Stable Interpolatory Multiresolution in 3D. Applied Numerical Analysis and Computational Mathematics, Vol. 2(2), pp. 177-188, 2005.
  9. S.Amat, H.Cherif and J.C.Trillo, Denoising using Linear and Nonlinear Multiresolutions. Engineering Computations, Vol. 22(7), pp. 877-891, 2005.
  10. I.Ali, S.Amat, and J.C.Trillo, Point values Hermite multiresolution for non-smooth noisy signals, Vol. 3, pp. 223-236, 2005.
  11. F.Aràndiga, R.Donat, and J.C.Trillo, Image compression using the SVD algorithm combined with Harten's multiresolution, WSEAS Transactions on Information Science and Applications, Vol. 2(9), pp. 1269-1276, 2005.
  12. S.Amat, S.Busquier, and J.C.Trillo, Cell-average nonlinear multiresolution on the Quincunx pyramid, WSEAS Transactions on Computers, Vol. 4(9), pp. 1146-1153, 2005.
  13. S.Amat, S.Busquier, A.Escudero, and J.C.Trillo, On a subclass of Hölder continuous functions with applications on signal processing, Lectures Notes, Springer-Verlag, accepted, 2005.
  14. S.Amat, R.Donat, J.Liandrat, and J.C.Trillo, A fully adaptive PPH multiresolution scheme for image processing, Mathematical and Computer Modelling MCM-Elsevier, accepted 2005.
  15. S.Amat, R.Donat, J.Liandrat and J.C.Trillo, Analysis of a fully nonlinear multiresolution scheme for image processing. Preprint 38-02 U.P.Cartagena (Spain), 2002.
  16. F.Arandiga, J.C.Trillo, Resultados de Interpolación No Lineal. Revista Matemática de la Universitat de València,
    Vol. 1, nº 1, 2001.
  17. S.Amat, S.Busquier, and J.C.Trillo, On a modified ENO multiresolution for image data compression, accepted 2007.
  18. S.Amat, S.Busquier, A.Escudero, J.C.Trillo, Lagrange's interpolation for continuous piecewise smooth functions, submitted.