Approximation Theory and Digital Filtering

¨     Two-dimensional almost bandlimited discrete sequences,  Pubblicazioni IAC, Ser.3, N. 165, 1978.  with S. ALLINEY

¨     Least squares approximation of two-dimensional FIR digital filters, Alta Frequenza, Vol. 49, n.1, pp.24-26, 1980.  with S.ALLINEY

¨     Chebyshev approximation of recursive digital filters having specified amplitude and phase characteristics, Signal Processing, (North-Holland-Amsterdam), Vol.2, n. 4, pp. 317-321, 1980.  with  S. ALLINEY

¨     An efficient  method  for two-dimensional FIR filters approximation, in: M.Kunt and F.de Coulon (eds.):" Signal processing: theories and applications ", North-Holland, Amsterdam,  pp.397-401, 1980.  with S. ALLINEY

¨     Un problema  di  approssimazione connesso con la sintesi di filtri digitali non ricorsivi, Calcolo, Vol.XVII, pp. 221-233, 1980. with  S. ALLINEY, B. R. BELLOMO

¨     Un  nuovo  sistema  di  Haar, L'Elaborazione  Automatica, Vol.3,  pp. 213-218,  1981.  with  S. ALLINEY

¨     L'approssimazione razionale discreta come problema lineare, L'Elaborazione automatica, Vol. 3, pp. 275-283, 1981.  with  R. MORANDI

    Return to Fiorella Sgallari's Home Page  

Inverse Problems and Image Processing

¨     A new algorithm for  3D ventricular reconstruction from orthogonal projections, in: "Proceeding of the First Intern. Symp. on Medical Imaging  and Image Interpretation ISMIII '82",  IEEE Computer Soc. Press, N.J., 1982, pp. 517-520.  with  S. ALLINEY

¨     Image analysis by the symmetry transform, in: H. W. Schussler (ed.): "Signal processing II: theories and applications",  North-Holland,  Amsterdam, pp. 235-237, 1983. with S. ALLINEY, V. FRONTINI

¨     An  ill-conditioned   Volterra  integral equation related to the reconstruction of images, SIAM J. Appl. Math., Vol.44, No.3, pp. 627-645, 1984.  with S. ALLINEY

¨     A fast algorithm for 2D symmetry analysis, Proc.IASTED Int. Symp. on Applied Signal Proc. Digital Filtering, M. H. Hamaza (ed.),  Acta Press,  Canada, pp. 176-180, 1985.  with S. ALLINEY, R. FARAGUTI

¨     A block iterative algorithm for the reconstruction of images  from their  projections, EUSIPCO-86 , Signal  Processing III:   Theories  App., I.T.Young, R.P.W. Duin, J. Biemond, J.J.Gerbrans (eds.), North-Holland, Amsterdam, pp.629-634, 1986. with S. ALLINEY,  V. FRONTINI

¨     Image regularization for echocardiography digital processing, in V. Cappellini  (ed.) "Time- varying Image Processing and  Moving Object Recognition", Elsevier,  Amsterdam, pp.173 - 180, 1990. with C. LAMBERTI, A. GUIDAZZOLI

¨     Anisotropic diffusion technique and morphological approach for echocardiography image processing in: L.Torres, E. Masgrau and M. Lagunas (eds.):  "Signal processing : theories and applications V",  Elsevier,  Amsterdam,  pp. 939-942, 1990.  with C. LAMBERTI

¨     A workstation-based system for 2-D echocardiographic visualization and image processing, IEEE Trans. on Biomedical  Engineering, Vol. 37,  N.8, pp.796-802, 1990. with C. LAMBERTI

¨     Edge detection  and velocity  field for the analysis of heart motion, in: "Digital Signal Processing", V.Cappellini and A.G.Costantinides (Eds.), Proc. Intern. Conf. on Digital Processing, Elsevier, Amsterdam, pp. 603-608, 1991.  with C. LAMBERTI

¨     Anisotropic  diffusion technique for 2-D echocardiography image processing, Proc. IEEE - EMBS Conf., J.H. Nagel, W.M. Smith, (eds.), IEEE Press, U.S.A., Vol.13, pp 233 - 234, 1991.     with C. LAMBERTI and  G. VENTURELLI

¨     Optical flow computation in 2-D echocardiography, Proc. Computer in Cardiology,  IEEE Comp. Soc. Press, Washington, pp.489 - 492,  1991.   with C. LAMBERTI, F. BULGARELLI

¨     Computational  approaches  for evaluation of  ventricular  wall motion from 2-D echocardigrams, Proc. VI Mediterranean Conf. on Medical and Biological Eng., M. Bracale   e F. Denoth , (eds.), CNR.  Pisa, pp. 711 - 714, 1992.  with C. LAMBERTI, P. BARALDI,   A. GUIDAZZOLI, A. PRANDINI

¨     Improvements to the anisotropic diffusion model for 2D echo image processing, Proc. IEEE-EMBS Conf., J.P. Morucci, R. Plonsey, J.L. Coatrieuxand S. laxminarayan (Eds.), IEEE Press, Vol.14, pp.1872-1873,1992.  with C. LAMBERTI,  M. SITTA

¨     Motion evaluation from synthesized 3-D echocardiograms, in V. Cappellini  (ed.), "Time-varying Image Proc. and Moving Object Recog.", Elsevier,  Amsterdam, pp. 267-272, 1994. with P.BARALDI, S.CAVALCANTI, D.DEL GIUDICE, C.LAMBERTI ,  A.SARTI

¨     Tecniche per elaborazione di immagini ecocardiografiche e coronarografiche, Atti Acc.Scienze Bologna, Anno 282, Serie V, N.6, pp.51-70, 1995.with C.LAMBERTI,  A.SARTI,  M.L.BACCHI REGGIANI

¨     Evaluation of differential optical flow techniques on synthesized echo images, IEEE Trans. on Biomedical Eng., Vol.43, N.3, pp.259-272, 1996. with P. BARALDI,C. LAMBERTI, A. PRANDINI,  A.SARTI.

¨     Models and numerical methods for nonlinear multiscale analysis of 3D image sequences, Proc. 4th SIMAI Conference, Messina, Pub. Roma, 1998, pp. 389-393. with K. MIKULA, A. SARTI.

¨     Nonlinear multiscale analysis of three-dimensional echocardiographic sequences, IEEE Trans. Medical Imaging , Vol.18, No. 6,  pp.453-466, 1999. with K. MIKULA, A. SARTI.

¨     A regularizing Lanczos iteration method for underdetermined linear systems,  Jour. Comput. Appl. Mathem, Vol. 115, pp. 101-120, 2000. With G. SPALETTA, D. CALVETTI e L. REICHEL

¨     Thikonov regularization and the L-curve for large discrete ill-posed problems, Jour. Comput. Appl. Mathem,  special volume series: Studies in Computational Mathematics, Numerical Analysis 2000, Vol.III, Linear Algebra, Vol. 123,n.1-2, pp.423-446, 2000.  with  D. CALVETTI , S. MORIGI  e L. REICHEL

¨     Models and numerical methods for nonlinear diffusion equations for 2D/3D image and image sequence analysis. Ann. Univ. Ferrara, Sez. VII, Sc. Mat. Suppl. Vol. XLV,  pp.129-141, 2000.   with S. Morigi.

¨     An anisotropic nonlinear diffusion approach to image interpolation. Proc. CD  Inter. Symp. Mathem. Theory of Networks and Systems, Perpignan, (A.El Jai, M. Fliess, Eds), pp.1-8, 2000.  with S.MORIGI, C.ZANNONI, A.CAPPELLO.(Invited presentation)

¨     Multiscale echocardiographic sequence analysis, Proc. 5th SIMAI Conf., pp. 124-128, 2000.with C. LAMBERTI, K. MIKULA and A. SARTI.

¨     An L-ribbon for large underdetermined linear discrete ill-posed problems, Numerical Algorithms,  Vol. 25, pp. 89-107, 2001. with  D. CALVETTI, S. MORIGI  e L. REICHEL.

¨     A regularizing L-curve Lanczos method for underdetermined linear systems, Applied Mathematics and Computation, Vol.121, n.1  , pp.55-73. 2001, with S. MORIGI.

¨     Parallel multiscale filtering of two and three dimensional image sequences, in "Scienza e Supercalcolo 2001", pp.433-441 CINECA, 2001. with  K. MIKULA, S. MORIGI e A. SARTI.

¨     Registration based on evolution models, in Advanced Signal Processing Alg., Architectures, and Implementations XI, ed.  F.T.  Luk, Proc. of the Society of Photo-Optical Instrumentation  Engineers (SPIE), vol.  4474, pp.346-356,  The Internat. Society for Optical  Engineering, Bellingham, WA, 2001. with  K. MIKULA e S. MORIGI.

¨     Evolutionary Partial Differential Equations for Medical Image Processing, Journal of Biomedical Informatics,  pp. 77-91,  Vol. 35, No. 2, April 2002. with C. LAMBERTI, K. MIKULA and A. SARTI.

¨     Complementary volume scheme in image denoising and segmentation. Proc. 6th SIMAI 2002, Chia Laguna, pp.1 -14. with  S. CORSARO, V. DE SIMONE, A. HANDLOVICOVA, K. MIKULA.

¨     Variational numerical methods for solving nonlinear diffusion equations arising in image processing,  Jour. Visual Communication and Image Representation, Vol.13, n1/2, pp.217-237, 2002.  with A. HANDLOVICOVA, K. MIKULA.

¨     Nonlinear multiscale analysis models for filtering of 3D + time biomedical images, in "Geometric Methods in Bio-Medical image processing", R. Malladi, Ed., Lectures Notes Comput. Science and Eng., pp.107-127, Springer Verlag, 2002. with  C. LAMBERTI, K. MIKULA and A. SARTI.

¨     On Anisotropic Diffusion in 3D image processing and image sequence analysis, in _Trends in Nonlinear Analysis_, (M.Kirkilionis, S. Kromker, R.Rannacher, F. Tomi (eds.), Springer  Verlag, 2003, pp. 307-321. with  K. MIKULA, T. PREUSSER and M. RUMPF.

¨     Semi-implicit complementary volume scheme for solving level set like equations  in image processing and curvature evolution, Numerische. Mathematik., Vol.93, pp.675-695,2003. with A. HANDLOVICOVA, K. MIKULA.

¨     Linear co-volume scheme for anisotropic curvature driven motions, in Numerical Mathematics and Advanced Applications, ENUMATH 2001 (Eds. F. Brezzi et al.), Springer-Verlag Italia, Milano, pp. 483-494, 2003. with S. CORSARO, V. DE SIMONE, A. HANDLOVICOVA, K. MIKULA.

¨     Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry, Journ. Comp. Applied Mathem., Vol.161, pp.119-1325,2003. With  K. MIKULA.

¨     3D long bones reconstruction based on level sets, Computerized Medical Imaging and Graphics, vol.8, pp.377-390, 2004. With S. MORIGI 

¨     A new software for prediction of femoral neck fractures. Computer Methods and Programs in Biomedicine, vol. 75, pp. 141 _ 145, 2004. With  D.TESTI , A. CAPPELLO, M. RUMPF e M. VICECONTI.

¨     Co-volume level set method in subjective surface based medical image segmentation, in: Hand Book of Medical Image Analysis, Vol. I: Segmentation Models Part A(ed. by J.S. Suri, D.L.Wilson, S.Laxminarayan),  KluwerAcademic/ Plenum publishers, New York, pp. 583-626,  2005. With  K. MIKULA e A. SARTI.

¨      Regularized segmentation based on nonlinear PDE models: some numerical aspects, in Advanced Signal Processing Algorithms, Architectures, and Implementations XV,  ed.  F.T.  Luk, Proceedings of the Society of Photo-Optical Instrumentation  Engineers (SPIE), vol.  5910, pp.290-301,  The International Society for Optical  Engineering, Bellingham, WA, 2005. With  S. MORIGI.

¨     Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation, Computing and Visualization in Science, Vol. 9, pp. 23-31, 2006.  With  K.Mikula, A.Sarti.

¨     Image inpainting with structural bootstrap priors,  Image and Vision Computing, Vol. 24, pp. 782-793,  2006. With  D. Calvetti, E. Sommersalo.

¨     Semi-implicit co-volume method in 3D image segmentation, SIAM Jour. Scient. Comput, Vol.28, No.6, pp. 2248-2265, 2006. With  S.Corsaro, K.Mikula, A.Sarti.

¨     A truncated projected SVD method for linear discrete ill-posed problems,  Numerical Algorithms, Vol.43, N.3, pp.197-213, 2006.   With S. MORIGI,  L. REICHEL.  

¨     Orthogonal projection regularization operators , Numerical Algorithms, Vol. 44, Issue 2, pp. 99-114, 2007.   With S. MORIGI,  L. REICHEL.

¨     A high order finite co-volume scheme for diffusion using Radial Basis Functions. Proceedings of the First International Conference on Scale Space and Variational Methods in Computer Vision, SSVM, May 30_June 2, 2007, Ischia, Italy, Lecture Notes in Computer Science, vol. 4485, pp. 43-54 (Sgallari, Murli, Paragios, eds.)Springer, Berlin, 2007. With  S. MORIGI.

¨     Cascadic Multiresolution Methods for Image Deblurring SIAM Journal on Imaging Sciences, Vol.1, N1, pp.51-74, 2008. With S. MORIGI,  L. REICHEL e A. SHYSHKOV

¨     The bioartificial thyroid: a biotechnological perspective in endocrine organ engineering for transplantation replacement,  Acta Bio Medica online | Vol.78 - Suppl. n_ 1 / 2007. With  Roberto Toni, Claudia Della Casa, Giulia Spaletta, Giacomo Marchetti, Perseo Mazzoni, Monica Bodria, Simone Ravera, Davide Dallatana, Sergio Castorina, Vincenzo Riccioli, Emilio Giovanni Castorina, Salvatore Antoci, Enrico Campanile, Gabriella Scalise, Raffaella Rossi, Giorgio Ugolotti, Andrew Martorella, Elio Roti, Aldo Pinchera

¨     A study on the relationship between intraglandular arterial distribution and thyroid lobe shape: implications for biotechnology of a bioartificial thyroid. ANNALS OF ANATOMY. vol. 190, pp. 432 _ 441, 2008. IWith  Toni R, Casa CD, Bodria M, Spaletta G, Vella R, Castorina S, Gatto A, Teti G, Falconi M, Rago T, Vitti P.

¨     An edge-preserving multilevel method for deblurring, denoising, and segmentation,  X.-C. Tai et al. (Eds): SSVM 2009, LNCS 5567, pp. 427-439, 2009, Springer-Verlag Berlin  Heidelberg 2009. With S. MORIGI,  L. REICHEL.

¨     Composed Segmentation of Tubular Structures by an Anisotropic PDE Model,  X.-C. Tai et al. (Eds): SSVM 2009, LNCS 5567, pp. 75-86, 2009,  Springer-Verlag Berlin Heidelberg 2009. With E. FRANCHINI and S. MORIGI.

¨     The partition of unity method for high-order finite volume schemes using Radial Basis Functions reconstruction. Numerical Mathematics: Theory, Methods and Applications , Vol.2, No. 2, pp.153-179,  2009.  With S. MORIGI.

¨     An interior-point method for large constrained discrete ill-posed problems.  Journ. Comp. Applied Mathem.  Vol.233/5, pp.1288-1297,2010. With S. MORIGI,  L. REICHEL.

¨     Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems, Numerical algorithms, Vol.53, pp.1-22, 2010. With S. MORIGI,  L. REICHEL.

¨     Segmentation of 3D tubular structures by a PDE-based anisotropic diffusion model, Lecture Notes in Computer Science 5862, (edited by  Morten Daehlen, Michael Floater, Tom Lyche, Jean-Louis Merrien, Knut Mrken, and Larry L. Schumaker), MMCS 2008, pp.224-241,2010. With con E. FRANCHINI and S. MORIGI.

¨     Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems, Numerical algorithms,  Volume 53, Issue 1, pp.1- 22,  2010.   With  S. MORIGI and  L. REICHEL.

¨     Segmentation of 3D tubular structures by a PDE-based anisotropic diffusion model, Lecture  Notes in Computer Science 5862, (edited by  Morten Daehlen, Michael Floater, Tom Lyche, Jean-Louis Merrien, Knut Mrken, and Larry L. Schumaker), MMCS 2008, pp.224-241,2010. With E. FRANCHINI and S. MORIGI.

¨     Cascadic Multilevel Methods for Fast nonsymmetric Blur- and Noise Removal,  Applied Numerical Mathematics,  Vol.60, n.4, pp. 378-396, 2010.  With  S. MORIGI and L. REICHEL.

¨     Implicit shape reconstruction of unorganized points using  PDE-based deformable 3D manifolds. Numerical Mathematics: Theory, Methods and Applications, Vol.3, n.4, pp.405-430, 2010. With E. Franchini and  S. MORIGI.

¨     A hybrid multilevel-active set method for large box-constrained discrete ill-posed inverse problems, Calcolo, Vol. 48/1 ,  pp. 89-105, 2011. ISSN: 0008-0624. With  S. MORIGI, R. PLEMMONS and  L. REICHEL

¨     Framelet-Based Algorithm for Segmentation of Tubular Structures, In: Lecture Notes in Computer Science. Ein-Gedi, Israel, 29 May- 2 June, BERLIN HEIDELBERG: A.M. Bruckstein et al. (Eds.), vol. 6667, p. 411 – 422, 2012.  With  X.Cai1, R. H. Chan and  S.Morigi.

¨     An adaptive norm algorithm for image restoration, In: Lecture Notes in Computer Science. Ein-Gedi, Israel, 29 May- 2 June, BERLIN HEIDELBERG: Springer-Verlag, A.M. Bruckstein et al. (Eds.), vol. 6667, p. 194 – 205, 2012.  With D. Bertaccini, R. H. Chan and  S.Morigi.

¨      Nonlocal Surface Fairing, In: Lecture Notes in Computer Science. Ein-Gedi, Israel, 29 May- 2 June, BERLIN HEIDELBERG: Springer-Verlag, A.M. Bruckstein et al. (Eds.), vol. 6667, p. 38 - 49 With S.Morigi and M. RUCCI.

¨      Alternating Krylov subspace image restoration methods, J. Comput. Appl. Math., Vol. 236, Issue 8, 2012, pp. 2049–2062. With J. O. Abad, S. Morigi and L. ReicheL.

¨      An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization, Numerical Mathematics: Theory , Methods and Applications, Vol.6,n.1, pp. 276-296, 2013. With R. H. Chan, A. Lanza, S. Morigi.

¨     Iterative Methods of Richardson-Lucy-type for Image Deblurring", Numerical Mathematics: Theory , Methods and Applications, Vol.6,n.1, pp. 262-275,2013. With M. K. Khan, S. Morigi, L. Reichel.

¨      Vessel Segmentation in Medical Imaging Using a Tight-Frame Based Algorithm, In press on SIAM Journal on Imaging Sciences, vol. 6, n.1, pp. 464-486, 2013.  With  X.Cai, R. H. Chan and  S.Morigi.

¨      A Cascadic Alternating Krylov Subspace Image Restoration Method, In: Lecture Notes in Computer Science. 4th International Conference, SSVM 2013 Schloss Seggau, Leibnitz, Austria, June 2-6, 2013, BERLIN HEIDELBERG: Springer-Verlag, Kuijper, A.; Bredies, K.; Pock, Th.; Bischof, H. (Eds.), vol. 7893, p. 98 – 1095, 2013.  With  S.MORIGI, L. REICHEL.

¨      Variational Image Denoising based on Auto-Correlation Whiteness, SIAM J. Imaging Sci. Vol. 6, N.4, pp. 1931-1955, 2013. With A.Lanza, S, Morigi, A.J.Yezzi.

¨     Image restoration with Poisson-Gaussian mixed noise, Computer Methods in Biomechanics and Biomedical Engineering: Imaging and Visualization, Vol. 2, Issue 1, pp. 12-24, DOI: 10.1080/21681163.2013.811039, 2014. With A.Lanza, S, Morigi, Y.W. Wen.

¨     Variational Image Denoising While Constraining the distribution of the residual, Electronic Transactions on Numerical Analysis, Volume 42, pp. 64-84. ISSN: 10689613, Scopus code 2-s2.0-84909586804, 2014. With A.LANZA, S. MORIGI, A.YEZZI.

¨    A general framework for nonlinear regularized Krylov-based image restoration,  4th International Conference, 

	CompIMAGE 2014, Pittsburgh, PA, USA, September 3-5, 2014, Proceedings,  Lecture Notes in Computer Science 

	LNCS 8641, Springer, pp. 273--279, DOI: 10.1007/978-3-319-09994-1_27, ISSN: 03029743, Scopus Code 2-s

	2.0-84905818399, (Eds) Yongjie Jessica Zhang, João Manuel R.S. Tavares, 2014. With S. MORIGI, L. REICHEL.

¨    Variational Image Restoration with Constraints on noise whiteness, Journal of Mathematical Imaging and Vision: Volume 53, Issue 1, pp. 61-77, DOI: 10.1007/s10851-014-0549-5, 2015. With A.LANZA, S. MORIGI.

¨    Convex image denoising via Non-Convex Regularization, Scale Space and Variational Methods in Computer Vision, Proceedings Series: Lecture Notes in Computer Science, Volume 9087,  ISBN 978-3-319-18460-9, Eds. Aujol, Jean-François and Nikolova, Mila and Papadakis, Nicolas, DOI 10.1007/978-3-319-18461-6_53, Springer International Publishing, pp. 666-677, 2015. With A.LANZA, S. MORIGI.

¨    A nonsmooth nonconvex sparsity-promoting variational approach for deblurring images corrupted by impulse noise, VIPIMAGE 2015 Conf. Proc., CRC Press, pp. 87-93, 2015. With A.LANZA, S. MORIGI.

¨    Image restoration using variational approaches: some recent advances, VIPIMAGE 2015 Conf. Proc., CRC Press, pp.25-31, 2015. With A.LANZA, S. MORIGI.

¨    Convex Image Denoising via Non-convex Regularization with Parameter Selection, Journal of Mathematical Imaging and Vision, vol. 56, pp.195-220, 2016. With A.LANZA, S. MORIGI.

¨    Constrained TVp-L2 model for Image Restoration, Journal of Scientific Computing, vol. 68, pp.64-91,  DOI 10.1007/s10915-015-0129-x, 2016. With A.LANZA, S. MORIGI.

¨    Nonconvex nonsmooth optimizationvia convex–nonconvex majorization–minimization, Numerische Mathematik, 

     Vol.136, DOI 10.1007/s00211-016-0842-x, pp. 343-381, 2017. With A. LANZA, S. MORIGI, I. SELESNIK.

¨    Fractional Tikhonov regularization with a nonlinear penalty term, Journal Comp. Appl.Math, vol.324, pp.142-154, DOI: 10.1016/j.cam.2017.04.017, 2017.  With S. MORIGI, L. REICHEL.

¨      Convex non-convex image segmentation, Numerische Mathematik, 1-46, DOI 10.1007/s00211-017-0916-4, 2017. With R.H. CHAN, A.LANZA, S. MORIGI.

¨     Convex Non-Convex Segmentation over Surfaces, Scale Space and Variational Methods in Computer Vision, Proceedings Series: Lecture Notes in Computer Science, SSVM 2017, Volume 10302,  Eds. Lauze F., Dong Y., Dahl A., DOI 10.1007/978-3-319-58771-4_28, Springer Cham, pp. 348-360, 2017.  With M. HUSKA, A.LANZA, S. MORIGI.

¨    A Unified Framework for the Restoration of Images Corrupted by Additive White Noise, Scale Space and Variational Methods in Computer Vision, Proceedings Series: Lecture Notes in Computer Science, SSVM 2017, Volume 10302,  Eds. Lauze F., Dong Y., Dahl A., DOI 10.1007/978-3-319-58771-4_40, Springer Cham, pp. 498-510, 2017. With A.LANZA, F. SCIACCHITANO, S. MORIGI.

¨     Space-Variant TV Regularization for Image Restoration, In: Tavares J., Natal Jorge R. (eds) VipIMAGE 2017. ECCOMAS 2017. Lecture Notes in Computational Vision and Biomechanics, vol 27. DOI 10.1007/978-3-319-68195-5_17. Springer, Cham. pp 160-169, 2017. With A.LANZA, S. MORIGI, M. PRAGLIOLA. ( Best student paper award)

¨    Whiteness constraints in a unified variational framework for image restoration, Journal of Mathematical Imaging and Vision, 2018. (under revision),.With A.LANZA, F. SCIACCHITANO, S. MORIGI.

¨    Sparsity-inducing Non-convex Non-separable Regularization for Convex Image Processing, SIAM Journal on Imaging Sciences, 2018. (under revision). With A. LANZA, S. MORIGI, I. SELESNIK.

¨    Total Variation Signal Denoising via Convex Analysis, 2018. (submitted). With A. LANZA, S. MORIGI, I. SELESNIK.

     Return to Fiorella Sgallari's Home Page  

  Linear Algebra and Parallel Computing

¨     Iterazioni   a caso  per la soluzione di sistemi lineari, Atti del Conv. di Analisi Numerica, De Frede,  Napoli, pp. 10- 35, 1985. with S. ALLINEY, V. FRONTINI

¨     Asynchronous  algorithm  for the iterative solution of linear systems, Proc. Fall Conf.CRAY User Group, Bologna, Karen Winget Ed.,  pp. 190-193, 1987. With V. FRONTINI ,  R. MORANDI

¨     Parallel   semi-asynchronous algorithms for the iterative   solution  of linear systems, Supercomputer, Vol. VI, No.4 , pp. 17 - 25, 1989. with  R. MORANDI

¨     Block elimination for doubly bordered band linear systems, Proc. 3rd IMSL Europ. User Group Conf.,  Bologna, Italia, B 16 pp. 1-9,  1990. with V. FRONTINI

¨     Parallel  algorithms  for   the iterative solution of sparse least squares problems, Parallel Computing, Vol. 13, pp. 271 - 280, 1990.  with R. MORANDI

¨     Parallel processing and libraries: some experiences with a transputer architecture, Proc. 5rd IMSL European User Group  Conference "Scientific Visaulization and Numerical Computing", Munich, Germany, B 12 pp. 1 - 9, 1992. with  A. BELLETTINI, A.CIAMPOLINI, V. FRONTINI , L.LEONARDI, D.SERMASI

¨     An iterative method for image reconstruction from projections,  Proc.5th SIAM Conf. on Applied Linear Algebra, Utah, SIAM,  Philadelphia, pp. 92-96, 1994. with D.CALVETTI, L.REICHEL, G.SPALETTA.

¨     A parallel block projection method of the Cimmino type for finite Markov chains,in "Computations with markov chains", W.J. Stewart (ed.), Proc.2nd Inter. Workshop on the Numer. Solution of Markov Chains,  Kluwer Academic Publ., Boston, pp. 65-80, 1995.  with M.BENZI, G.SPALETTA.

¨     On the iterative solution of linear equations arising in BVPs of ODEs,  Linear Algebra and its Appl., Vol. 225, pp.195-205, 1995.  with  F. SLOBODA.

¨     Application of Anti-Gaussian quadrature rules to linear algebra,  "Applications and Computation of Orthogonal Polynomials",  Intern. Ser. Numer. Math., (W. Gautschi, G. H. Golub, G. Opfer, Eds.), Vol.131, pp.41-56,  Birkhauser, Basel. 1999.   with D. CALVETTI , L. REICHEL.

¨     Parallel multiscale analysis of 2D image sequences, Proc. Fifth European SGI/CRAY MPP Workshop, Italy, September 99, CINECA, G. Erbacci, M. Voli (Eds) pp.1-11, 1999.  with S. MORIGI , A. SARTI.

¨     An iterative method with error estimator,  Jour. Comput. Appl. Mathem, special volume series: Studies in Comput.  Mathematics, Numerical Analysis 2000 in the 20^th Century, Vol.V, Quadratures and orthogonal polynomials, Vol.127, pp.93-119, 2000.   with  D. CALVETTI, S. MORIGI, L. REICHEL

¨     Regularization of large discrete ill-posed problems in image processing, In L. Brugnano and D. Trigiante, editors, Recent Trends in Numerical Analysis, pp.120-130, Nova Science  Publ. Inc., N.Y. 2000. With  M. BERTAJA, S. MORIGI,  E. LOLI PICCOLOMINI e F. ZAMA.

¨     Computable error  bounds and estimates for the conjugate gradient method, Numerical Algorithms, Vol. 25, pp.75-88, 2001. with  D. CALVETTI, S. MORIGI, L. REICHEL.

¨     Non-negativity and iterative methods for ill-posed problems.  Inverse Problems, Vol.20, pp.1747-1758, 2004  With  D. CALVETTI , G. LANDI  e L. REICHEL

¨     Tikhonov regularization with nonnegativity constraint.  Electronic Transaction on Numerical Analysis, Vol. 18, pp.153-173, 2004  With  D. CALVETTI , B. LEWIS  e L. REICHEL

¨     Iterative methods for ill-posed problems and semiconvergent sequences, Journ. Comp. Applied Mathem  Vol.193, pp. 157-167 , 2006.   With S. MORIGI,  L. REICHEL e F. ZAMA.

¨     An iterative Lavrentiev regularization method,  BIT Numerical Mathematics, Vol. 46, pp. 589_606, 2006.  With  S. MORIGI,  L. REICHEL.

¨     An iterative method for linear discrete  ill-posed problems with box constraints, Journ. Comp. Applied Mathem., Vol. 198, pp. 505-520, 2007.   With  S. MORIGI,  L. REICHEL e F. ZAMA.

¨     An interior-point method for large constrained discrete ill-posed problems. Journ. Comp. Applied Mathem  Vol. 233, pp. 1288-1297, 2010.  With  S. MORIGI and L. REICHEL.

¨     A paradigm for updating preconditioners in nonlinear image denoising and deblurring,  SIMAI 2010 Cagliari, abstracts, p. 52, 2010),  With Daniele Bertaccini

¨     Updating preconditioners for image restoration algorithms by nonlinear diffusion,  Applied Numerical Mathematics, Vol.60, n. 10, pp.994-1006, 2010.  With Daniele Bertaccini.

¨     A flexible updating framework for preconditioners in PDE-based image restoration algorithms, Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009, Kreiss, G.; Lötstedt, P.; Målqvist, A.; Neytcheva, M. (Eds.), pp. 163-170, Springer  2010. With Daniele Bertaccini .

¨      Tikhonov regularization based on generalized Krylov subspace methods,  Applied Numerical Mathematics, Vol. 62, n.9, 2012, pp. 1215-1228. With  L. REICHEL, Q. Ye.

¨     A generalized Krylov subspace method for lp -lq minimization, In: Lecture Notes in Computer Science. 4th International Conference, CompImage 2014,  Pittsburg, PA,USA, September 3-5, 2014, BERLIN HEIDELBERG: Springer-Verlag, Y.J. Zhang, J.M.R.S.Tavares (Eds.), vol. 8641, p. 273 – 279, 2014.  With S.Morigi, L.Reichel.

¨     A generalized Krylov Subspace Method for Lp -Lq  Minimization,  SIAM Journal on Scientific Computing (SISC), Vol.37,n.5, pp s30-s50, 2015. With LANZA, S. MORIGI, L. REICHEL.

¨   Majorization–minimization generalized Krylov subspace methods for ℓp–ℓq optimization applied to image restoration, BIT Numerical Mathematics, Vol.57,n.5, pp 351-378, DOI: 10.1007/s10543-016-0643-8, 2017. With A. LANZA, S. MORIGI, L. REICHEL.

             Return to Fiorella Sgallari's Home Page  

Models and numerical methods for Engineering Problems

¨     Sul calcolo numerico delle lastre sottili, L'Elaborazione  Automatica, Vol.3, pp. 313-327, 1981. with  S. ALLINEY

¨     A  boundary integral equation approach to wave propagation over a trench, Appl. Math. Modelling, Vol.7, pp.33-40, 1983.

¨     A weak  formulation  of  boundary  integral equations for time dependent parabolic equations, Appl. Math. Modelling, Vol.9,  pp.295-301, 1985.

¨     Primal-dual  variational problems by boundary and finite elements, Appl. Math. Modelling, Vol.9, pp.246-252, 1985.

¨     The exploitation of sparse-matrix techniques in conjuction with the piecewise harmonic balance method for nonlinear microwave circuit analysis, Proc. 1990 IEEE MTT-S Intern. Microwave Symposium, K.K. Agarwal (ed.), IEEE Press,Vol. III, Dallas, Texas,  pp.1295-1298, 1990.   with V. RIZZOLI ,  F. MASTRI,  V. FRONTINI

¨     Intermodulation analysis of microwave mixers by a sparse-matrix method coupled with  the piecewise harmonic-balance technique,  Proc.20th European Microwave Conference, Vol.1, Microwave Ex.  Publ., U.K.,  pp. 189-194, 1990.   with V. RIZZOLI ,  A. LIPPARINI, F. MASTRI, A. NERI,  V. FRONTINI

¨     Modern perspective in supercomputer-aided microwave circuit CAD, Intern. Journal of Microwave and Millimiter-Wave Computer-Aided Engineering, Vol.1, N.2, pp.201-224, 1991.    with  V. RIZZOLI,  A. LIPPARINI,   A. COSTANZO,  C. CECCHETTI,  A. NERI,   F. MASTRI, V. FRONTINI.  (Invited paper).

¨     An algorithm for Weyl modules irreducibility, Rend. Seminario Matematico Univ. e Polit.Torino, Lib. Ed. Univ. Levrotto & Bella, Torino, Vol.49, n.2, pp.217-232, 1991. with M. BARNABEI , V. FRONTINI

¨     Frequency domain analysis  of electrically and thermally nonlinear microwave circuits, Proc.22th European Microwave Conf., Vol.1, Microwave Ex.  Publ., U.K.,  pp. 1097-1102, 1992.   with V. RIZZOLI, C. CECCHETTI, F. MASTRI, A. LIPPARINI,  V. FRONTINI

¨     Harmonic-balance simulation of strongly nonlinear very large-size microwave circuits by inexact Newton methods, 1996 IEEE-MTT-S International Symposuim Digest, IEEE Press, U.S.A., Vol.3, pp.1357-1360, 1996.  with V. RIZZOLI,  F. MASTRI ,  G. SPALETTA.

¨     Fast and robust inexact Newton approach to the harmonic-balance analysis of  nonlinear microwave circuits, IEEE Microwave Guided Wave Letters, Vol.7, N.10, pp.359-361, 1997.  with V. RIZZOLI ,  F. MASTRI , C. CECCHETTI.

¨     Signal and noise analysis of large nonlinear microwave circuits by advanced harmonic-balance techniques, Proc. European Conf. on Circuit Theory and Design ECCTD'99, (Ed. by C. Beccari, M. Biey,  P.P. Civalleri, M. Gilli), Levrotto & Bella, Torino, pp.329-332, 1999. (Invited paper, ECCTD 99).  with V. RIZZOLI,  F. MASTRI,  C. CECCHETTI , A. LIPPARINI.

¨     The exploitation of Krylov-Subspace methods in the harmonic-balance simulation of large nonlinear microwave circuits. Ann. Univ. Ferrara, Sez. VII, Sc. Mat. Suppl. Vol. XLV,  pp.507-520, 2000. with V. RIZZOLI,  F. MASTRI,  C. CECCHETTI , A. LIPPARINI.

¨     Scattering-matrix based inexact-Newton harmonic balance with incomplete preconditioning, Proc. 30th European Microwave Conference, Paris 2-6 October 2000 Microwave Ex.  Publ., U.K., 2000.   with V. RIZZOLI ,  F. MASTRI ,  D. MASOTTI.

¨     A modified companion matrix method based on Newton polinomials, Contemporary Mathematics, Vol. 323, AMS-SIAM, pp.179-186, 2003.  with  D. CALVETTI , L. REICHEL

¨     The bioartificial thyroid: a biotechnological perspective in endocrine organ engineering for transplantation replacement,  Acta Bio Medica online | Vol.78 - Suppl. n_ 1 / 2007. With  Roberto Toni, Claudia Della Casa, Giulia Spaletta, Giacomo Marchetti, Perseo Mazzoni, Monica Bodria, Simone Ravera, Davide Dallatana, Sergio Castorina, Vincenzo Riccioli, Emilio Giovanni Castorina, Salvatore Antoci, Enrico Campanile, Gabriella Scalise, Raffaella Rossi, Giorgio Ugolotti, Andrew Martorella, Elio Roti, Aldo Pinchera

¨     Basis for the Implementation of an EEG-based Single-Trial Binary Brain Computer Interface through the Disgust Produced by Remembering Unpleasant Odors, Neurocomputing, Vol.160, pp.308-318, http://dx.doi.org/10.1016/j.neucom.2015.02.034 doi:10.1016/j.neucom.2015.02.034, 2015. With G. PLACIDI, D. AVOLA, A. PETRACCA, M. SPEZIALETTI.

     Return to Fiorella Sgallari's Home Page  

Didactical Publications

¨     Strumenti informatici nelle discipline matematiche, in  "Strumenti informatici nella didattica dell'Ingegneria",  R. Guidorzi (ed.), pp.15-18,Fac. Ingegneria,  Univ. Bologna,  Pitagora Ed., Bologna, 1990.  

¨     Calcolo numerico e programmazione: esperienze con il FORTRAN 77, in  "Didattica matematica con l'ausilio del personal computer",  R. Guidorzi (ed.), pp.77-83, Fac.  Ingegneria,  Univ. Bologna, Pitagora Ed., Bologna,  1992.  

¨     VAX/VMS e PC/MS-DOS: concetti di base per il laboratorio, Esculapio, Progetto Leonardo, Bologna, 1993.  with A. Guidazzoli.

¨     Personal Computer, Microsoft DOS, WINDOWS, FORTRAN con elementi di grafica ed esercizi, Esculapio, Prog. Leonardo, Bologna, 1994.  with  M. Gei.

¨     La matematica e l_imaging medico,   Atti Convegno"Scuola Scienza e Societa_",  24-26 Febbraio 2005, La Maddalena. 

          Return to Fiorella Sgallari's Home Page  

Book Chapters

¨     Nonlinear multiscale analysis models for filtering of 3D + time biomedical images, in "Geometric Methods in Bio-Medical image processing", R. Malladi, Ed., Lectures Notes Comput. Science and Eng., pp.107-127, Springer Verlag, 2002. with  C. LAMBERTI, K. MIKULA e A. SARTI.

¨      Co-volume level set method in subjective surface based medical image segmentation, in: Hand Book of Medical Image Analysis, Vol. I: Segmentation Models Part A(ed. by J.S. Suri, D.L.Wilson, S.Laxminarayan),  KluwerAcademic/ Plenum publishers, New York, pp. 583-626,  2005. With K. MIKULA e A. SARTI.   

        Return to Fiorella Sgallari's Home Page

Some Selected:

¨     An  ill-conditioned   Volterra  integral equation related to the reconstruction of images, SIAM J. Appl. Math. Vol.44, No.3, pp. 627-645, 1984.  with S. Alliney

¨     Modern perspective in supercomputer-aided microwave circuit CAD, Intern. Journal of Microwave and Millimiter-Wave Computer-Aided Engineering, Vol.1, N.2, pp.201-224, 1991.    with  V. Rizzoli,  A. Lipparini,   A. Costanzo,  C. Cecchetti,  A. Neri,   F. Mastri, V. Frontini  (Invited paper).

¨     Nonlinear multiscale analysis of three-dimensional echocardiographic sequences, IEEE Trans. Medical Imaging , Vol.18, No. 6,  pp.453-466, 1999. with K. Mikula, A. Sarti.

¨     Thikonov regularization and the L-curve for large discrete ill-posed problems, Jour. Comput. Appl. Mathem,  special volume series: Studies in Computational Mathematics, Numerical Analysis 2000, Vol.III, Linear Algebra, Vol. 123,n.1-2, pp.423-446, 2000.  with  D. Calvetti , S. Morigi  and  L. Reichel.

¨     Evolutionary Partial Differential Equations for Medical Image Processing, Journal of Biomedical Informatics,  pp. 77-91,  Vol. 35, No. 2, April 2002. with C. Lamberti, K. Mikula and A. Sarti.

¨     Nonlinear multiscale analysis models for filtering of 3D + time biomedical images, in "Geometric Methods in Bio-Medical image processing", R. Malladi, Ed., Lectures Notes Comput. Science and Eng., pp.107-127, Springer Verlag, 2002. with  C. Lamberti, K. Mikula and A. Sarti.

¨     Semi-implicit complementary volume scheme for solving level set like equations  in image processing and curvature evolution, Numerische. Mathematik., Vol.93, pp.675-695,2003. with A. Handlovicova, K. Mikula.

¨     Semi-implicit finite volume scheme for image processing in 3D cylindrical geometry, Journ. Comp. Applied Mathem., Vol.161, pp.119-1325,2003. With  K. Mikula.

¨     Non-negativity and iterative methods for ill-posed problems.  Inverse Problems, Vol.20, pp.1747-1758, 2004  With  D. Calvetti , G. Landi  eand  L. Reichel.

¨     Co-volume level set method in subjective surface based medical image segmentation, in: Hand Book of Medical Image Analysis, Vol. I: Segmentation Models Part A(ed. by J.S. Suri, D.L.Wilson, S.Laxminarayan),  KluwerAcademic/ Plenum publishers, New York, pp. 583-626,  2005. With K. Mikula e A. Sarti.  (pdf file) (poscript file)

¨     Image inpainting with structural bootstrap priors,  Image and Vision Computing, Vol. 24, pp. 782-793,  2006. With D. Calvetti,  E. Somersalo.

¨     An iterative Lavrentiev regularization method,  BIT Numerical Mathematics, Vol. 46, pp. 589_606, 2006.  With S. Morigi,  L. Reichel.

¨     Semi-implicit co-volume method in 3D image segmentation, SIAM Jour. Scient. Comput, Vol.28, No.6, pp. 2248-2265, 2006. With  S.Corsaro, K.Mikula, A.Sarti.

¨     An iterative method for linear discrete  ill-posed problems with box constraints, Journ. Comp. Applied Mathem., Vol. 198, pp. 505-520, 2007.  With S. Morigi,  L. Reichel e F. Zama.

¨     Cascadic Multiresolution Methods for Image Deblurring SIAM Journal on Imaging Sciences, Vol.1, N1, pp.51-74, 2008. With S. Morigi,  L. Reichel e A. Shyshov

¨     The partition of unity method for high-order finite volume schemes using Radial Basis Functions reconstruction. Numerical Mathematics: Theory, Methods and Applications , Vol.2, No. 2, pp.153-179,  2009.  With S. Morigi.

¨     Cascadic Multilevel Methods for Fast nonsymmetric Blur- and Noise Removal,  Applied Numerical Mathematics,  Vol.60, n.4, pp. 378-396, 2010. With  S. Morigi and L. Reichel.

¨     Updating preconditioners for image restoration algorithms by nonlinear diffusion,  Applied Numerical Mathematics, Vol.60, n. 10, pp.994-1006, 2010.  With D.Bertaccini.

¨     Alternating Krylov subspace image restoration methods, J. Comput. Appl. Math., Vol. 236, Issue 8, 2012, pp. 2049–2062. With J. O. Abad, S. Morigi and L. Reichel.

¨      Tikhonov regularization based on generalized Krylov subspace methods,  Applied Numerical Mathematics, Vol. 62, n.9, 2012, pp. 1215-1228. With  L. Reichel, Q. Ye.

¨     An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization, Numerical Mathematics: Theory , Methods and Applications, Vol.6,n.1, pp. 276-296, 2013. With R. H. Chan, A. Lanza, S. Morigi.

¨      Iterative Methods of Richardson-Lucy-type for Image Deblurring", Numerical Mathematics: Theory , Methods and Applications, Vol.6,n.1, pp. 262-275,2013. With M. K. Khan, S. Morigi, L. Reichel

¨      Vessel Segmentation in Medical Imaging Using a Tight-Frame Based Algorithm, In press on SIAM Journal on Imaging Sciences, vol. 6, n.1, pp. 464-486, 2013.  With  X.Cai, R. H. Chan and  S.Morigi.

¨     Variational Image Denoising based on Auto-Correlation Whiteness, SIAM J. Imaging Sci. Vol. 6, N.4, pp. 1931-1955, 2013. With A.Lanza, S, Morigi, A.J.Yezzi.

¨     Image restoration with Poisson-Gaussian mixed noise, Computer Methods in Biomechanics and Biomedical Engineering: Imaging and Visualization, Vol. 2, Issue 1, pp. 12-24, DOI: 10.1080/21681163.2013.811039, 2014. With A.Lanza, S, Morigi, Y.W. Wen.

¨     Variational Image Restoration with Constraints on noise whiteness, Journal of Mathematical Imaging and Vision: Volume 53, Issue 1, pp. 61-77, DOI: 10.1007/s10851-014-0549-5, 2015. With A.Lanza, S. Morigi.

¨      A generalized Krylov Subspace Method for Lp -Lq  Minimization,  SIAM Journal on Scientific Computing (SISC), Vol.37,n.5, pp s30-s50, 2015. With Lanza, S. Morigi, L. Reichel.

¨      Convex Image Denoising via Non-convex Regularization with Parameter Selection, Journal of Mathematical Imaging and Vision, vol. 56, pp.195-220, 2016. With A.Lanza, S. Morigi.

¨     Constrained TVp-L2 model for Image Restoration, Journal of Scientific Computing, vol. 68, pp.64-91,  DOI 10.1007/s10915-015-0129-x, 2016. With A.Lanza, S. Morigi.

¨     Nonconvex nonsmooth optimizationvia convex–nonconvex majorization–minimization, Numerische Mathematik, Vol.136, DOI 10.1007/s00211-016-0842-x, pp. 343-381, 2017. With Lanza, S. Morigi, I. Selesnik.

¨     Majorization–minimization generalized Krylov subspace methods for ℓp–ℓq optimization applied to image restoration, BIT Numerical Mathematics, Vol.57,n.5, pp 351-378, DOI: 10.1007/s10543-016-0643-8, 2017. With Lanza, S. Morigi, L. Reichel.

¨     Convex non-convex image segmentation, Numerische Mathematik, 1-46, DOI 10.1007/s00211-017-0916-4, 2017. With R.H. Chan, A.Lanza, S. Morigi.

¨      A Unified Framework for the Restoration of Images Corrupted by Additive White Noise, Scale Space and Variational Methods in Computer Vision, Proceedings Series: Lecture Notes in Computer Science, SSVM 2017, Volume 10302,  Eds. Lauze F., Dong Y., Dahl A., DOI 10.1007/978-3-319-58771-4_40, Springer Cham, pp. 498-510, 2017. With A.Lanza, F. Sciacchitano, S. Morigi.

¨       Space-Variant TV Regularization for Image Restoration, In: Tavares J., Natal Jorge R. (eds) VipIMAGE 2017. ECCOMAS 2017. Lecture Notes in Computational Vision and Biomechanics, vol 27. DOI 10.1007/978-3-319-68195-5_17. Springer, Cham. pp 160-169, 2017. With A.Lanza, S. Morigi, M. Pragliola. ( Best student paper award)

        Return to Fiorella Sgallari's Home Page