Massimo Fornasier

Publications
Preprints. 1. Existence of minimizers of the Mumford and Shah functional with singular operators in two space dimensions (with R. March), preprint, 2009. Submitted preprints to refereed journals. 2. Fluid dynamic description of flocking via Povzner-Boltzmann equation (with J. Haskovec G. Toscani), submitted to Physica D (nonlinear phenomena), Dec. 2009, 19 pp. [ .pdf ] 3. A kinetic flocking model with diffusion (with R. Duan and G. Toscani), submitted to Commun. Math. Phys., Sept. 2009, 43 pp. [ .pdf ] 4. Multilevel preconditioning for adaptive sparse optimization (with S. Dalhke and T. Raasch), submitted to Math. Comput., Aug. 2009, 48 pp. [ .pdf ] 5. A convergent overlapping domain decomposition method for total variation minimization (with A. Langer and C.-B. Schoenlieb), submitted to Numer. Math., May 2009, 35 pp. [ .pdf ] [ Matlab software and simulations ] Refereed journal papers. 6. Iterative thresholding meets free-discontinuity problems (with R. Ward), to appear Found. Comput. Math., 2010, 46 pp. [ .pdf ] 7. Asymptotic flocking dynamics for the kinetic Cucker-Smale model (with J. A. Carrillo, J. Rosado, and G. Toscani), to appear in SIAM. J. Math. Anal., 2010, 19 pp. [ .pdf ] 8. Optimal adaptive computation in the Jaffard algebra and localized frames (with S. Dahlke and K. Groechenig), J. Approx. Theory, Vol. 162, no. 1, 2010, pp. 153-185. [ .pdf ] 9. Subspace correction methods for total variation and l1-minimization, (with C. Schoenlieb), SIAM J. Numer. Anal., Vol. 47, no. 5, 2009, pp. 3397-3428 [ .pdf ] [ Matlab software and simulations ] 10. Iteratively re-weighted least squares minimization for sparse recovery, (with I. Daubechies, R. DeVore, and S. Gunturk), Commun. Pure Appl. Math., Vol. 63, no. 1, 2010, pp. 1-38 [ .pdf ], [ poster ], Matlab code [ irwls_main.m , it_min_l2_w_fast.m ] 11. A comparison of joint sparsity and total variation minimization algorithms in a real-life art restoration problem (with G. Teschke and R. Ramlau), Adv. Comput. Math., Vol. 31, Nos 1-3, 2009, pp. 301-329[ .pdf ] [ Simulation movie ] 12. Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments (with S. Dahlke, M. Primbs, T. Raasch, M. Werner), Numerical Methods for Partial Differential Equations, Vol. 25, no. 6 ,2009, pp. 1366-1401, 2008, 43 pp. [ .pdf ] 13. Iterative thresholding algorithms (with H. Rauhut), Appl. Comput. Harmon. Anal., Vol. 25, No. 2, 2008, pp. 187-208 [ .pdf ] 14. Adaptive frame methods for nonlinear variational problems (with M. Charina and C. Conti), Numer. Math., Vol. 109, No. 1, 2008, pp. 45-75 [ .pdf ] 15. Domain decomposition methods for linear inverse problems with sparsity constraints, Inverse Problems, Vol. 23, 2007, pp. 2505-2526. [ .pdf ] 16. Accelerated projected gradient method for linear inverse problems with sparsity constraints (with I. Daubechies and I. Loris), J. Fourier Anal. Appl., Vol. 14, No. 5-6, 2008, pp. 764-792. [ .pdf ] 17. Recovery algorithms for vector valued data with joint sparsity constraints (with H. Rauhut), SIAM J. Numer. Anal., Vol. 46, No. 2, 2008, pp. 577-613 [ .pdf ] 18. Restoration of color images by vector valued BV functions and variational calculus (with R. March), SIAM J. Appl. Math., Vol. 68 No. 2, 2007, pp. 437-460. [ .pdf ] This article has been used for public awareness by SIAM (Society of Industrial and Applied Mathematics) [ link ], see directly [ .pdf ] 19. Adaptive iterative thresholding algorithms for magnetoencephalography (MEG) (with F. Pitolli), J. Comput. Appl. Math., Vol. 221 No. 2, 2008, pp. 386-395 [ .pdf ] extended preprint (with more proofs and comments) [ .pdf ] 20. Sampling theorems on bounded domains (with L. Gori), J. Comput. Appl. Math., 2007, Vol. 221 No. 2, 2008, pp. 376-385. 21. Generalized coorbit theory, Banach frames, and the relation to alpha-modulation spaces (with S. Dahlke, H. Rauhut, G. Steidl, and G. Teschke), Proc. London Math. Soc., 96, No. 2, 2008, pp. 464-506. [ .pdf ] 22. Adaptive frame methods for elliptic operator equations: the steepest descent approach (with S. Dahlke, T. Raasch, R. Stevenson and M. Werner), IMA J. Numer. Anal., Vol. 27 No. 4, 2007, pp. 717-740 [ .pdf ] 23. Banach frames for alpha-modulation spaces, Appl. Comp. Harmon. Anal., Vol. 22, No. 2, 2007, pp. 157-175. [ .pdf ] 24. Adaptive frame methods for elliptic operator equations, (with S. Dahlke and T. Raasch) Adv. Comp. Math., Vol. 27 No. 1, 2007, pp. 27-63 [ .pdf ] 25. On some stability results of localized atomic decompositions, Rend. Mat. Appl., No. 26, 2006, pp. 315-325. 26. Nonlinear projection recovery in digital inpainting for color image restoration, J. Math. Imaging Vis. Vol. 24, No. 3, 2006, pp. 359-373. 27. Flexible Gabor-wavelet atomic decompositions for L2 Sobolev spaces (with H. G. Feichtinger), Ann. Mat. Pura Appl. Vol. 185(4), No. 1, 2006, pp. 105-131. [ .pdf ] 28. Continuous frames, function spaces, and the discretization problem (with H. Rauhut), J. Fourier Anal. Appl., Vol. 11, No. 3, 2005, pp. 245-287. [ .pdf ] 29. Intrinsic localization of frames (with K. Groechenig), Constr. Approx., Vol. 22, 2005, pp. 395-415. [ .pdf ] 30. Fast homogenization algorithm based on asymptotic theory and multiscale schemes (with M. Morandi Cecchi), Numer. Algorithms, Vol. 40, No. 2, 2005, pp. 171-186 31. Fast, robust, and efficient 2D pattern recognition for re-assembling fragmented images (with D. Toniolo), Pattern Recognition, Vol. 38, 2005, pp. 2074-2087. [ .pdf ] [ Simulation movie ] (by Rocco Cazzato [ link ]) 32. Quasi-orthogonal decompositions of structured frames, J. Math. Anal. Appl. Vol. 289, No. 1, 2004, pp. 180-199. 33. Function spaces inclusions and rate of convergence of Riemann-type sums in numerical integration, Numer. Funct. Anal. Opt., Vol. 24, Nos. 1 & 2, 2003, pp. 45-57. Conference papers 34. Mathematical methods for spectral image reconstruction (with W. Baatz and J. Haskovec), Proceedings of the workshop Scientific Computing for Cultural Heritage, Heidelberg Germany, November 2009. 35. Binary based fresco restoration (with W. Baatz, P. Markowich, and C.-B. Schönlieb), Proceedings of the conference Bridge 2009: Mathematics, Music, Art, Architecture, Culture, 337-338 pp. [ .pdf ] 36. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Proceedings of the IMA Mathematics of Surfaces XIII conference, 2009 [ .pdf ] 37. Domain decomposition methods for compressed sensing (with A. Langer and C.-B. Schönlieb), Proc. Int. Conf. SampTA09, Marseilles, 2009 [ .pdf ] 38. Electric current density imaging via an accelerated iterative algorithm with joint sparsity constraints (with G. Bretti and F. Pitolli), Proc. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, 2009 [ .pdf ] 39. Mathematics enters the picture, Proceedings of the conference Mathknow 2008 [ .pdf ] 30. Iteratively Re-weighted Least Squares Minimization: Proof of Faster than Linear Rate for Sparse Recovery (with I. Daubechies, R. DeVore, and S. Gunturk), Information Sciences and Systems, 2008. CISS 2008. 42nd Annual Conference on Volume , Issue , 19-21 March 2008 pp. 26-29 [ .pdf ] 41. Inpainting of ancient Austrian frescoes (with W. Baatz, C.-B. Schoenlieb, and P. Markowich), International Conference Bridges: Mathematical Connections in Art, Music, and Science, 2008. 42. Faithful recovery of vector valued functions from incomplete data. Recolorization and art restoration, Lecture Notes in Computer Science, Volume 4485/2007, Proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision (Sgallari, Fiorella; Murli, Almerico; Paragios, Nikos Eds.), 2007, pp. 116-127. 43. On elementary sampling theorems on bounded domains (with L. Gori), Proc. Int. Conf. ICNAAM 2005 (Ed. Simos Theodore S. et al.), Weinheim: Wiley-VHC, pp. 619-623. 44. Building a bridge between Gabor and wavelet worlds, Mini-Workshop: Wavelets and Frames, Feb. 15-21 2004, Oberwolfach Reports, 1(1), 2004, pp. 490-494. 45. Decompositions of Hilbert spaces: local construction of global frames, Proc. Int. Conf. Constructive Function theory 2002, Varna, DARBA, Sofia, 2003, pp. 275-281. [ .pdf ] Books and book Chapters 46. Particle, kinetic, hydrodynamic models of swarming (with J. A. Carrillo, G. Toscani, and F. Vecil), within the book “Mathematical modeling of collective behavior in socio-economic and life-sciences”, Birkhäuser (in preparation, Eds. Lorenzo Pareschi, Giovanni Naldi, and Giuseppe Toscani), 2010. [ .pdf ] 47. Numerical methods for sparse recovery within the book “Theoretical Foundations and Numerical Methods for Sparse Recovery”, (Ed. Massimo Fornasier, with further contributions by Antonin Chambolle, David Donoho, Ronny Ramlau, Holger Rauhut, Jared Tanner, Gerd Teschke, and Mariya Zhariy) Radon Series in Applied and Computational Mathematics, de Gruyter (in preparation), 2010 48. (book) Theoretical Foundations and Numerical Methods for Sparse Recovery, Ed. by Massimo Fornasier (with contributions by Antonin Chambolle, David Donoho, Ronny Ramlau, Holger Rauhut, Jared Tanner, Gerd Teschke, and Mariya Zhariy) Radon Series on Computational and Applied Mathematics, de Gruyter publ., 2010 49. Compressed Sensing -- An Introduction (with Holger Rauhut), book chapter in the "Handbook of Mathematical Methods in Imaging" which will be published by Springer, Science+Business Media. 50. Il Progetto Mantegna: storia e risultati (Italian) (with R. Cazzato, G. Costa, A. Dal Farra, D. Toniolo, D. Tosato, C. Zanuso), in "Andrea Mantegna. La Cappella Ovetari a Padova" (Anna Maria Spiazzi, Alberta De Nicolo' Salmazo, Domenico Toniolo eds.), Skira, 2006. [ .pdf ] Buy the book [ link ] 51. Computer-based re-composition of the frescoes in the Ovetari Chapel in the Church of the Eremitani in Padua. Methodology and initial results, (Italian/English) (with D. Toniolo), in "Mantegna nella chiesa degli Eremitani a Padova. Il recupero possibile" Ed. Skira, May 2003, pp. 15-23. Miscellaneous 53. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Habilitationsschrift, Faculty of Mathematics, University of Vienna, January 2008, pp. 426. [ .pdf ] 54. Introduzione all'analisi armonica numerica (Italian), Lecture notes, 2003, second edition, 2007 112 pp. [ .pdf ] 55. Constructive Methods for Numerical Applications in Signal Processing and Homogenization Problems, PhD thesis, University of Padua, Dec. 2002. 56. Un metodo per la rappresentazione e il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione virtuale degli affreschi della Chiesa degli Eremitani in Padova (Italian), Laurea thesis, Department of Pure and Applied Mathematics, University of Padua, Oct. 1999. 57. Proposta per una anastilosi informatica degli affreschi della Capella Ovetari nella Chiesa degli Eremitani in Padova (Italian) (with C. Fanin and D. Toniolo), technical report DFPD 02/EI/31, Department of Physics "G. Galilei", University of Padua. 58. Compactly supported circular harmonics: fast, robust and efficient 2D pattern recognition, (with D. Toniolo), technical report DFPD 02/EI/32, Department of Physics "G. Galilei", University of Padua. 59. Una discussione matematica sulla rappresentazione ed il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione informatica degli affreschi nella Chiesa degli Eremitani in Padova (Italian), nota interna DFPD 99/EI/24, Department of Physics "G. Galilei", University of Padua.

Publications

Preprints.

1. Existence of minimizers of the Mumford and Shah functional with singular operators in two space dimensions (with R. March), preprint, 2009.

Submitted preprints to refereed journals.

2. Fluid dynamic description of flocking via Povzner-Boltzmann equation (with J. Haskovec G. Toscani), submitted to Physica D (nonlinear phenomena), Dec. 2009, 19 pp. [ .pdf ]
3. A kinetic flocking model with diffusion (with R. Duan and G. Toscani), submitted to Commun. Math. Phys., Sept. 2009, 43 pp. [ .pdf ]
4. Multilevel preconditioning for adaptive sparse optimization (with S. Dalhke and T. Raasch), submitted to Math. Comput., Aug. 2009, 48 pp. [ .pdf ]
5. A convergent overlapping domain decomposition method for total variation minimization (with A. Langer and C.-B. Schoenlieb), submitted to Numer. Math., May 2009, 35 pp. [ .pdf ] [ Matlab software and simulations ]

Refereed journal papers.

6. Iterative thresholding meets free-discontinuity problems (with R. Ward), to appear Found. Comput. Math., 2010, 46 pp. [ .pdf ]
7. Asymptotic flocking dynamics for the kinetic Cucker-Smale model (with J. A. Carrillo, J. Rosado, and G. Toscani), to appear in SIAM. J. Math. Anal., 2010, 19 pp. [ .pdf ]
8. Optimal adaptive computation in the Jaffard algebra and localized frames (with S. Dahlke and K. Groechenig), J. Approx. Theory, Vol. 162, no. 1, 2010, pp. 153-185. [ .pdf ]
9. Subspace correction methods for total variation and l1-minimization, (with C. Schoenlieb), SIAM J. Numer. Anal., Vol. 47, no. 5, 2009, pp. 3397-3428 [ .pdf ] [ Matlab software and simulations ]
10. Iteratively re-weighted least squares minimization for sparse recovery, (with I. Daubechies, R. DeVore, and S. Gunturk), Commun. Pure Appl. Math., Vol. 63, no. 1, 2010, pp. 1-38 [ .pdf ], [ poster ], Matlab code [ irwls_main.m , it_min_l2_w_fast.m ]
11. A comparison of joint sparsity and total variation minimization algorithms in a real-life art restoration problem (with G. Teschke and R. Ramlau), Adv. Comput. Math., Vol. 31, Nos 1-3, 2009, pp. 301-329[ .pdf ] [ Simulation movie ]
12. Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments (with S. Dahlke, M. Primbs, T. Raasch, M. Werner), Numerical Methods for Partial Differential Equations, Vol. 25, no. 6 ,2009, pp. 1366-1401, 2008, 43 pp. [ .pdf ]
13. Iterative thresholding algorithms (with H. Rauhut), Appl. Comput. Harmon. Anal., Vol. 25, No. 2, 2008, pp. 187-208 [ .pdf ]
14. Adaptive frame methods for nonlinear variational problems (with M. Charina and C. Conti), Numer. Math., Vol. 109, No. 1, 2008, pp. 45-75 [ .pdf ]
15. Domain decomposition methods for linear inverse problems with sparsity constraints, Inverse Problems, Vol. 23, 2007, pp. 2505-2526. [ .pdf ]
16. Accelerated projected gradient method for linear inverse problems with sparsity constraints (with I. Daubechies and I. Loris), J. Fourier Anal. Appl., Vol. 14, No. 5-6, 2008, pp. 764-792. [ .pdf ]
17. Recovery algorithms for vector valued data with joint sparsity constraints (with H. Rauhut), SIAM J. Numer. Anal., Vol. 46, No. 2, 2008, pp. 577-613 [ .pdf ]
18. Restoration of color images by vector valued BV functions and variational calculus (with R. March), SIAM J. Appl. Math., Vol. 68 No. 2, 2007, pp. 437-460. [ .pdf ] This article has been used for public awareness by SIAM (Society of Industrial and Applied Mathematics) [ link ], see directly [ .pdf ]
19. Adaptive iterative thresholding algorithms for magnetoencephalography (MEG) (with F. Pitolli), J. Comput. Appl. Math., Vol. 221 No. 2, 2008, pp. 386-395 [ .pdf ] extended preprint (with more proofs and comments) [ .pdf ]
20. Sampling theorems on bounded domains (with L. Gori), J. Comput. Appl. Math., 2007, Vol. 221 No. 2, 2008, pp. 376-385.
21. Generalized coorbit theory, Banach frames, and the relation to alpha-modulation spaces (with S. Dahlke, H. Rauhut, G. Steidl, and G. Teschke), Proc. London Math. Soc., 96, No. 2, 2008, pp. 464-506. [ .pdf ]
22. Adaptive frame methods for elliptic operator equations: the steepest descent approach (with S. Dahlke, T. Raasch, R. Stevenson and M. Werner), IMA J. Numer. Anal., Vol. 27 No. 4, 2007, pp. 717-740 [ .pdf ]
23. Banach frames for alpha-modulation spaces, Appl. Comp. Harmon. Anal., Vol. 22, No. 2, 2007, pp. 157-175. [ .pdf ]
24. Adaptive frame methods for elliptic operator equations, (with S. Dahlke and T. Raasch) Adv. Comp. Math., Vol. 27 No. 1, 2007, pp. 27-63 [ .pdf ]
25. On some stability results of localized atomic decompositions, Rend. Mat. Appl., No. 26, 2006, pp. 315-325.
26. Nonlinear projection recovery in digital inpainting for color image restoration, J. Math. Imaging Vis. Vol. 24, No. 3, 2006, pp. 359-373.
27. Flexible Gabor-wavelet atomic decompositions for L2 Sobolev spaces (with H. G. Feichtinger), Ann. Mat. Pura Appl. Vol. 185(4), No. 1, 2006, pp. 105-131. [ .pdf ]
28. Continuous frames, function spaces, and the discretization problem (with H. Rauhut), J. Fourier Anal. Appl., Vol. 11, No. 3, 2005, pp. 245-287. [ .pdf ]
29. Intrinsic localization of frames (with K. Groechenig), Constr. Approx., Vol. 22, 2005, pp. 395-415. [ .pdf ]
30. Fast homogenization algorithm based on asymptotic theory and multiscale schemes (with M. Morandi Cecchi), Numer. Algorithms, Vol. 40, No. 2, 2005, pp. 171-186
31. Fast, robust, and efficient 2D pattern recognition for re-assembling fragmented images (with D. Toniolo), Pattern Recognition, Vol. 38, 2005, pp. 2074-2087. [ .pdf ] [ Simulation movie ] (by Rocco Cazzato [ link ])
32. Quasi-orthogonal decompositions of structured frames, J. Math. Anal. Appl. Vol. 289, No. 1, 2004, pp. 180-199.
33. Function spaces inclusions and rate of convergence of Riemann-type sums in numerical integration, Numer. Funct. Anal. Opt., Vol. 24, Nos. 1 & 2, 2003, pp. 45-57.

Conference papers

34. Mathematical methods for spectral image reconstruction (with W. Baatz and J. Haskovec), Proceedings of the workshop Scientific Computing for Cultural Heritage, Heidelberg Germany, November 2009.
35. Binary based fresco restoration (with W. Baatz, P. Markowich, and C.-B. Schönlieb), Proceedings of the conference Bridge 2009: Mathematics, Music, Art, Architecture, Culture, 337-338 pp. [ .pdf ]
36. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Proceedings of the IMA Mathematics of Surfaces XIII conference, 2009 [ .pdf ]
37. Domain decomposition methods for compressed sensing (with A. Langer and C.-B. Schönlieb), Proc. Int. Conf. SampTA09, Marseilles, 2009 [ .pdf ]
38. Electric current density imaging via an accelerated iterative algorithm with joint sparsity constraints (with G. Bretti and F. Pitolli), Proc. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, 2009 [ .pdf ]
39. Mathematics enters the picture, Proceedings of the conference Mathknow 2008 [ .pdf ]
30. Iteratively Re-weighted Least Squares Minimization: Proof of Faster than Linear Rate for Sparse Recovery (with I. Daubechies, R. DeVore, and S. Gunturk), Information Sciences and Systems, 2008. CISS 2008. 42nd Annual Conference on Volume , Issue , 19-21 March 2008 pp. 26-29 [ .pdf ]
41. Inpainting of ancient Austrian frescoes (with W. Baatz, C.-B. Schoenlieb, and P. Markowich), International Conference Bridges: Mathematical Connections in Art, Music, and Science, 2008.
42. Faithful recovery of vector valued functions from incomplete data. Recolorization and art restoration, Lecture Notes in Computer Science, Volume 4485/2007, Proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision (Sgallari, Fiorella; Murli, Almerico; Paragios, Nikos Eds.), 2007, pp. 116-127.
43. On elementary sampling theorems on bounded domains (with L. Gori), Proc. Int. Conf. ICNAAM 2005 (Ed. Simos Theodore S. et al.), Weinheim: Wiley-VHC, pp. 619-623.
44. Building a bridge between Gabor and wavelet worlds, Mini-Workshop: Wavelets and Frames, Feb. 15-21 2004, Oberwolfach Reports, 1(1), 2004, pp. 490-494.
45. Decompositions of Hilbert spaces: local construction of global frames, Proc. Int. Conf. Constructive Function theory 2002, Varna, DARBA, Sofia, 2003, pp. 275-281. [ .pdf ]

Books and book Chapters

46. Particle, kinetic, hydrodynamic models of swarming (with J. A. Carrillo, G. Toscani, and F. Vecil), within the book “Mathematical modeling of collective behavior in socio-economic and life-sciences”, Birkhäuser (in preparation, Eds. Lorenzo Pareschi, Giovanni Naldi, and Giuseppe Toscani), 2010. [ .pdf ]
47. Numerical methods for sparse recovery within the book “Theoretical Foundations and Numerical Methods for Sparse Recovery”, (Ed. Massimo Fornasier, with further contributions by Antonin Chambolle, David Donoho, Ronny Ramlau, Holger Rauhut, Jared Tanner, Gerd Teschke, and Mariya Zhariy) Radon Series in Applied and Computational Mathematics, de Gruyter (in preparation), 2010
48. (book) Theoretical Foundations and Numerical Methods for Sparse Recovery, Ed. by Massimo Fornasier (with contributions by Antonin Chambolle, David Donoho, Ronny Ramlau, Holger Rauhut, Jared Tanner, Gerd Teschke, and Mariya Zhariy) Radon Series on Computational and Applied Mathematics, de Gruyter publ., 2010
49. Compressed Sensing -- An Introduction (with Holger Rauhut), book chapter in the "Handbook of Mathematical Methods in Imaging" which will be published by Springer, Science+Business Media.
50. Il Progetto Mantegna: storia e risultati (Italian) (with R. Cazzato, G. Costa, A. Dal Farra, D. Toniolo, D. Tosato, C. Zanuso), in "Andrea Mantegna. La Cappella Ovetari a Padova" (Anna Maria Spiazzi, Alberta De Nicolo' Salmazo, Domenico Toniolo eds.), Skira, 2006. [ .pdf ] Buy the book [ link ]
51. Computer-based re-composition of the frescoes in the Ovetari Chapel in the Church of the Eremitani in Padua. Methodology and initial results, (Italian/English) (with D. Toniolo), in "Mantegna nella chiesa degli Eremitani a Padova. Il recupero possibile" Ed. Skira, May 2003, pp. 15-23.

Miscellaneous

53. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Habilitationsschrift, Faculty of Mathematics, University of Vienna, January 2008, pp. 426. [ .pdf ]
54. Introduzione all'analisi armonica numerica (Italian), Lecture notes, 2003, second edition, 2007 112 pp. [ .pdf ]
55. Constructive Methods for Numerical Applications in Signal Processing and Homogenization Problems, PhD thesis, University of Padua, Dec. 2002.
56. Un metodo per la rappresentazione e il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione virtuale degli affreschi della Chiesa degli Eremitani in Padova (Italian), Laurea thesis, Department of Pure and Applied Mathematics, University of Padua, Oct. 1999.
57. Proposta per una anastilosi informatica degli affreschi della Capella Ovetari nella Chiesa degli Eremitani in Padova (Italian) (with C. Fanin and D. Toniolo), technical report DFPD 02/EI/31, Department of Physics "G. Galilei", University of Padua.
58. Compactly supported circular harmonics: fast, robust and efficient 2D pattern recognition, (with D. Toniolo), technical report DFPD 02/EI/32, Department of Physics "G. Galilei", University of Padua.
59. Una discussione matematica sulla rappresentazione ed il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione informatica degli affreschi nella Chiesa degli Eremitani in Padova (Italian), nota interna DFPD 99/EI/24, Department of Physics "G. Galilei", University of Padua.