CV Lattes
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Argentina
Graduated in Mathematics at the University of Buenos Aires (1973), PHd in Applied Mathematics from the Federal University of Rio de Janeiro (1981). Since 1996, Professor of Applied Mathematics at the University of Campinas. He held research and visiting positions at the Institute for Pure and APplied Mathematics (IMPA-RJ, 1985), the University of Pennsylvania (1986-87, Department of Radiology) and the University of California, Los Angeles (2000-01, Department of Mathematics). His main research areas are: inverse problems, image processing and reconstruction, tomography (transmission and emission), linear algebra, computational Fourier Analysis and signal processing. (Source: Lattes Curriculum)
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Tomographic reconstruction created a major impact in Medicine. It has allowed non invasive visualization of anatomic structures, metabolism and function of human body. Over the last 30 years, the progresses on tomographic reconstruction techniques have been enormous, both in terms of quality and performance, as well as on dynamic and tridimensional techniques [Udupa, 2000]. However, there…
(Only some records are available in English at this moment)
Many Inverse Problems, especially in emission and X rays computed tomography, are modeled by large scale systems of linear equations that give rise to ill conditioned mathematical problems. In order to find a stable solution it is necessary to add information not contained in the equations. All this information is used through different models where either an optimization or a feasibility…
In our Doctoral Thesis we built an analytic formula for the inversion of the Generalized Radon Transform corresponding to the fluorescence tomography problem as well as several iterative methods. In this project we propose to continue our previous work improving the implementation of our analytic formula, analysing the possibility of its extension to three dimensions and the possible cons…
In our doctoral dissertation we presented a general framework that includes many known as well as new methods for solving convex feasibility problems and for constrained nondifferentiable optimization. These methods generalize orthogonal projection methods for convex feasibility as well as underrelaxed methods for nondifferentiable convex optimization. This project aims at extending these…
(Only some records are available in English at this moment)
| 9 / 6 | Completed research grants |
| 12 / 5 | Completed scholarships in Brazil |
| 21 / 11 | All research grants and scholarships |
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(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
| Publications | 12 |
| Citations | 84 |
| Cit./Article | 7.0 |
| Data from Web of Science | |
MIQUELES, EDUARDO X.; DE PIERRO, ALVARO R.. On the iterative inversion of generalized attenuated Radon transforms. Journal of Inverse and Ill-Posed Problems, v. 21, n. 5, p. 695-712, OCT 2013. Web of Science Citations: 4. (09/15844-4)
ZIBETTI, MARCELO V. W.; DE PIERRO, ALVARO R.. A New Distortion Model for Strong Inhomogeneity Problems in Echo-Planar MRI. IEEE TRANSACTIONS ON MEDICAL IMAGING, v. 28, n. 11, p. 1736-1753, NOV 2009. Web of Science Citations: 4. (06/06797-4, 02/07153-2)
HELOU NETO, ELIAS SALOMAO; DE PIERRO, ALVARO RODOLFO. On perturbed steepest descent methods with inexact line search for bilevel convex optimization. OPTIMIZATION, v. 60, n. 8-9, SI, p. 991-1008, 2011. Web of Science Citations: 6. (08/10030-6)
MIQUELES, EDUARDO X.; DE PIERRO, ALVARO R.. Iterative Reconstruction in X-ray Fluorescence Tomography Based on Radon Inversion. IEEE TRANSACTIONS ON MEDICAL IMAGING, v. 30, n. 2, p. 438-450, FEB 2011. Web of Science Citations: 17. (09/15844-4)
REEM, DANIEL; DE PIERRO, ALVARO. A new convergence analysis and perturbation resilience of some accelerated proximal forward-backward algorithms with errors. INVERSE PROBLEMS, v. 33, n. 4, APR 2017. Web of Science Citations: 6. (13/19504-9)
REEM, DANIEL; REICH, SIMEON; DE PIERRO, ALVARO. A Telescopic Bregmanian Proximal Gradient Method Without the Global Lipschitz Continuity Assumption. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 182, n. 3, p. 851-884, SEP 2019. Web of Science Citations: 0. (13/19504-9)
REEM, DANIEL; REICH, SIMEON; DE PIERRO, ALVARO. Re-examination of Bregman functions and new properties of their divergences. OPTIMIZATION, v. 68, n. 1, SI, p. 279-348, JAN 2 2019. Web of Science Citations: 3. (13/19504-9)
DE PIERRO, ALVARO R.; CREPALDI, FABIANA. Activity and attenuation recovery from activity data only in emission computed tomography. COMPUTATIONAL & APPLIED MATHEMATICS, v. 25, n. 2-3, p. 205-227, 2006. Web of Science Citations: 14. (02/07153-2)
MIQUELES, EDUARDO X.; DE PIERRO, ALVARO R.. Exact analytic reconstruction in x-ray fluorescence CT and approximated versions. Physics in Medicine and Biology, v. 55, n. 4, p. 1007-1024, FEB 21 2010. Web of Science Citations: 16.
MIQUELES, EDUARDO X.; DE PIERRO, ALVARO R.. C-library raft: Reconstruction algorithms for tomography. Applications to X-ray fluorescence tomography. COMPUTER PHYSICS COMMUNICATIONS, v. 182, n. 12, p. 2661-2673, DEC 2011. Web of Science Citations: 5. (09/15844-4)
REEM, DANIEL; REICH, SIMEON; DE PIERRO, ALVARO. Re-examination of Bregman functions and new properties of their divergences. OPTIMIZATION, v. 68, n. 1, SI, p. 279-348, JAN 2 2019. Web of Science Citations: 3. (13/19504-9)
REEM, DANIEL; REICH, SIMEON; DE PIERRO, ALVARO. A Telescopic Bregmanian Proximal Gradient Method Without the Global Lipschitz Continuity Assumption. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 182, n. 3, p. 851-884, SEP 2019. Web of Science Citations: 0. (13/19504-9)
MIQUELES, EDUARDO X.; DE PIERRO, ALVARO R.. Exact analytic reconstruction in x-ray fluorescence CT and approximated versions. Physics in Medicine and Biology, v. 55, n. 4, p. 1007-1024, FEB 21 2010. Web of Science Citations: 16.
(References retrieved automatically from State of São Paulo Research Institutions)
VERGA, Juliana. Algoritmo para resolução do problema de fluxo multiproduto Fuzzy. Dissertação (Mestrado) - Faculdade de Engenharia Elétrica e de Computação. Universidade Estadual de Campinas (UNICAMP). (05/03414-4)
JIAHONG, Yin. Reconstrução de funções a partir de coeficientes Fourier e de momentos ortogonais : novos metodos. Tese (Doutorado) - Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas (UNICAMP). (96/00837-0)
PEREIRA, Fabiana Crepaldi. Sobre o cálculo de atenuação e de atividade em tomografia por emissão a partir de dados de atividade. Tese (Doutorado) - Instituto de Fisica Gleb Wataghin. Universidade Estadual de Campinas (UNICAMP). (00/06819-1)
YAMAGISHI, Michel Eduardo Beleza. Metodos interativos de decomposição sequencial com mudança de escala em tomografia. Tese (Doutorado) - Instituto de Matematica, Estatistica e Computação Cientifica. Universidade Estadual de Campinas (UNICAMP). (96/09186-2)