On the inversion of the generalized Radon Transform: new results in fluorescence tomography

• Grant number: 09/15844-4
• Support type: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): April 01, 2010
• Effective date (End): March 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal researcher: Alvaro Rodolfo de Pierro
• Grantee: Eduardo Xavier Miqueles
• Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

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 consequences of our results in the case of Emission Tomography (SPECT). (AU)

Scientific publications

(4)

(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)

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.

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.

MIQUELES, EDUARDO X.; DE PIERRO, ALVARO RODOLFO. On the Inversion of the xfct Radon Transform. STUDIES IN APPLIED MATHEMATICS, v. 127, n. 4, p. 394-419, NOV 2011. Web of Science Citations: 3.

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.