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

• Grant number: 09/15844-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2010
• End date: March 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Alvaro Rodolfo de Pierro
• Grantee: Eduardo Xavier Miqueles
• Host 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.. 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. (09/15844-4)

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. (09/15844-4)

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. (09/15844-4)

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. (02/07153-2, 09/15844-4)