Title :
Xfct inversion by generalized ridge functions
Author :
Miqueles, Eduardo X. ; De Pierro, Alvaro R.
Author_Institution :
Appl. Math. Dept., State Univ. of Campinas, Campinas, Brazil
Abstract :
X-Ray fluorescence computed tomography (xfct) aims at reconstructing fluorescence density from emission data given the measured x-ray attenuation. In this paper, inspired by the classical results from Logan & Shepp, we briefly discuss the existence of generalized ridge functions providing the minimal norm solution of the inverse problem. An algorithm to construct such functions is presented, based on results from Kazantsev. Numerical results are also shown, with real and simulated data.
Keywords :
biological organs; biological tissues; cancer; computerised tomography; gynaecology; image reconstruction; medical image processing; numerical analysis; X-ray attenuation; X-ray fluorescence computed tomography; breast tissue; ductal carcinoma structures; fluorescence density reconstruction; generalized ridge functions; inverse problem; minimal norm solution; numerical analysis; Attenuation measurement; Biomedical measurements; Computed tomography; Density measurement; Fluorescence; Image reconstruction; Inverse problems; Mathematics; Synchrotrons; X-ray imaging; attenuation; emission tomography; fluorescence tomography; generalized Radon transform; ridge functions;
Conference_Titel :
Biomedical Imaging: From Nano to Macro, 2010 IEEE International Symposium on
Conference_Location :
Rotterdam
Print_ISBN :
978-1-4244-4125-9
Electronic_ISBN :
1945-7928
DOI :
10.1109/ISBI.2010.5490060
