Title :
Local tomography using wavelets
Author :
Berenstein, Carlos ; Walnut, David
Author_Institution :
Dept. of Math., Maryland Univ., College Park, MD, USA
Abstract :
The authors use the theory of the continuous wavelet transform to derive inversion formulas for the Radon transform. These inversion formulas are local in even dimensions up to an error concentrated in the low frequencies of the phantom. The authors give specific estimates on this error
Keywords :
Radon transforms; computerised tomography; image reconstruction; medical image processing; wavelet transforms; Radon transform; continuous wavelet transform; even dimensions; inversion formulas; local tomography; low frequencies; phantom; Continuous wavelet transforms; Discrete wavelet transforms; Educational institutions; Fourier transforms; Frequency; Imaging phantoms; Mathematics; Tomography; Wavelet transforms;
Conference_Titel :
Engineering in Medicine and Biology Society, 1994. Engineering Advances: New Opportunities for Biomedical Engineers. Proceedings of the 16th Annual International Conference of the IEEE
Conference_Location :
Baltimore, MD
Print_ISBN :
0-7803-2050-6
DOI :
10.1109/IEMBS.1994.412123