Title :
Wavelet localization of the Radon transform in even dimensions
Author :
DeStefano, Joe ; Olson, Tim
Author_Institution :
Dept. of Math. & Comput. Sci., Dartmouth Coll., Hanover, NH, USA
Abstract :
One of the phenomena associated with the Radon transform is the following: in odd dimensions, local values of a function f:Rn→R can be determined by local measurements of the integrals of f over (n-1)-dimensional hyperplanes; in even dimensions, local values are globally dependent on the integrals over hyperplanes. The wavelet transform is used to essentially localize the Radon transform in even dimensions. It is believed that this will be significant in the field of medical imaging
Keywords :
medical image processing; wavelet transforms; Radon transform; even dimensions; image processing; integrals over hyperplanes; medical imaging; wavelet transform; Biomedical imaging; Computer science; Density functional theory; Educational institutions; Fourier transforms; Image reconstruction; Mathematics; Tomography; Wavelet transforms; X-rays;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274217
