2019/11/09 by Fedor Goncharov, Goncharov, Fedor
Medicine · Engineering · Earth and Planetary Sciences · #Medical Imaging Techniques and Applications #Advanced X-ray and CT Imaging #Seismic Imaging and Inversion Techniques
paper · pdf · doi:10.48550/arxiv.1911.05470
In this work we investigate numerically the reconstruction approach proposed\nin Goncharov, Novikov, 2016, for weighted ray transforms (weighted Radon\ntransforms along oriented straight lines) in 3D. In particular, the approach is\nbased on a geometric reduction of the data modeled by weighted ray transforms\nto new data modeled by weighted Radon transforms along two-dimensional planes\nin 3D. Such reduction could be seen as a preprocessing procedure which could be\nfurther completed by any preferred reconstruction algorithm. In a series of\nnumerical tests on modelized and real SPECT (single photon emission computed\ntomography) data we demonstrate that such procedure can significantly reduce\nthe impact of noise on reconstructions.\n