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2008

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Full-Text Articles in Mathematics

Analysis On The Strip-Based Projection Model For Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang Jun 2008

Analysis On The Strip-Based Projection Model For Discrete Tomography, Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang

Xiezhang Li

Discrete tomography deals with image reconstruction of an object with finitely many gray levels (such as two). Different approaches are used to model the raw detector reading. The most popular models are line projection with a lattice of points and strip projection with a lattice of pixels/cells. The line-based projection model fits some applications but involves a major approximation since the x-ray beams of finite widths are simplified as line integrals. The strip-based projection model formulates projection equations according to the fractional areas of the intersection of each strip-shaped beam and the rectangular grid of an image to be reconstructed, …