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- W4362653676 abstract "In this paper, we present methods for identifying an image from a given set of Radon projections. Given a suitably regular 2-D or 3-D function, we form a new function <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>g</i> from <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>f</i> using a linear transformation. We show how the Radon projections of <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>f</i> and <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>g</i> can be used to determine the transformation. The proposed algorithms introduce three major contributions, (1) Improvements on the 2-D setting using the moments of the Radon projections with only two orthogonal projections. (2) A natural extension of the 2-D setting to work with the 3-D setting. In particular, reducing the 3-D problem to a 2-D problem so that we can recover a translation, a scaling, or a rotation transformation of a 3-D object in the Radon domain. (3) An efficient method of recovering a rotation of a 3-D image around an arbitrary axis and an angle of rotation." @default.
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- W4362653676 date "2023-01-01" @default.
- W4362653676 modified "2023-10-16" @default.
- W4362653676 title "Advancements in 2D/3D Image Registration Methods" @default.
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- W4362653676 doi "https://doi.org/10.1109/access.2023.3264968" @default.
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