An analog of Chang inversion formula for weighted Radon transforms in multidimensions
Fedor Goncharov (MIPT), Roman Novikov (CMAP)
TL;DR
This paper develops an analog of Chang's inversion formula for weighted Radon transforms in multiple dimensions, identifying conditions for exactness and exploring applications in 3D tomography.
Contribution
It introduces a new inversion formula for weighted Radon transforms and characterizes weights for which the formula is exact, with potential applications in 3D imaging.
Findings
Derived an analog of Chang's inversion formula for multidimensional weighted Radon transforms
Identified all weights for which the inversion formula is exact
Suggested applications in 3D tomography
Abstract
In this work we study weighted Radon transforms in multidimensions. We introduce an analog of Chang approximate inversion formula for such transforms and describe all weights for which this formula is exact. In addition, we indicate possible tomographic applications of inversion methods for weighted Radon transforms in 3D.
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Taxonomy
TopicsMedical Imaging Techniques and Applications · Seismic Imaging and Inversion Techniques · Medical Image Segmentation Techniques