Radon transform
Videos
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the space of lines in the plane, whose value at a particular lin
Example of reconstruction via the Radon transform using observations from different angles. The applied inversion to the projection data then reconstructs the slice image.
Tomographic reconstruction
Videos
Tomographic reconstruction is a type of multidimensional inverse problem where the challenge is to yield an estimate of a specific system from a finite number of projections. The mathematical basis fo
Radon transform
…of the Radon transform can be used to reconstruct the original density from the projection data, and thus it forms the mathematical underpinning for tomographic reconstruction, also known as iterative reconstruction. The Radon transform data is often called a sinogram because the Radon transform of an off-center point source…
Resulting tomographic image from a plastic skull phantom. Projected X-rays are clearly visible on this slice taken with a CT-scan as image artifacts, due to limited amount of projection slices over angles.
A fan-beam reconstruction of Shepp-Logan Phantom with different sensor spacing. Smaller spacing between the sensors allow finer reconstruction. The figure was generated by using MATLAB.