Who invented the Radon transform?

Johann Radon
The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes (integrating over lines is known as the X-ray transform).

What is a Sinogram math?

The Radon transform of an image represented by the function f(x,y) can be defined as a series of line integrals through f(x,y) at different offsets from the origin. The plot of the Radon transform, or scanner data, is referred to as a sinogram due to its characteristic sinusoid shape.

What is reconstruction algorithm?

The reconstruction kernel, also referred to as “filter” or “algorithm” by some CT vendors, is one of the most important parameters that affect the image quality. A sharper kernel generates images with higher spatial resolution, but increases the image noise.

What does the Radon transform do?

The Radon transform is an integral transform whose inverse is used to reconstruct images from medical CT scans. A technique for using Radon transforms to reconstruct a map of a planet’s polar regions using a spacecraft in a polar orbit has also been devised (Roulston and Muhleman 1997).

Is Radon transform linear?

e Radon transform is in fact a linear transformation, which can be seen by the fol- lowing calculations.

What is Sinogram procedure?

A sinogram is a similar procedure done to assess a sinus, an abnormal passage or cavity that originates or ends in one opening, often on the skin. Contrast material is used to help fill the track and determine what parts of your body are involved.

What is a Sinogram image?

A fistulogram is a medical test that uses fluoroscopy and contrast material to produce images of an abnormal passage within the body called a fistula. Similarly, a sinogram assesses an abnormal passage called a sinus that originates or ends in one opening, often on the skin.

How is a Sinogram created?

In CT and SPECT imaging, a sinogram is generated by rotating detectors around a patient, and storing the detected projection profiles at each angle in the sinogram, as depicted in the gif above.

What is 2D Fourier transform?

The Fourier Transform ( in this case, the 2D Fourier Transform ) is the series expansion of an image function ( over the 2D space domain ) in terms of “cosine” image (orthonormal) basis functions. The FT tries to represent all images as a summation of cosine-like images.

What is Sinogram in CT?

A sinogram is a special x-ray procedure that is done to visualize any abnormal opening (sinus) in the body, following the injection of contrast media (x-ray dye) into the opening.

What is a sinogram used to diagnose?

A sinogram is a similar procedure done to assess a sinus, an abnormal passage or cavity that originates or ends in one opening, often on the skin. Contrast material is used to help identify the start of the fistula/sinus, its pathway and what organs are involved. What are some common uses of the procedure?

What is the projection of each row in a sinogram?

Each row in the sinogram is the projection of that slice along the angle associated with that row.

What is the difference between a sinogram and a fistulogram?

A fistulogram uses a form of real-time x-ray called fluoroscopy and a barium-based contrast material to produce images of an abnormal passage within the body called a fistula. Similarly, a sinogram assesses an abnormal passage called a sinus that originates or ends in one opening, often on the skin.