Tomography

The PDART Algorithm, Part 2

Figure 2. SIRT (left) and mask (right) at iteration 8.

This is the second of a two-part article on the PDART algorithm. It explains most of the nitty-gritty details. The PDART algorithm needs two extra input parameters to do its magic, a threshold and a gray level. After each SIRT iteration, each pixel of… read more

Submitted on 24 August 2014

The PDART Algorithm, Part 1

Figure 1. Phantom image (left) and SIRT reconstruction (right).

This article is a bit of an experiment. In it, I’ll try to explain PDART, an example of current algorithm research in computed tomography (PDART was published in 2011). What the algorithm does is, in a nutshell, a SIRT reconstruction with intermediate… read more

Submitted on 11 August 2014

Valentine Tomography

Heart

Happy Valentine’s Day! I might not be very romantic, but I had to do something with it. Imaging the heart is an important application of tomography and other techniques in medical imaging. Since hearts are everywhere on Valentine’s Day, let’s scan one. This article builds on… read more

Submitted on 14 February 2013

Tomography, Part 4: Algebra!

The first three articles on tomography focused on analytic techniques, in which the reconstruction problem is attacked using mathematical analysis. When the step to real world scanners is made, the problem is discretized. Both the projections and the reconstruction area are divided into pixels, and a numerical approximation of the true mathematical technique is introduced. The algebraic techniques assume… read more

Submitted on 9 December 2012

Tomography, Part 2: Yes, You Can

Sinograms of box with ball

This article shows that it is possible to reconstruct the inside of a person or object from (lots of) projections of that person or object. Mathematically, tomography is based on the fact that the function values of a two-dimension functional \(f(x,y)\) can be calculated from projections of that function. This basic fact was discovered… read more

Submitted on 11 November 2012

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