Introduction to advanced tomography

Introduction to advanced tomography

Instructors: Lars Pilgaard Mikkelsen

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11 modules

Gain insight into a topic and learn the fundamentals.

67 reviews

3 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

11 modules

Gain insight into a topic and learn the fundamentals.

67 reviews

3 weeks to complete

at 10 hours a week

Flexible schedule

Learn at your own pace

Skills you'll gain

Tools you'll learn

Details to know

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Assessments

40 assignments

Taught in English

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There are 11 modules in this course

In this course you get the chance to get teaching and hands-on experience with the complete workflow of high-resolution tomography analysis. You will get introduced to data acquisition, 3D reconstruction, segmentation and meshing and, finally, 3D modelling of data to extract physical parameters describing mechanical and flow properties. The teaching and the exercises will take place in close interaction with top experts in the field. Exercises will require some basic programming skills, and will be carried out in a common python environment.

This modules introduces the course and the philosophy behind its structure

What's included

1 video1 reading1 discussion prompt

What's included

5 videos1 reading4 assignments

5 videos Total 58 minutes

What is tomography 11 minutes
X-ray imaging 5 minutes
Resolution and length scales 8 minutes
Discovering materials microstructure and function (Rajmund Mokso) 14 minutes
Applications of ... (Rajmund Mokso) 20 minutes

1 reading Total 10 minutes

Applications of tomography 10 minutes

4 assignments Total 24 minutes

Resolution, reflect upon what it is 5 minutes
Use of tomography 4 minutes
X-ray based tomography 10 minutes
Resolution 5 minutes

What's included

3 videos2 assignments1 ungraded lab

What's included

5 videos3 assignments

5 videos Total 30 minutes

Facilities 7 minutes
Tomography experiments 4 minutes
Maxlab 4 (Henning Friis) 9 minutes
DTU Imaging Center (Henning Friis) 6 minutes
Manchester Imaging Facility (Jakob Sauer Jørgensen) 4 minutes

3 assignments Total 7 minutes

Synchrotron facilities 2 minutes
Large scale facilities and lab experiements 4 minutes
Synchrotron versus lab-systems 1 minute

What's included

5 videos1 reading5 assignments

5 videos Total 79 minutes

Workflow 9 minutes
Composite materials for wind turbines 12 minutes
Chalk 14 minutes
Fiber case (Lars Pilgaard Mikkelsen) 16 minutes
Chalk (Henning Osholm) 28 minutes

1 reading Total 10 minutes

Supplementary reading on the composite case 10 minutes

5 assignments Total 76 minutes

Pipeline 0 minutes
Fibers for wind turbines 15 minutes
Chalk 30 minutes
Workflow 1 minute
Summary questions on the fiber case 30 minutes

What's included

16 videos11 assignments8 ungraded labs

16 videos Total 154 minutes

Introduction to tomography 5 minutes
Understanding the origin of the sinogram 3 minutes
Back-projection and filtered back-projection 6 minutes
Fourier reconstruction 5 minutes
Filtered back projection, part 2 8 minutes
Iterative reconstruction 5 minutes
X-ray tomography (Manuel Guizar-Sicairos) 40 minutes
Tomographic reconstruction (Jakob Sauer Jørgensen) 1 minute
Tomography basics (Jakob Sauer Jørgensen) 6 minutes
Radon transform (Jakob Sauer Jørgensen) 6 minutes
Filtered back projection (Jakob Sauer Jørgensen) 19 minutes
Summary of filtered back projection reconstruction (Jakob Sauer Jørgensen) 2 minutes
Data corrections (Jakob Sauer Jørgensen) 6 minutes
Software and summary (Jakob Sauer Jørgensen) 5 minutes
Iterative reconstruction (Jakob Sauer Jørgensen) 25 minutes
Regularization (Jakob Sauer Jørgensen) 12 minutes

11 assignments Total 122 minutes

Getting started with tomography 30 minutes
Tomographic reconstruction 5 minutes
Iterative reconstruction 7 minutes
Filtered back-projection and data corrections 15 minutes
Iterative and regularized reconstruction 15 minutes
Filtered back-projection 5 minutes
Fourier reconstruction 5 minutes
Filtered back-projection, part 2 3 minutes
Reconstruction 7 minutes
Lambert-Beer and the Radon transform 15 minutes
Misc. reconstruction 15 minutes

8 ungraded labs Total 245 minutes

Recon 1: Basic data simulation and reconstruction by FBP 30 minutes
Recon 2: Loading and preprocessing data 30 minutes
Recon 3: FBP reconstruction of chalk data (parallel beam) 30 minutes
Recon 4: Iterative reconstruction methods 45 minutes
Recon 5: The fan-beam geometry 20 minutes
Recon 6: Region-of-interest data 30 minutes
Recon 7: Reconstruction of fiber data: bundles (large field of view) 30 minutes
Recon 8: Reconstruction of fiber data: fibres (small field of view) 30 minutes

What's included

2 videos2 assignments

What's included

5 videos7 assignments5 ungraded labs3 plugins

5 videos Total 32 minutes

Introduction to segmentation 8 minutes
Image and volume segmentation (Vedrana Andersen Dahl) 10 minutes
Segmentation strategies (Vedrana Andersen Dahl) 8 minutes
Segmentation exercise - Fibers (Vedrana Andersen Dahl) 3 minutes
Segmentation exercise - Chalk (Vedrana Andersen Dahl) 4 minutes

7 assignments Total 66 minutes

Thresholding - Example 2 30 minutes
Thresholding - Example 3 5 minutes
Thresholding - Example 1 5 minutes
Image and volume segmentation 10 minutes
Segmentation strategies 10 minutes
Segmentation exercise - Fibers 1 minute
Segmentation exercise - Chalk 5 minutes

5 ungraded labs Total 150 minutes

Segmentation - introduction 30 minutes
Segmentation - filtering 30 minutes
Segmentation - Fibres 30 minutes
Segmentation - Chalk processing 30 minutes
Segmentation - Chalk segmentation 30 minutes

3 plugins Total 3 minutes

Threshold - Simple 1 minute
Threshold - Noise 1 minute
Threshold - Jellyfish 1 minute

What's included

2 videos

What's included

10 videos6 assignments1 discussion prompt7 ungraded labs

10 videos Total 121 minutes

Simple modelling 8 minutes
Introduction to finite element modelling 9 minutes
Simple example of finite element modelling 4 minutes
Summary of the cases 17 minutes
Axial stiffness prediction of a fiber case (Lars Pilgaard Mikkelsen) 16 minutes
Getting started with CALFEM for python (case 0) 9 minutes
Tensile test of a rectangular material box (Case 1) 25 minutes
One fiber in a matrix box (case 2) 10 minutes
Multiple fibers in a matrix box (Case 3) 14 minutes
Bundle structure in a matrix box (case 4) 9 minutes

6 assignments Total 60 minutes

Stiffness of the material box in the case of plane strain 10 minutes
Stiffness of the one fiber in a matrix box in the case of refined mesh 15 minutes
Finite element of a uni-axial tensile test 5 minutes
Finite element modelling 5 minutes
Estimate of the transverse stiffness if a composite material 15 minutes
Stiffness of the fiber composite material 10 minutes

1 discussion prompt Total 10 minutes

Suggestion of subjects for x-ray and FE-modelling 10 minutes

7 ungraded labs Total 145 minutes

Case0-Introduction notebook 15 minutes
Case1-MatrixBox 25 minutes
Case2-OneFiberMatrixBox 15 minutes
Case3-MultiFibersMatrixBox 15 minutes
Segmentation - bundle meshing 30 minutes
Case4-BundleMatrixBox 15 minutes
Segmentation - Chalk meshing 30 minutes

Short presentation of the instructors and in the Honors part work with other cases

What's included

6 readings2 ungraded labs

Instructors

Instructor ratings

(21 ratings)

Lars Pilgaard Mikkelsen

Technical University of Denmark (DTU)

2 Courses 177,277 learners

Jens Wenzel Andreasen

Technical University of Denmark (DTU)

3 Courses 139,924 learners

Vedrana Andersen Dahl

Technical University of Denmark (DTU)

1 Course 5,213 learners

Offered by

Technical University of Denmark (DTU)

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Reviewed on Apr 24, 2020

Excellent basics on tomography and research oriented course.

Reviewed on Apr 13, 2025

Learning lessons are in-depth, explaining various methods in Computed Tomography with real-life examples. Thank you for making this course.

Reviewed on Oct 9, 2022

Very complete course, it explained the workflow with high precision and good examples. The mathematical background can help you if you want to go deeper in tomography.

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