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Introduction to advanced tomography
  • Level Foundation
  • المدة 30 ساعات hours
  • الطبع بواسطة Technical University of Denmark (DTU)
  • Offered by

عن

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.

الوحدات

Getting started with the course

    • 1 Videos
    • 1 Readings
    • 1 Discussion
Show info about module content

1 Discussions

  • Expectations

1 Videos

  • Introduction video

1 Readings

  • Welcome to Introduction to Advanced Tomography

Introduction to tomography

    • 3 Videos
    • 2 Assignment
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2 Assignment

  • Use of tomography
  • X-ray based tomography

3 Videos

  • What is tomography
  • X-ray imaging
  • Resolution and length scales

Applications of tomography

    • 2 Videos
    • 1 Readings
    • 2 Assignment
Show info about module content

2 Assignment

  • Resolution
  • Resolution, reflect upon what it is

2 Videos

  • Discovering materials microstructure and function (Rajmund Mokso)
  • Applications of ... (Rajmund Mokso)

1 Readings

  • Applications of tomography

Handling data

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Jupyter notes

1 Videos

  • Handling data

Getting started with Jupyter notes and Python

    • 2 Videos
    • 1 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Python primer

1 Labs

  • Introduction to Jupyter notebooks and Python

2 Videos

  • Introduction to Jupyter notes (Nicolai Riis)
  • Using Jupyter notes beyond this course (Nicolai Riis)

Large scale facilities and laboratory equipment

    • 2 Videos
    • 2 Assignment
Show info about module content

2 Assignment

  • Synchrotron facilities
  • Large scale facilities and lab experiements

2 Videos

  • Facilities
  • Tomography experiments

Facilities

    • 3 Videos
    • 1 Assignment
Show info about module content

1 Assignment

  • Synchrotron versus lab-systems

3 Videos

  • Maxlab 4 (Henning Friis)
  • DTU Imaging Center (Henning Friis)
  • Manchester Imaging Facility (Jakob Sauer Jørgensen)

What do we want to achieve?

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Pipeline

1 Videos

  • Workflow

Composite case

    • 1 Videos
    • 1 Assignment
Show info about module content

1 Assignment

  • Fibers for wind turbines

1 Videos

  • Composite materials for wind turbines

Chalk case

    • 1 Videos
    • 1 Assignment
Show info about module content

1 Assignment

  • Chalk

1 Videos

  • Chalk

Quiz on workflow

    • 1 Assignment
Show info about module content

1 Assignment

  • Workflow

Extra on composite case

    • 1 Videos
    • 1 Readings
    • 1 Assignment
Show info about module content

1 Assignment

  • Summary questions on the fiber case

1 Videos

  • Fiber case (Lars Pilgaard Mikkelsen)

1 Readings

  • Supplementary reading on the composite case

Extra on chalk case

    • 1 Videos
Show info about module content

1 Videos

  • Chalk (Henning Osholm)

Reconstruction

    • 5 Videos
    • 5 Assignment
Show info about module content

5 Assignment

  • Getting started with tomography
  • Tomographic reconstruction
  • Filtered back-projection
  • Fourier reconstruction
  • Filtered back-projection, part 2

5 Videos

  • Introduction to tomography
  • Understanding the origin of the sinogram
  • Back-projection and filtered back-projection
  • Fourier reconstruction
  • Filtered back projection, part 2

Algebraic reconstruction

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Iterative reconstruction

1 Videos

  • Iterative reconstruction

Summary quiz

    • 1 Assignment
Show info about module content

1 Assignment

  • Reconstruction

Data formation and Filtered back-projection reconstruction

    • 6 Videos
    • 1 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Lambert-Beer and the Radon transform

1 Labs

  • Recon 1: Basic data simulation and reconstruction by FBP

6 Videos

  • X-ray tomography (Manuel Guizar-Sicairos)
  • Tomographic reconstruction (Jakob Sauer Jørgensen)
  • Tomography basics (Jakob Sauer Jørgensen)
  • Radon transform (Jakob Sauer Jørgensen)
  • Filtered back projection (Jakob Sauer Jørgensen)
  • Summary of filtered back projection reconstruction (Jakob Sauer Jørgensen)

Reconstruction of real data: Parallel-beam synchrotron, chalk case

    • 2 Videos
    • 2 Lab
    • 2 Assignment
Show info about module content

2 Assignment

  • Filtered back-projection and data corrections
  • Misc. reconstruction

2 Labs

  • Recon 2: Loading and preprocessing data
  • Recon 3: FBP reconstruction of chalk data (parallel beam)

2 Videos

  • Data corrections (Jakob Sauer Jørgensen)
  • Software and summary (Jakob Sauer Jørgensen)

Iterative and regularized reconstruction

    • 2 Videos
    • 1 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Iterative and regularized reconstruction

1 Labs

  • Recon 4: Iterative reconstruction methods

2 Videos

  • Iterative reconstruction (Jakob Sauer Jørgensen)
  • Regularization (Jakob Sauer Jørgensen)

Fan-beam and region-of-interest data

    • 2 Lab
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2 Labs

  • Recon 5: The fan-beam geometry
  • Recon 6: Region-of-interest data

Reconstruction of real-data: Cone-beam lab system, fiber case

    • 2 Lab
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2 Labs

  • Recon 7: Reconstruction of fiber data: bundles (large field of view)
  • Recon 8: Reconstruction of fiber data: fibres (small field of view)

Image modalities

    • 2 Videos
    • 2 Assignment
Show info about module content

2 Assignment

  • Contrast mechanism
  • Amplitude and Phase contrast

2 Videos

  • Imaging contrast
  • Amplitude and phase contrast

Segmentation

    • 1 Videos
    • 3 Plugin
    • 3 Assignment
Show info about module content

3 Assignment

  • Thresholding - Example 1
  • Thresholding - Example 2
  • Thresholding - Example 3

1 Videos

  • Introduction to segmentation

Segmentation

    • 2 Videos
    • 2 Lab
    • 2 Assignment
Show info about module content

2 Assignment

  • Image and volume segmentation
  • Segmentation strategies

2 Labs

  • Segmentation - introduction
  • Segmentation - filtering

2 Videos

  • Image and volume segmentation (Vedrana Andersen Dahl)
  • Segmentation strategies (Vedrana Andersen Dahl)

Segmentation of circular geometries: Fibers case

    • 1 Videos
    • 1 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Segmentation exercise - Fibers

1 Labs

  • Segmentation - Fibres

1 Videos

  • Segmentation exercise - Fibers (Vedrana Andersen Dahl)

Segmentation of an arbitrary geometry: Chalk case

    • 1 Videos
    • 2 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Segmentation exercise - Chalk

2 Labs

  • Segmentation - Chalk processing
  • Segmentation - Chalk segmentation

1 Videos

  • Segmentation exercise - Chalk (Vedrana Andersen Dahl)

Computational resources

    • 2 Videos
Show info about module content

2 Videos

  • Computer resources
  • Efficient code

Simple modelling

    • 1 Videos
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1 Videos

  • Simple modelling

Finite element modelling

    • 2 Videos
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2 Videos

  • Introduction to finite element modelling
  • Simple example of finite element modelling

Summary of the cases

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Finite element of a uni-axial tensile test

1 Videos

  • Summary of the cases

Quiz on the finite element modelling

    • 1 Discussion
    • 1 Assignment
Show info about module content

1 Assignment

  • Finite element modelling

1 Discussions

  • Suggestion of subjects for x-ray and FE-modelling

Using FEM for predicting the axial stiffness of a material

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Estimate of the transverse stiffness if a composite material

1 Videos

  • Axial stiffness prediction of a fiber case (Lars Pilgaard Mikkelsen)

Introduction to finite element simulation using Calfem for Python

    • 2 Videos
    • 2 Lab
    • 1 Assignment
Show info about module content

1 Assignment

  • Stiffness of the material box in the case of plane strain

2 Labs

  • Case0-Introduction notebook
  • Case1-MatrixBox

2 Videos

  • Getting started with CALFEM for python (case 0)
  • Tensile test of a rectangular material box (Case 1)

Meshing and modeling of well-defined geometrical elements: Circular fiber case

    • 2 Videos
    • 2 Lab
    • 2 Assignment
Show info about module content

2 Assignment

  • Stiffness of the one fiber in a matrix box in the case of refined mesh
  • Stiffness of the fiber composite material

2 Labs

  • Case2-OneFiberMatrixBox
  • Case3-MultiFibersMatrixBox

2 Videos

  • One fiber in a matrix box (case 2)
  • Multiple fibers in a matrix box (Case 3)

Meshing and modeling of an arbitrary geometrical structure: Bundle case

    • 1 Videos
    • 2 Lab
Show info about module content

2 Labs

  • Segmentation - bundle meshing
  • Case4-BundleMatrixBox

1 Videos

  • Bundle structure in a matrix box (case 4)

Meshing and modeling of an arbitrary geometrical structure: Chalk case

    • 1 Lab
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1 Labs

  • Segmentation - Chalk meshing

Presentation of the instructors

    • 4 Readings
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4 Readings

  • Lars Pilgaard Mikkelsen
  • Jakob Sauer Jørgensen
  • Vedrana Andersen Dahl
  • Jens Wenzel Andreasen

Work with the notebook on other cases

    • 2 Readings
    • 2 Lab
Show info about module content

2 Labs

  • Segmentation notebooks
  • Modeling notebooks

2 Readings

  • Installation instructions
  • Want to learn more?

Auto Summary

Embark on a comprehensive journey into the advanced world of tomography with this engaging course designed for science and engineering enthusiasts. Led by top experts from Coursera, this foundational program offers a blend of teaching and hands-on experience, covering the entire workflow of high-resolution tomography analysis. Dive into crucial topics such as data acquisition, 3D reconstruction, segmentation, meshing, and 3D modeling to extract physical parameters that describe mechanical and flow properties. The course ensures an interactive learning experience, with exercises conducted in a common Python environment, requiring some basic programming skills. Spanning a duration of 1800 minutes, this course is ideal for those looking to build a strong foundation in tomography. Flexible subscription options are available to suit your learning needs. Join now and elevate your expertise in advanced tomography analysis.

Lars Pilgaard Mikkelsen
Instructors

Lars Pilgaard Mikkelsen

Jens Wenzel Andreasen
Instructors

Jens Wenzel Andreasen

Vedrana Andersen Dahl
Instructors

Vedrana Andersen Dahl

Jakob Sauer Jørgensen
Instructors

Jakob Sauer Jørgensen

Henning Osholm Soerensen
Instructors

Henning Osholm Soerensen