TeachingWs17BasicMathTools

Chair for Computer Aided Medical Procedures & Augmented Reality
Lehrstuhl für Informatikanwendungen in der Medizin & Augmented Reality

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Basic Mathematical Tools for Imaging and Visualization - IN2124

Administrative Info

Lecture: PD Dr. Tobias Lasser

Exercises: Anca Stefanoiu, Rüdiger Göbl, Walter Simson


IN2124: 2+2 SWS, 5 ECTS

The course is held in English.

Contact

Time & Location

Lecture and exercise:

  • Monday, 16:00 - 17:30, room Interims Hörsaal 2
  • Tuesday, 12:30 - 14:30, room MW 1801

Exam:

  • Monday, February 12, 2018, 16:30 - 18:00 in MW 2001
    • Duration: 90 minutes
    • Allowed materials: none

Repeat exam:

  • Tuesday, March 27, 2018, 8:00 - 9:30 in Interims Hörsaal 1
    • Duration: 90 minutes
    • Allowed materials: none

Site Content

Announcements

Overview

For the development, but also for the application of many image processing techniques and computer vision algorithms, a deep mathematical understanding is of fundamental importance. This lecture aims to provide interested students with a solid mathematical basis for imaging and visualization applications.

Course Schedule

Date Room Type Lecturer Topic Materials Solutions
Tue, Oct. 17, 2017 MW 1801 L Tobias Lasser Introduction and Overview 01Administrative.pdf, 01ListOfSymbols.pdf  
Mon, Oct. 23, 2017 Int. HS 2 L Tobias Lasser Linear Algebra #1 02Script.pdf, 02LinearAlgebra.pdf  
Tue, Oct. 24, 2017 MW 1801 E Walter Simson, Rüdiger Göbl, Anca Stefanoiu   Assignment_01.pdf exercise01.zip Solution_01.pdf
Mon, Oct. 30, 2017 Int. HS 2 L Tobias Lasser Linear Algebra #2 03Script.pdf
03LinearAlgebra.pdf
 
Mon, Nov. 6, 2017 Int. HS 2 L Tobias Lasser Linear Algebra #3 04Script.pdf, 04LinearAlgebra.pdf  
Tue, Nov. 7, 2017 MW 1801 E Walter Simson   Assignment_02.pdf
art.zip
Solution_02.pdf
Mon, Nov. 13, 2017 Int. HS 2 L Tobias Lasser Linear Algebra #4 05Script.pdf, 05LinearAlgebra.pdf  
Tue, Nov. 14, 2017 MW 1801 E Walter Simson   Assignment_03.pdf
QR.zip
Solution_03.pdf
Mon, Nov. 20, 2017 Int. HS 2 L Tobias Lasser Analysis #1 06Script.pdf, 06Analysis.pdf  
Tue, Nov. 21, 2017 MW 1801 E Walter Simson   Assignment_04.pdf
eigenface.zip
imageCompression.zip
Solution_04.pdf
Mon, Nov. 27, 2017 Int. HS 2 L Tobias Lasser Analysis #2 07Script.pdf, 07Analysis.pdf  
Tue, Nov. 28, 2017 MW 1801 E Walter Simson   Assignment_05.pdf
segmentation.zip
Solution_05.pdf
segmentation_solution.zip
Mon, Dec. 4, 2017 Int. HS 2 L Tobias Lasser A #3, O #1 08Script.pdf, 08Analysis.pdf  
Tue, Dec. 5, 2017 MW 1801 E Rüdiger Göbl   Assignment_06.pdf
exercise06_wise2017.zip
Solution_06.pdf
convolution_edgedetection_solution.zip
Mon, Dec. 11, 2017 Int. HS 2 L Tobias Lasser Optimization #2 09Script.pdf, 09Optimization.pdf  
Tue, Dec. 12, 2017 MW 1801 E Rüdiger Göbl   Assignment_07.pdf
tracking1.zip
Solution_07.pdf
tracking1_sl.zip
Mon, Dec. 18, 2017 Int. HS 2 L Tobias Lasser O 10Script.pdf, 10Optimization.pdf  
Tue, Dec. 19, 2017 MW 1801 E Rüdiger Göbl   Assignment_08.pdf
recon-systems.zip
Solution_08.pdf
tracking2_sl.py
cgreconstruction_sl_v1.py
ex8_newton.zip
Mon, Jan. 8, 2018 Int. HS 2 L Tobias Lasser O 11Script.pdf  
Tue, Jan. 9, 2018 MW 1801 E Rüdiger Göbl   Assignment_09.pdf
recon-systems.zip
Solution_09.pdf tikhonov_solution.zip.py
Mon, Jan. 15, 2018 Int. HS 2 L Tobias Lasser PT 12Script.pdf, 12ProbabilityTheory.pdf  
Tue, Jan. 16, 2018 MW 1801 E Anca Stefanoiu   Assignment_10.pdf
Solution_10.pdf
randomwalk1D.zip
Mon, Jan. 22, 2018 Int. HS 2 L Tobias Lasser PT 13Script.pdf, 13ProbabilityTheory.pdf  
Tue, Jan. 23, 2018 MW 1801 E Anca Stefanoiu   Assignment_11.pdf,
histEq.zip
Solution_11.pdf
histogramEq_solution.zip
Mon, Jan. 29, 2018 no class          
Tue, Jan. 30, 2018 no class          
Mon, Feb. 5, 2018 Int. HS 2 L Tobias Lasser PT 14Script.pdf, 14ProbabilityTheory.pdf  
Tue, Feb. 6, 2018 MW 1801 E Anca Stefanoiu   Assignment_12.pdf Solution_12.pdf
MLEM_solution.zip

Literature

MATLAB

Wolfram Alpha

  • For quickly calculating, plotting, or learning something you might want to have a look at Wolfram Alpha.

Linear Algebra

  • Yousef Saad, Iterative Methods for Sparse Linear Systems, SIAM (You can download the book for free!)
  • Gilbert Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press (Available in the library! Check out his video-lectures on youtube!)
  • Lloyd N. Trefethen and David Bau, Numerical Linear Algebra, SIAM (Available in the library!)

Analysis

  • Walter Rudin, Real and Complex Analysis, McGraw-Hill (Available in the library!)

Optimization

Probability Theory

  • Heinz Bauer, Measure and Integration Theory, deGruyter (Available in the library!)
  • Sheldon Ross, Introduction to probability and statistics for engineers and scientists, Elsevier (Available in the library!)




TeachingForm
Title: Basic Mathematical Tools for Imaging and Visualization
Professor: PD Dr. Tobias Lasser
Tutors: Anca Stefanoiu, Rüdiger Göbl, Walter Simson
Type: Lecture
Information: 2 + 2 SWS, 5 ECTS Credits (IN2124)
Term: 2017WiSe
Abstract: For the development, but also for the application of many image processing techniques and computer vision algorithms, a deep mathematical understanding is of fundamental importance. This lecture aims to provide interested students with a solid mathematical basis for imaging and visualization applications.


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