TeachingWs14BasicMathTools

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

Basic Mathematical Tools for Imaging and Visualization - IN2124

Administrative Info

Lecture: Dr. Tobias Lasser

Exercises: Dr. Maximilian Baust, Oliver Zettinig


IN2124: 2+2 SWS, 5 ECTS

The lecture is given in English.

Contact

Time & Location

Lecture and exercise:

  • Monday, 16:15 - 17:45, room MI HS 2
  • Thursday, 16:00 - 17:30, room MI HS 2

Exam:

  • Monday, 09/02/2015, 8:30 - 10:00, MI Hörsaal 1
    • Duration: 90 minutes
    • Allowed material: none
    • Exam inspection: March 2, 2015, 10:00 - 11:00 in MI 03.13.010

Repeat exam:

  • Tuesday, 09/04/2015, 14:30 - 16:00, MW 0350
    • Duration: 90 minutes
    • Allowed material: none
    • Exam inspection: tba

Site Content

Announcements

  • The repeat exam will take place on April 9, 2015, from 14:30 - 16:00 in MW 0350.

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.

Script

The script to the lecture is now available (status: 22/01/2015):

Course Schedule

Week Room Type Lecturer Topic Materials Solutions
Thu 9/10/14 MI HS 2 L Tobias Lasser Introduction and Overview  01Administrative.pdf  
Mon 13/10/14 MI HS 2 L Tobias Lasser Linear Algebra  02LinearAlgebra.pdf,  02Script.pdf  
Thu 16/10/14 MI HS 2 E Oliver Zettinig  Exercise 1  windowing.zip,  denoising.zip  Solution 1,  linear_combination.zip
Mon 20/10/14 MI HS 2 L Tobias Lasser Linear Algebra  03LinearAlgebra.pdf,  03Script.pdf  
Thu 23/10/14 MI HS 2 E Oliver Zettinig  Exercise 2  art.zip,  segmentation.zip  Solution 2,  art_randomwalk.zip
Mon 27/10/14 MI HS 2 L Tobias Lasser Linear Algebra  04LinearAlgebra.pdf,  04Script.pdf  
Thu 30/10/14 MI HS 2 E Oliver Zettinig  Exercise 3  Additional Material LUP Decomp.  Solution 3,  decompositions.zip
Mon 3/11/14 MI HS 2 L Tobias Lasser Linear Algebra  05LinearAlgebra.pdf,  05Script.pdf  
Thu 6/11/14 MI HS 2 E Oliver Zettinig  Exercise 4  eigenfaces.zip  Solution 4,  pca_svd.zip
Mon 10/11/14 MI HS 2 L Tobias Lasser Analysis  06Analysis.pdf,  06Script.pdf  
Thu 13/11/14 MI HS 2 E Oliver Zettinig  Exercise 5    Solution 5
Mon 17/11/14 MI HS 2 L Tobias Lasser Analysis  07Analysis.pdf,  07Script.pdf  
Thu 20/11/14 MI HS 2 E Maximilian Baust  Exercise 6    Solution 6
 solutions_exercise_6.zip
Mon 24/11/14 MI HS 2 L Tobias Lasser Analysis  08Analysis.pdf,  08Script.pdf  
Thu 27/11/14 MI HS 2 E Maximilian Baust  Exercise 7    Solution 7
 Diffusion Filtering III solution
Mon 1/12/14 MI HS 2 L Tobias Lasser Optimization  09Optimization.pdf,  09Script.pdf  
Thu 4/12/14       no lecture (Dies Academicus)    
Mon 8/12/14 MI HS 2 E Maximilian Baust  Exercise 8    Solution 8
Thu 11/12/14 MI HS 2   Tobias Lasser, Maximilian Baust Mock Exam & Lecture Evaluation    
Mon 15/12/14 MI HS 2 L Tobias Lasser Optimization  10Optimization.pdf,  10Script.pdf  
Thu 18/12/14 MI HS 2 E Maximilian Baust  Exercise 9    Solution 9
 Newton.zip
Mon 22/12/14 MI HS 2     no lecture (Christmas)    
Holidays   E    Holiday Project    tracking1.zip
Thu 8/1/15 MI HS 2 L Tobias Lasser Probability Theory  11ProbabilityTheory.pdf,  11Script.pdf  
Mon 12/1/15 MI HS 2 E Maximilian Baust  Exercise 10    Solution 10
Thu 15/1/15 MI HS 2 L Tobias Lasser Probability Theory  12ProbabilityTheory.pdf,  12Script.pdf  
Mon 19/1/15 MI HS 2 E Maximilian Baust  Exercise 11    Solution 11
Thu 22/1/15 MI HS 2 L Tobias Lasser Probability Theory  13ProbabilityTheory.pdf,  13Script.pdf  
Mon 26/1/15 MI HS 2 E Maximilian Baust  Exercise 12    Solution 12
Thu 29/1/15       no lecture    
Mon 09/02/15 MI HS 1   Tobias Lasser, Maximilian Baust Exam 8:30am - 10:00am    

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: Dr. Tobias Lasser
Tutors: Dr. Maximilian Baust, Oliver Zettinig
Type: Lecture
Information: 2 + 2 SWS, 5 ECTS Credits (Module IN2124)
Term: 2014WiSe
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.


Edit | Attach | Refresh | Diffs | More | Revision r1.57 - 27 May 2015 - 07:49 - TobiasLasser

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