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 Contact by email	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 Overview Script Course Schedule Literature	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):

• Full script:  bmt2014.pdf

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

• Cleve Moler, first chapter of Numerical Computing with MATLAB, SIAM (You can download the book for free!)

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

• Ake Björck, Numerical Methods for Least Squares Problems, SIAM (Available in the library!)
• Jonathan Shewchuk, An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
• Uri Ascher, A first course in numerical methods, SIAM (Available in the library!)

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!)