Basic Mathematical Tools for Imaging and Visualization - IN2124

Administrative Info Lecture: Dr. Tobias Lasser Exercises: Oliver Zettinig, Nicola Rieke 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: Thursday, 11/02/2016, 14:30 - 16:00, MI Hörsaal 1 Duration: 90 minutes Allowed material: none Exam inspection: Wednesday, 24/02/2016, 10:00 in MI 03.13.061 Repeat exam: Thursday, 31/03/2016, 14:30 - 16:00, Interims Hörsaal 2 Duration: 90 minutes Allowed material: none Exam inspection: Friday, 15/04/2016, 14:00 in MI 03.13.061 ONLY after registering by email!

Site Content Overview Script Course Schedule Literature

Announcements The final list for the grade bonus of 0.3 is available here.

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: 25/01/2016):

• Full script:  bmt2015.pdf

Course Schedule

Week	Room	Type	Lecturer	Topic	Materials	Solutions
Mon Oct. 12, 2015	MI HS 2			no lecture
Thu Oct. 15, 2015	MI HS 2	L	Tobias Lasser	Introduction and Overview	01Administrative.pdf
Mon Oct. 19, 2015	MI HS 2	L	Tobias Lasser	Linear Algebra	02Script.pdf, 02LinearAlgebra.pdf
Thu Oct. 22, 2015	MI HS 2	E	Oliver Zettinig, Nicola Rieke		Exercise 1,  denoising.zip	Solution 1,  denoising_solution.zip
Mon Oct. 26, 2015	MI HS 2	L	Tobias Lasser	Linear Algebra	03Script.pdf, 03LinearAlgebra.pdf
Thu Oct. 29, 2015	MI HS 2	E	Nicola Rieke		Exercise 2, art.zip, segmentation.zip	Solution 2, art_solution.zip, segmentation_solution.zip
Mon Nov. 2, 2015	MI HS 2	L	Tobias Lasser	Linear Algebra	04Script.pdf, 04LinearAlgebra.pdf
Thu Nov. 5, 2015	MI HS 2	E	Oliver Zettinig		Exercise 3,  sinogram.zip	Solution 3, decomp_lin_regr.zip, Additional Material LUP
Mon Nov. 9, 2015	MI HS 2	L	Tobias Lasser	Linear Algebra	05Script.pdf, 05LinearAlgebra.pdf
Thu Nov. 12, 2015	MI HS 2	E	Oliver Zettinig		Exercise 4,  eigenfaces.zip,  recon-systems.zip	Solution 4, pca_svd.zip
Mon Nov. 16, 2015	MI HS 2	L	Tobias Lasser	Analysis	06Script.pdf, 06Analysis.pdf
Thu Nov. 19, 2015	MI HS 2	E	Nicola Rieke		Exercise 5	Solution 5, Matlab05.zip
Mon Nov. 23, 2015	MI HS 2	L	Tobias Lasser	Analysis	07Script.pdf, 07Analysis.pdf
Thu Nov. 26, 2015	MI HS 2	E	Nicola Rieke		Exercise 6	Solution 6, Matlab06.zip
Mon Nov. 30, 2015				no lecture
Thu Dec. 3, 2015				no lecture (Dies academicus)
Mon Dec. 7, 2015	MI HS 2	L	Tobias Lasser	Optimization	08Script.pdf, 08Analysis.pdf
Thu Dec. 10, 2015	MI HS 2	E	Oliver Zettinig		Exercise 7,  div_grad.zip	Solution 7, diffusion_filt.zip
Mon Dec. 14, 2015	MI HS 2	L	Tobias Lasser	Optimization	09Script.pdf, 09Optimization.pdf
Thu Dec. 17, 2015	MI HS 2	E	Oliver Zettinig		Exercise 8,  tracking1.zip	Solution 8, tracking1_sl.zip
Mon Dec. 21, 2015	MI HS 2			no lecture (Christmas)
Thu Jan. 7, 2016	MI HS 2			no lecture (Christmas)
Mon Jan. 11, 2016	MI HS 2	L	Tobias Lasser	Optimization	10Script.pdf, 10Optimization.pdf
Thu Jan. 14, 2016	MI HS 2	E	Nicola Rieke		Exercise 9	Solution 9
Mon Jan. 18, 2016	MI HS 2	L	Tobias Lasser	Probability Theory	11Script.pdf, 11ProbabilityTheory.pdf
Thu Jan. 21, 2016	MI HS 2	E	Nicola Rieke		Exercise 10	Solution 10
Mon Jan. 25, 2016	MI HS 2	L	Tobias Lasser	Probability Theory	12Script.pdf, 12ProbabilityTheory.pdf
Thu Jan. 28, 2016	MI HS 2	E	Oliver Zettinig		Exercise 11	Solution 11
Mon Feb. 1, 2016	MI HS 2	L	Tobias Lasser	Probability Theory	13Script.pdf, 13ProbabilityTheory.pdf
Thu Feb. 4, 2016	MI HS 2	E	Oliver Zettinig		Exercise 12	Solution 12, mlem_sl.zip

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!)