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 Contact by email Moodle course	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 Overview Script Course Schedule Literature	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

• 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!)