TeachingWs10BasicMathTools

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 by Prof. Nassir Navab,
Tobias Lasser, Jakob Vogel, and Richard Brosig

Organization by Maximilian Baust

IN2124: 2+2 SWS, 5 ECTS, Theoretische Informatik, Wahlpflichtfach

IN2124: 2+2 SWS, 5 ECTS, Biomedical Computing, required module

(For CSE students, this lecture is credited with 2 ECTS with the restriction that it has to be taken together with either the Computer Aided Medical Procedures lecture or the 3D Computer Vision lecture.)

The lecture is given in English.

Time & Location

Lecture and exercise:
Tuesday 16:00-18:00, MI 03.013.010.
Thursday 16:00-18:00, MI 03.013.010.
Exam:
15.02.2011 11:30 - 13:00
Room: MW 2050

Site Content

Announcements

  • REMINDER: THE EXAM IS CLOSED-BOOK!!!

  • EXAM 15.02.2011, 11:30 - 13:00 Room: MW 2050

Overview

Not only for the developement but also for the application of many image processing techniques and computer vision algortihms a deep mathematical understanding is of fundamental importance. This lecture aims in providing interested students with a solid mathematical basis for imaging and visualization applications.

Script

t.b.a.

Course Schedule

For questions regarding the organization (e.g. exam date and time, exam admission, exercises,...) plase contact Maximilian Baust.

For questions regarding the content (e.g. content of lecture, relevant topics for exam,...) please contact the corresponding lecturer.

Week Topic Lecturer Slides Material
18/10/10 - 22/10/10 no lecture - - -
26/10/10, 28/10/10 Basics, Linear Equation Systems Jakob Vogel - -
02/11/10, 04/11/10 Least Squares Problems Jakob Vogel - -
09/11/10, 11/11/10 Eigenvalue Problems Jakob Vogel - -
16/11/10, 18/11/10 Matrix Decompositions Jakob Vogel - -
23/11/10 no lecture - - -
25/11/10 Case Study (part I) Maximilian Baust  CaseStudy_I  CaseStudy_I.zip
30/11/10 Analysis Basics (Metric spaces, Topology, Convergence and compactness) Tobias Lasser  analysis1 -
02/12/10 no lecture - - -
07/12/10, 09/12/10 Analysis Basics (Continuity, Differentiability) Tobias Lasser  analysis2  analysis3 -
14/12/10, 16/12/10 Analysis Basics (Taylor expansion, Extrema, Optimization, Convexity, Gauss-Newton) Tobias Lasser  analysis4  analysis5 -
21/12/10 Analysis Basics (Gradient descent, Fixed point iteration) Tobias Lasser  analysis6  exercises
27/12/10 - 31/12/10 24/12/10 - 06/01/11 Chistmas - - -
03/01/11 - 07/01/11 24/12/10 - 06/01/11 Chistmas - - -
11/01/11 Case Study (part II) Maximilian Baust  CaseStudy_II  CaseStudy_II.zip
13/01/11 Graphs, Random Walks, and Conjugate Gradients Maximilian Baust  Graphs, Random Walks, and Conjugate Gradients -
18/01/11 PDEs Basics Richard Brosig  Error Corrections
 Advection demo
-
20/01/11 PDEs Basics Maximilian Baust  PDEs part II -
25/01/11, 27/01/11 Elliptic and Parabolic Problems Richard Brosig  Poisson demo
 Poisson Example
-
01/02/11, 03/02/11 Image Processing Applications Richard Brosig and Maximilian Baust  PDEs part III Level Sets  Poisson Editing
08/02/11, 10/02/11 Questions - - -
15/02/2011 Exam 11:30 am - 13:00 pm Room: MW 2050      

Literature

Linear Algebra

  • Lloyd N. Trefethen and David Bau, Numerical Linear Algebra, SIAM (Available in the library!)

  • Gilbert Strang, Introduction to Linear Algebra, Wellesley-Cambridge Press (Available in the library! Check out his video-lectures on youtube!)

MATLAB

Calculus

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

PDEs



internal

TeachingForm
Title: Basic Mathematical Tools for Imaging and Visualization
Professor: Prof. Nassir Navab
Tutors: Maximilian Baust, Tobias Lasser, Jakob Vogel, and Richard Brosig
Type: Lecture
Information: 2 + 2 SWS, 5 ECTS Credits (Module IN 2124)
Term: 2010WiSe
Abstract: Not only for the developement but also for the application of many image processing techniques and computer vision algortihms a deep mathematical understanding is of fundamental importance. This lecture aims in providing interested students with a solid mathematical basis for imaging and visualization applications.


Edit | Attach | Refresh | Diffs | More | Revision r1.37 - 10 Feb 2011 - 12:59 - RichardBrosig

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