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Numerical Algorithms for Visual Computing II

Winter Term 2010/11

Numerical Algorithms for Visual Computing II

Dr. Michael Breuß

Winter 2010/11

Lectures (2h) with exercises (2h), winter term 2010.

Lectures: We 10–12 (10 a.m.–12 a.m.), Building E1.3, Lecture Hall 003
Lectures or Tutorials: Fr 10–12 (10 a.m.–12 a.m.), Building E1.3, Lecture Hall 003

NEW: The results of the SECOND written examination are now available here!

SCRIPT The script is available here. (Update from January 27, 2011.) Of course, we do not take on any responsibilities for typos.

SciLab tutorial. A tutorial on SciLab as well as a supplementary SciLab file are provided now.

Course in numerical methods useful in the field of visual computing. The second part of the course is concerned with numerical methods for differential equations. These arise in various applications in image processing, computer vision, computer graphics, and related areas of Visual Computing.

Entrance requirements – Contents – Assessments / Exams – References – Downloads

Undergraduate knowledge of mathematics. For computer science students, this requirement is met by having completed the Mathematics for Computer Scientists lecture cycle.

Mathematical prerequisites which exceed the basic mathematics courses are provided within the lecture. Previous knowledge is not required.

The course is concerned with numerical methods useful for image analysis (image processing, computer vision, pattern recognition) and synthesis (computer graphics, scientific visualisation, geometric modelling).

Topics include:

• numerical methods for parabolic and elliptic partial differential equations arising e.g. in optic flow
• schemes for hyperbolic partial differential equations arising e.g. in mathematical morphology
• iterative solvers that are a useful tool

There will be two written exams. Most likely, the first one takes place directly at the end of the lecturing period, the second one shortly before the next summer semester.

It is required for qualifying for the written exams to have 50% of the available points from the exercises. I would like to encourage you to do these in teams of up to three students.

Diverse books and scripts on numerical mathematics, depending on the topic. Details will be given in the lecture. There will be a script written using LaTeX. This will be updated during the semester. To get an idea, you may have a look at previous courses, however, the course and also the script is under continuous development!

Participants of the course can download the assignment sheets here.

No.	The Sheet	Deadline	Solution	Code
1	Assignment 1	October 29	Sheet 1	NA
2	Assignment 2	November 5	Sheet 2	NA
3	Assignment 3	November 17	Sheet 3	NA
4	Assignment 4	December 10	Sheet 4	NA
5	Assignment 5	December 15	Sheet 5	Here
6	Assignment 6	January 5	Sheet 6	Here
7	Assignment 7	January 19	Sheet 7	NA
7	Assignment 8	February 2	Sheet 8	NA

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