Mathematical Foundations of Computer Vision

Winter Term 2011/12

Mathematical Foundations of Computer Vision

Lectures and Tutorials: Dr. Michael Breuß (bld. E1.1, room 3.17, phone 0681-302-57350)

Winter 2011/12

Lectures (2h) with exercises (2h), winter term 2011/12

Lectures: Monday 16–18 (4–6 p.m.), Bld. E1.3, Lecture hall 001.
Tutorials: Thursday 16–18 (4–6 p.m.), Bld. E1.3, Lecture hall 001.

Results of second exam: You find the results here.

If you have questions about your exam, please ask by email for an appointment.

Final Grading: You find the results here.

Last Skript update: 8th of February.

Specialised course in mathematical image analysis, suitable for students in mathematics, computer science and visual computing programs.

The course is designed to familiarise students with mathematical techniques useful for understanding computer vision models and algorithms.

Breaking news – Entrance requirements – Contents – Assessments / Exams – References – Download

General notice: Please be aware that this is not a remote study course. This web page does not (and is not intended to) replace regular attendance of lectures and tutorials.

Regular participation in classroom exercises and regular submission of homework assignments is a prerequisite for admission to the exam (as announced in the lecture).

An online registration will be made available.

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

Mathematical prerequisites which exceed the basic mathematics courses are provided within the lecture. Previous knowledge in digital image processing is therefore helpful but not required.

This lecture is designed to familiarise students with the mathematical techniques useful for understanding computer vision models and algorithms. Some emphasis is laid on techniques of geometry and calculus in computer vision as well as on the foundations of useful algorithms.

Written or oral exams will be scheduled, dependent also on the number of participants. NEWS: The first witten exam takes place on Thursday, February 9, 4-6 pm. in building E 1.3, Lecture Hall 001. You have to register online for the lecture/exam to the general system of Saarland University (HISPOS).

It is intended that participants may rely completely on the lecture material. The following books are reasonable (somewhat standard) sources in the field. They are not part of a Semesterapparat as it is not required to study them for following the course.

• Y. Ma, S. Soatto, J. Košecká, S. Shankar Sastry. An Invitation to 3-D Vision. Springer, New York 2004.
• Max K. Agoston. Computer Graphics and Geometric Modelling. Mathematics. Springer, London 2005.
• O. Faugeras. Three-Dimensional Computer Vision. A Geometric Viewpoint. The MIT Press, Cambridge, Massachusetts, 2001.
• E. Trucco, A. Verri. Introductory Techniques for 3-D Computer Vision. Prentice Hall, Upper Saddle River, 1998.
• R. Hartley, A. Zisserman. Multiple View Geometry in Computer Vision. 2nd Edition. Cambridge University Press, 2003.
• C. Wöhler. 3D Computer Vision. Springer Verlag, Berlin Heidelberg, 2009.

A script of the lecture will be made available here. It will be updated regularly in the course of the semester. Of course, we do not take on any responsibilities for typos.

Participants of the course can download assignment sheets and example solutions here. Tanja Dorst and Verena Marold have provided some LaTeX-files that help to put together the example solutions. Thanks a lot!

Assigment sheet	Posted at	To be submitted	Solution
Assignment 1	October 20	October 27	here
Assignment 2	October 27	November 3	here
Assignment 3	November 10	November 17	here
Assignment 4	November 18	November 24	here
Assignment 5	November 25	December 1	here
Assignment 6	December 9	December 15	here
Assignment 7	December 23	January 12	here
Assignment 8	January 26	February 2	here

Michael Breuß / October 20, 2011

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