It is a classical problem in Machine Vision to represent, analyse and compare three-dimensional shapes. In the last years this field has known a fast development leading to a number of very powerful algorithms with a solid mathematical foundation. In this course we will present some of these, discussing both, the mathematics involved and the practical issues for the implementation.

Topics we plan to cover include:

• Foundations of Differential Geometry of curves and surfaces
• Matching pairs or a collection of shapes
• Classification of shapes
• Spectral methods (i.e. Laplace-Beltrami operators and their eigenspaces)
• Pointwise feature descriptors
• Machine learning applied to shape analysis

We are also offering a seminar on Shape Analysis this semester. Talks are given each week about a selected topic and are free for everyone to join!

Location: Room 02.09.023
Time and Date: Monday 10:00 - 12:00, Tuesday 10:00 - 12:00
Lecturer: Dr. Frank Schmidt, Matthias Vestner
Start: April, 18
The lecture is held in English.

Location: Room 02.09.023
Time and Date: Wednesday 14:00 - 16:00
Organization: Zorah Lähner
Start: April, 27

The excercise sheets consist of two parts:

1. Mathematics
2. Programming

You can submit your solutions via email to laehner@in.tum.de until tuesday (23:59) before the corresponding exercise class. Since we are not experts in decryption we ask you to hand in typewritten solutions for the first part and commented source code for the second part.

In the exercise class the solutions to the first part will be discussed.

There will be no tutorial on the 29th June.

The exam will be orally.
Please send an email to matthias.vestner@in.tum.de with your 3 preferred slots (until July 8th).
First come first serve.

Please send an email to matthias.vestner@in.tum.de with your 3 preferred slots (until September 20th).
First come first serve.

Course material (slides and exercise sheets) can be accessed here.

The password will be presented in the first lecture.