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252-5706-00L 5 Credits MSC , WBZ D-INFK

Mathematical Foundations of Computer Graphics and Vision

Lecturers: Dr. Tunc Aydin, Dr. Abdelaziz Djelouah
Examiners: Dr. Tunc Aydin, Dr. Abdelaziz Djelouah, Dr. Baran Gözcü
VVZ CR 3.4

Last Updated: 2026-06-03 00:14:09

Abstract

This course presents the fundamental mathematical tools and concepts used in computer graphics and vision. Each theoretical topic is introduced in the context of practical vision or graphic problems, showcasing its importance in real-world applications.

Objective

The main goal is to equip the students with the key mathematical tools necessary to understand state-of-the-art algorithms in vision and graphics. In addition to the theoretical part, the students will learn how to use these mathematical tools to solve a wide range of practical problems in visual computing. After successfully completing this course, the students will be able to apply these mathematical concepts and tools to practical industrial and academic projects in visual computing.

Content

The theory behind various mathematical concepts and tools will be introduced, and their practical utility will be showcased in diverse applications in computer graphics and vision. The course will cover topics in sampling, reconstruction, approximation, optimization, robust fitting, differentiation, quadrature and spectral methods. Applications will include 3D surface reconstruction, camera pose estimation, image editing, data projection, character animation, structure-aware geometry processing, and rendering.

Resources

Learning Materials (Links)

General Information

Language
English
Levels
MSC , WBZ
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 20 minutes
The grade will be determined by a) an oral final exam and b) homework exercises performed during the semester (compulsory continuous performance assessments).Specifically, the final grade will be 50% final exam and 50% exercises.

Course Components

Type Title Time & Place Hours
lecture Mathematical Foundations of Computer Graphics and Vision
  • Tue 10:15-12:00 (CAB G 51)
2 h weekly
exercise Mathematical Foundations of Computer Graphics and Vision
  • Tue 13:15-14:00 (CAB G 51)
1 h weekly
independent project Mathematical Foundations of Computer Graphics and Vision No time listed 1 h weekly

Offered In