FI:PV189 Math for Computer Graphics - Course Information

PV189 Mathematics for Computer Graphics

Extent and Intensity

2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).

Teacher(s)

prof. Ing. Jiří Sochor, CSc. (lecturer)
Mgr. Petr Tobola, Ph.D. (lecturer)

Guaranteed by

prof. Ing. Jiří Sochor, CSc.
Department of Visual Computing – Faculty of Informatics
Supplier department: Department of Visual Computing – Faculty of Informatics

Timetable

Tue 18:00–19:50 D1

Prerequisites

Completion of MB003 Linear algebra and MB101 - MB102 Math is the precondition.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Applied Informatics (programme FI, N-AP)
• Information Technology Security (programme FI, N-IN)
• Bioinformatics (programme FI, B-AP)
• Bioinformatics (programme FI, N-AP)
• Information Systems (programme FI, N-IN)
• Informatics with another discipline (programme FI, B-EB)
• Informatics with another discipline (programme FI, B-FY)
• Informatics with another discipline (programme FI, B-GE)
• Informatics with another discipline (programme FI, B-GK)
• Informatics with another discipline (programme FI, B-CH)
• Informatics with another discipline (programme FI, B-IO)
• Informatics with another discipline (programme FI, B-MA)
• Informatics with another discipline (programme FI, B-TV)
• Mathematical Informatics (programme FI, B-IN)
• Parallel and Distributed Systems (programme FI, B-IN)
• Parallel and Distributed Systems (programme FI, N-IN)
• Computer Graphics and Image Processing (programme FI, B-IN)
• Computer Graphics (programme FI, N-IN)
• Computer Networks and Communication (programme FI, B-IN)
• Computer Networks and Communication (programme FI, N-IN)
• Computer Systems and Data Processing (programme FI, B-IN)
• Computer Systems (programme FI, N-IN)
• Embedded Systems (eng.) (programme FI, N-IN)
• Programmable Technical Structures (programme FI, B-IN)
• Embedded Systems (programme FI, N-IN)
• Service Science, Management and Engineering (eng.) (programme FI, N-AP)
• Service Science, Management and Engineering (programme FI, N-AP)
• Social Informatics (programme FI, B-AP)
• Theoretical Informatics (programme FI, N-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, N-SS) (2)
• Artificial Intelligence and Natural Language Processing (programme FI, B-IN)
• Artificial Intelligence and Natural Language Processing (programme FI, N-IN)
• Image Processing (programme FI, N-AP)

Course objectives

This lecture aims to enhance the mathematical foundations acquired through the previous studies. We focus on practical utilization of mathematics in the computer graphics area. The students gain an insight into the practical mathematics necessary to implementation of many computer graphics algorithms.

Syllabus

• Vectors, Matrices, Transformations.
• Perspective and Projection.
• Principal Component Analysis.
• Rotations and Quaternions.
• Monte Carlo Integration.
• Sampling and Reconstruction.

Literature

• GLASSNER, Andrew S. Principles of digital image synthesis. Volume 1. San Francisco: Morgan Kaufmann Publishers, 1995, xx, 540 s. ISBN 1-55860-276-31. info

Teaching methods

Lectures.

Assessment methods

Written examination.

Language of instruction

English

Further Comments

Study Materials
The course is taught annually.

• Enrolment Statistics (Spring 2012, recent)
  
• Permalink: https://is.muni.cz/course/fi/spring2012/PV189