# FI:PV189 Math for Computer Graphics - Course Information

## PV189 Mathematics for Computer Graphics

**Faculty of Informatics**

Autumn 2024

**Extent and Intensity**- 2/0/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).

Taught in person. **Teacher(s)**- doc. RNDr. Pavel Matula, Ph.D. (lecturer)
**Guaranteed by**- doc. RNDr. Pavel Matula, Ph.D.

Department of Visual Computing – Faculty of Informatics

Supplier department: Department of Visual Computing – Faculty of Informatics **Prerequisites**- Completion of MB151 and MB152 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**- there are 32 fields of study the course is directly associated with, display
**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 for implementation of many computer graphics algorithms.
**Learning outcomes**- After finishing the course the student will be able to: understand the common mathematics being used for solving computer graphics tasks; solve the typical tasks
**Syllabus**- Revision of linear algebra. Vectors, matrices, linear transformations.
- Afinne geometry, homogeneous coordinates.
- Eigen values, eigen vectors and their geometric meaning.
- Principal component analysis.
- Interactions of basic objects in 3D (lines, planes, spheres).
- Rotation and quaternions.
- Sampling vs. interpolation of digital signal.
- Interpolation of rotation (LERP, SLERP, SQUAD, etc.).
- Minimization (linear and nonlinear regression).
- Geometrical properties of curves and surfaces (length, tangents, curvature, etc.).

**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

- GLASSNER, Andrew S.
**Teaching methods**- Lectures. Electronic revision during semester.
**Assessment methods**- Written examination with possible oral part.
**Language of instruction**- English
**Further Comments**- The course is taught annually.

The course is taught: every week.

- Enrolment Statistics (recent)

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