Course details

Computer Graphics Principles

IZG Acad. year 2024/2025 Summer semester 6 credits

Current academic year

Overview of fundamental principles of computer graphics (vector and raster based) and his consequence for real graphical applications. Basic operations to be performed in 2D and 3D computer graphics. Specification of principles and usage of main graphical interfaces. Methods and algorithms for drawing lines, circles and curves (Bezier and NURBS) in 2D. Principles of closed areas clipping and filling. Methods and solutions for 2D/3D object transformations, visibility problem, lighting, shading and texturing. Basics of the photorealistic rendering of 3D scenes. Different methods of 3D geometry representation. Alias in computer graphics and antialiasing methods.

Guarantor

Španěl Michal, Ing., Ph.D. (DCGM)

Course coordinator

Milet Tomáš, Ing., Ph.D. (DCGM)

Language of instruction

Czech, English

Completion

Credit+Examination (written)

Time span

  • 39 hrs lectures
  • 12 hrs pc labs
  • 14 hrs projects

Assessment points

  • 52 pts final exam
  • 10 pts mid-term test
  • 18 pts labs
  • 20 pts projects

Department

Department of Computer Graphics and Multimedia (UPGM)

Lecturer

Milet Tomáš, Ing., Ph.D. (DCGM)
Španěl Michal, Ing., Ph.D. (DCGM)

Instructor

Čižmarik Roman, Ing. (DCGM)
Kohút Jan, Ing. (DCGM)
Milet Tomáš, Ing., Ph.D. (DCGM)
Munzar Milan, Ing. (DCGM)
Polášek Tomáš, Ing. (DCGM)
Vlnas Michal, Ing. (DCGM)

Learning objectives

To provide an overview of the basics principles of 2D and 3D computer graphics.

  • The student will get acquainted with the basic principles of 2D and 3D computer graphics - algorithms for rasterisation and clipping of 2D graphics primitives and filling of closed regions; algorithms for 2D and 3D transformations, visibility solution, lighting, shading and texturing.
  • The student will get acquainted with different techniques of 3D objects geometry representation.
  • The student will learn the fundamentals of the photorealistic rendering of 3D scenes.
  • The student will get acquainted with sources of alias and basics of antialiasing methods.
  • The student will learn the fundamentals of using main graphical programming interfaces and will practice implementation of vector and raster based graphics algorithms.

Prerequisite knowledge and skills

  • It is essential to have basic knowledge of programming in C language.

Study literature

  • Hughes, John F., et al., Computer Graphics: Principles and Practice, Third Edition, Addison-Wesley, 2014
  • Lengyel, E.: Mathematics for 3D Game Programming and Computer Graphics, Third Edition, 3rd Edition, 2012
  • Watt, Alan H., 3D Computer Graphics, 3rd Edition, Addison-Wesley, 1999. 
  • Gomes J., et al., Computer Graphics: Theory and Practice, CRC Press, 2012.
  • Sellers, G., et al., OpenGL Superbible: Comprehensive Tutorial and Reference, 7th Edition, 2015.
  • Course slides and lecture recordings

Syllabus of lectures

  1. Raster and vector graphics. Colours and colour models. Colour space reduction and black&white images.
  2. Rasterisation of basic vector primitives.
  3. Closed area filling.
  4. Transformations in 2D and 3D.
  5. Basics of 3D scene visualization, 3D transformations and projections.
  6. Introduction to 2D graphics API and a minimalistic 2D graphic application.
  7. Antialiasing. Clipping in 2D and 3D.
  8. Curves in computer graphics.
  9. 3D object representations.
  10. Local illumination models and smooth surface shading. Introduction to the OpenGL library.
  11. Visibility problem in 3D.
  12. Textures and texturing. Modern computer graphics and principles of 3D graphics API.
  13. Basics of photorealistic rendering, raytracing and radiosity.

Syllabus of computer exercises

  1. Colour space reduction.
  2. Basic 2D object rasterisation.
  3. Filling of 2D closed regions.
  4. 3D transformations.
  5. Visualization of 2D spline curves.
  6. 3D scene visualization and OpenGL basics.

Syllabus - others, projects and individual work of students

Thematically oriented individual project.

Progress assessment

  • Project - 20 points.
    • The project needs to be submitted to the faculty information system and is evaluated at the end of the semester.
  • Evaluated laboratory tasks, 6 x 3 bodů - 18 points.
  • Midterm test - 10 point.
  • Final written examination - 52 points.
    • Minimum for the final written examination is 20 points.
  • Minimum to pass the course according to the ECTS assessment - 50 points.

 

  • In justified cases, it is possible to accomplish laboratories on another date, and the mid-term exam by extending the final exam.

How to contact the teacher

  • Through email, discussion forums in Moodle or messages in IS BUT.

Course inclusion in study plans

  • Programme BIT, 2nd year of study, Compulsory
  • Programme BIT (in English), 2nd year of study, Compulsory
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