Course details

Computer Graphics Principles

IZG Acad. year 2010/2011 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. Specification of plane (2D) and space (3D) computer graphics basic operations. Specification of principles and using of main graphical interfaces, namely: Win32 API and OpenGL. 2D methods and algorithms for: lines, circles and curves (Bezier, B-spline, NURBS) rasterisation, line objects trimming, closed areas filling. 3D methods and algorithms for: objects transformations, 3D objects visibility solution, lighting, shading and texturing. 3D scenes photorealistic visualization methods. 3D objects geometry representation methods. Signal image processing, antialiasing methods.


Language of instruction



Credit+Examination (written)

Time span

39 hrs lectures, 13 hrs pc labs, 13 hrs projects

Assessment points

52 exam, 18 half-term test, 30 projects




Hulík Rostislav, Ing. (DCGM FIT BUT)
Jošth Radovan, Ing. (DCGM FIT BUT)
Maršík Lukáš, Ing. (DCGM FIT BUT)
Mrnuštík Michal, Ing. (DCGM FIT BUT)
Nečas Ondřej, Ing. (DCGM FIT BUT)
Přibyl Bronislav, Ing. (DCGM FIT BUT)
Svoboda Pavel, Ing., Ph.D. (DITS FIT BUT)
Ševcovic Jiří, Ing. (DCGM FIT BUT)
Šolony Marek, Ing., PhD. (DCGM FIT BUT)
Vaďura Jiří, Ing. (DCGM FIT BUT)

Subject specific learning outcomes and competences

  • Student acquaints with the basic principles of plane (2D) and space (3D) computer graphics.
  • He/she learns the fundamentals of using main graphical programming interfaces, Win32 API and OpenGL.
  • He/she acquaints with the 2D algorithms for line objects rasterisation, trimming and closed regions filling.
  • He/she acquaints with the 3D algorithms for objects 3D objects transformations, visibility solution, lighting, shading and texturing.
  • He/she learns the fundamentals of 3D scenes photorealistic visualization.
  • He/she learns the fundamental of 3D objects geometry representations.
  • He/she acquaints with signal image processing and antialiasing.
  • He/she learns practical implementation of vector and raster based graphical applications.

Generic learning outcomes and competences

  • The students will learn to solve simple problems, individually or in teams, by the home assignments.
  • They will also improve their skills in development tools usage and also in practical C/C++ programming.

Learning objectives

To provide overview of basics principles of plane(2D) space (3D) computer graphics. To acquaint with the vector based objects displaying algorithms and methods in 2D and 3D scenes, namely: 2D objects rasterisation and trimming, 2D closed areas filling, objects transformations, 3D objects visibility solution, lighting, shading and texturing. To acquaint with the basic principles of the main graphical interfaces, namely Win32 API and OpenGL. To overrule the implementation and using of the interfaces in real graphical applications.

Study literature

  • Žára, J., Beneš, B., Felkel, P., Modern computer graphics, ComputerPress, 1999.
  • Žára, J., Počítačová grafika - Principles and algorthms, GRADA, 1992.
  • Course notes - Computer Graphics Principles

Fundamental literature

  • Foley, J., D., et al., Computer Graphics: Principles and Practise, Addison-Wesley, 1992.
  • Watt, A., 3D Computer Graphics, Addison-Wesley, 1993.
  • Watt, A., Watt, M., Advanced Animation and Rendering Techniques: Theory and Practise, Addison-Wesley, 1992.
  • Watt, A., Policarpo, F., The Computer Image, Addison-Wesley, 1998.
  • Thalmann, N., M., Thalmann, D., Computer Animation: Theory and Practise (Second Revised Edition), Springer-Verlag, 1990.

Syllabus of lectures

  • Introduction to Computer graphics (CG), basic priciples.
    Colors and color models.
    Color space reduction, black&white images.
  • Rasterisation of basic vector entities.
    Region filling.
  • 2D clipping.
  • 2D and 3D transformations.
  • Curves in CG.
  • Introduction to graphics API.
  • 3D objects representation.
  • 3D objects visibility.
  • Lighting models and smooth sufrace shading.
    Raytracing and radiosity.
  • Texturing, fractals.
  • Antialiasing.
  • Introduction to OpenGL I.
  • Introduction to OpenGL II.

Syllabus of numerical exercises

  • Laboratories overview (GLUT, tools, compilation). 
  • Graphical image formats, color space reduction.
  • Basic object rasterisation.
  • 2D spline curves display.
  • Filling of 2D closed areas.
  • 3D transformation.
  • Basic of OpenGL.

Syllabus - others, projects and individual work of students

Thematically oriented individual project.

Progress assessment

  • Project - 18 points.
  • Evaluated laboratory tasks, 6 x 3 bodů - 18 points.
  • Mid-term written test - 12 point.
  • Final written examination - 52 points.
  • Minimum for final written exemination is 20 points
  • Passing bounary for ECTS assessment - 50 points.

Exam prerequisites

Student has to get at least 20 of the points from the project, laboratories and mid term exam for receiving the credit and then for entering the exam.  Plagiarism will cause that involved students are not classified and disciplinary action can be initiated.

Course inclusion in study plans

  • Programme IT-BC-3, field BIT, 2nd year of study, Compulsory
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