Course detail

Basic Elements of Computer Graphics

FP-ZPGAcad. year: 2020/2021

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.

Learning outcomes of the course unit

Subject specific knowledge and abilities:
" 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


Basic principles of C/C++ programming


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

[1] Foley, J., D., et al., Computer Graphics: Principles and Practise, 2 edition, Addison-Wesley, 1996 (EN)
[2] Watt, A., 3D Computer Graphics, 3 edition, Addison-Wesley, 2000 (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Evaluation of projects (maximum 30 points), a mid-term test (maximum 20 points) and term test (maximum 50 points). Exam is realized as term test. Maximum is 100 points. 50 point is minimum for the subject graduating.

Language of instruction


Work placements

Not applicable.

Course curriculum

Lectures outline:
1. Introduction to Computer graphics (CG), basic priciples
2. Colors and color models, color space reduction, black&white images
3. Rasterisation of basic vector entities, region filling
4. 2D clipping
5. 2D and 3D transformations
6. Curves in CG
7. 3D objects representation
8. 3D objects visibility
9. Lighting models and smooth sufrace shading, raytracing and radiosity
10. Texturing
11. Antialiasing
12. Introduction to graphics API
13. Introduction to OpenGL I and II

Laboratories outline:
1. Laboratories overview (GLUT, tools, compilation)
2. Graphical image formats, color space reduction
3. Basic object rasterisation
4. 2D spline curves display
5. Filling of 2D closed areas
6. 3D transformation
7. Basic of OpenGL


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.

Specification of controlled education, way of implementation and compensation for absences

A mid-term exam evaluation and evaluation of projects.

Classification of course in study plans

  • Programme BAK-MIn Bachelor's, 2. year of study, summer semester, 6 credits, elective

Type of course unit



39 hours, optionally

Teacher / Lecturer


26 hours, compulsory

Teacher / Lecturer