Computer Graphics Principles
FIT-IZGAcad. year: 2020/2021
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.
Learning outcomes of the course unit
- The student will get acquainted with the basic principles of 2D and 3D computer graphics.
- The student will learn the fundamentals of using main graphical programming interfaces.
- He/she will get acquaint with algorithms for rasterisation and clipping of 2D graphics primitives and filling of closed regions.
- He/she will learn algorithms for 2D and 3D transformations, visibility solution, lighting, shading and texturing.
- The student will learn the fundamentals of the photorealistic rendering of 3D scenes.
- He/she will get acquainted with different techniques of 3D objects geometry representation.
- He/she will get acquainted with sources of alias and basics of antialiasing methods.
- He/she will practice implementation of vector and raster based graphics algorithms.
- The students will learn how to solve simple problems, individually or in small teams.
- They will also improve their practical programming skills and knowledge of development tools.
- It is essential to have basic knowledge of programming in C language.
Recommended optional programme components
Recommended or required reading
Beneš, B., Sochor, J., Felkel, P., Žára, J.: Moderní počítačová grafika, 2. vydání, ComputerPress, 2005
Lengyel, E.: Mathematics for 3D Game Programming and Computer Graphics, Third Edition, 3rd Edition, 2012
Course slides and lecture recordings
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
Thalmann, N., M., Thalmann, D., Computer Animation: Theory and Practise (Second Revised Edition), Springer-Verlag, 1990
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
- Project - 18 points.
- Evaluated laboratory tasks, 6 x 3 bodů - 18 points.
- Midterm written exam - 12 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.
The student has to get at least 20 points from the project, laboratories and the midterm 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.
Language of instruction
To provide an overview of the basics principles of 2D and 3D computer graphics. To get acquainted with the vector-based object representation and drawing. To learn methods of 2D objects rasterisation and clipping, 2D closed areas filling, 2D and 3D transformations, visibility problem solutions, lighting, shading and texturing. To get acquainted with the basic principles of main 2D and 3D graphical interfaces. To overrule the implementation issues in real graphical applications.
Specification of controlled education, way of implementation and compensation for absences
- The project needs to be submitted to the faculty information system and is evaluated at the end of the semester.
- Laboratory tasks are evaluated during them.
- Midterm and final written exams.
- In justified cases, it is possible to accomplish laboratories on another date, and the mid-term exam by extending the final exam.
Type of course unit
39 hours, optionally
Teacher / Lecturer
- Introduction to computer graphics - raster vs. vector graphics. Colours and colour models, colour space reduction, black&white images.
- Rasterisation of basic vector primitives
- Antialiasing. 2D clipping.
- Closed area filling.
- 2D and 3D transformations.
- Introduction to 2D graphics API and minimalistic 2D graphic application.
- Curves in computer graphics.
- Basics of 3D scene visualization, 3D transformations and projections.
- 3D object representations.
- Lighting models and smooth surface shading. Introduction to the OpenGL library.
- Visibility problem.
- Textures and texturing. Modern computer graphics, principles of 3D graphics API, rendering pipeline, etc.
- Basics of photorealistic rendering, raytracing and radiosity.
Exercise in computer lab
12 hours, compulsory
Teacher / Lecturer
- Graphical image formats and colour space reduction.
- Basic object rasterisation.
- Visualization of 2D spline curves.
- Filling of 2D closed regions.
- 3D transformations.
- Basics of OpenGL.
14 hours, compulsory
Teacher / Lecturer
Thematically oriented individual project.