Course detail

Computer Graphics Principles

FEKT-BPC-IZGAcad. year: 2021/2022

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. 

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

Ing. Michal Španěl, Ph.D.

Department

Faculty of Information Technology (FIT)

Learning outcomes of the course unit

  • The student will get acquainted with the basic principles of 2D and 3D computer graphics.
  • 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.
  • The student will learn the fundamentals of using main graphical programming interfaces.
  • 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. 

Prerequisites

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

Co-requisites

Not applicable.

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

  • Project - 20 points.
  • 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.

Course curriculum

  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.

Work placements

Not applicable.

Aims

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

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Beneš, B., Sochor, J., Felkel, P., Žára, J.: Moderní počítačová grafika, 2. vydání, ComputerPress, 2005 (CS) (CS)

Recommended reading

Course slides and lecture recordings (EN)
Hughes, John F., et al., Computer Graphics: Principles and Practice, Third Edition, Addison-Wesley, 2014
Materiály k přednáškám "Základy počítačové grafiky" (CS)
Watt, Alan H., 3D Computer Graphics, 3rd Edition, Addison-Wesley, 1999.

Classification of course in study plans

  • Programme BPC-AMT Bachelor's 0 year of study, summer semester, elective

  • Programme BPC-AUD Bachelor's

    specialization AUDB-TECH , 0 year of study, summer semester, elective
    specialization AUDB-ZVUK , 0 year of study, summer semester, elective

  • Programme BPC-ECT Bachelor's 0 year of study, summer semester, elective
  • Programme BPC-IBE Bachelor's 0 year of study, summer semester, elective
  • Programme BPC-MET Bachelor's 0 year of study, summer semester, elective
  • Programme BPC-SEE Bachelor's 0 year of study, summer semester, elective
  • Programme BPC-TLI Bachelor's 0 year of study, summer semester, elective

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

Ing. Michal Španěl, Ph.D.

Syllabus

  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.

Exercise in computer lab

13 hod., optionally

Teacher / Lecturer

Ing. Michal Španěl, Ph.D.

Syllabus

  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. 

Project

13 hod., optionally

Teacher / Lecturer

Ing. Michal Španěl, Ph.D.

Syllabus

Thematically oriented individual project.