Course detail
Computer Graphics
FSI-SPG Acad. year: 2023/2024 Winter semester
This course is lectured in winter semester in the second year of mathematical engineering study. It introduces basic principles of algorithms of computer graphics. Lectures provide a theoretical basis of computer graphics – Euclidean space, graphical data and colour spaces, projective space, transforms, basic properties and construkctions of curves and surfaces, realistic representation of spatial geometric shapes, visibility and shading algorithm, texture mapping.
Language of instruction
Czech
Number of ECTS credits
3
Supervisor
Department
Entry knowledge
Descriptive geometry, Basic course of algenra, programming techniques
Rules for evaluation and completion of the course
Graded course-unit credit is awarded under the condition of a semester project elaboration.
Missed lessons may be compensated for via a written test.
Aims
Students will apply the knowledge acquired in mathematical analysis, algebra, geometry and previous courses dealing with computers. Theoretical knowledge will be practically applied in creating geometrical models of real systems.
Students will learn how to practically use the knowledge acquired in the theory and computer-oriented courses, supplement it with knowledge of technical curves and surfaces and the ability to display real figures and technical data in various ways. They will deepen their ability to algorithmise technical problems.
The study programmes with the given course
Programme B-MAI-P: Mathematical Engineering, Bachelor's, compulsory
Type of course unit
Computer-assisted exercise
26 hours, compulsory
Teacher / Lecturer
Syllabus
1. Raster graphics, vector graphics, perception of electromagnetic waves, color spaces
2. Vector space, affine space, Euclidean space, projective space, projective space model, basic operations in the Euclidean space
3. Basic operations in the projective space, composition of mappings in plane (rotation around the center, symmetry along the line)
4. Kinematic curves: derivation of parametric equations, visualization
5. Kinematic curves: kinematic motion animation
6. Parallel and central projection, map in projective space
7. Spatial curves, helix in central and parallel projection
8. Analytic curves, isocurves, tangent plane, normal, normal curvature, Gaussian curvature
9. Surfaces generation, cylindrical, surfaces of revolution, helicoids
10. Surface visualization algorithm
11. Rendering pipeline: lighting, shading and visibility
12. 3D visualization, modeling of stereoscopic observation
13. Solution of term papers
Presence in the seminar is obligatory.