Course detail
Computer Graphics
FSI-SPG Acad. year: 2020/2021 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 figures, hide and shading algorithm, textures.
Language of instruction
Czech
Number of ECTS credits
3
Supervisor
Department
Learning outcomes of the course unit
Students will apply the knowledge acquired in theoretical and computer courses. This knowledge will be extended by technical curves and surfaces and real objects, as well as ability to demonstrate technical data in different ways. Students will improve the quality of algorithm construction and Delphi environment knowledge.
Prerequisites
Descriptive geometry, Basic course of algenra, programming techniques and their implementation in Borland Delphi
Planned learning activities and teaching methods
The course is taught through exercises which are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes
Graded course-unit credit is awarded on condition of having worked out assigned graphic program constructed in Borland DELPHI environment, and semester work – building of a greater graphic program.
Aims
Students will apply the knowledge acquired in mathematical analysis, algebra, geometry and previous courses dealing with computers. Theoretical knowledge will be practically applied when building geometrical models of real systems.
Specification of controlled education, way of implementation and compensation for absences
Missed lessons may be compensated for via a written test.
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. Euclidean space. Topologic dimension, curve, surface, solid. Projective space, dividing ratio, cross ratio. Raster graphics. Pixel, colour spaces, RGB cube.
2. 2-D transforms, analytic representation and composition.
3. Analytic curves, algorothms their construction construction. Point function, tangent and normal of curve, curvature. Affine combination, control points, Beziere curves, B-spline curves, NURBS curves.
4. Motion, analytic representation, software modelling. Animation principles.
5. Analytic representation of parallel and orthogonal projection, elementary solids modelling. Analytic surfaces, isolines, tangent plane, normal, normal and Gaussian curvature
6. Basic method of surface modelling, NURBS surfaces.
7. Lighting of elementar solids, lighting models in computer graphics, shading and rendering
8. Lighting models, ray tracing, ray casting.
9. Hausdorff dimension and its measure, fractal. Self-similarity and self-afinity. Random walk method.
10. Statistical self-similarity, midpoint moving method.
11. L-systems
12. 13. Semestral work
Presence in the seminar is obligatory.