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Terminated in academic year 2019/2020

Geometry with Computer

Type of study Bachelor
Language of instruction Czech
Code 714-0556/02
Abbreviation GP
Course title Geometry with Computer
Credits 5
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. František Červenka

Subject syllabus

1st block

Basic geometric objects (point, line, plane), terms and constructions
Planimetry - properties and constructions of triangles (altitudes, medians, angles, identity mappings, inscribed circle, add to trapezium), homothety (tangent of two circles, triangle inscribed to square)
Conics - derived from right circular conical surface, the definition and construction of an ellipse, a hyperbola and a parabola
Kinematic Geometry - elliptical and cadioidical motion, conchoidical and cyclical movements

2nd block

Stereometry - cuts of a cube and other solids
Introduction to PovRAY, basic elements of the scene (camera, light, background)
Basic solids (sphere, cylinder, cone, cuboid)
Colors, textures
Transformations (translation, rotation, scaling)
Set operations (union, intersection, difference)
Creating of a realistic static scene
PovRay programming (variables, while loop, mathematical function)
Implicit surfaces (BLOB)
Creating dynamically generated static scene
Animation (clock variables and framenumber, controlling of animated objects trajectories)
Realistic animation of static scene

Literature

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005.
Foley, J., van Dam, A., Feiner, S., Hughes, J.: Computer Graphics-Principles and Practise. 2nd ed., Addison-Wesley, Reading, Massachusetts, 1990.

Advised literature

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005.
Foley, J., van Dam, A., Feiner, S., Hughes, J.: Computer Graphics-Principles and Practise. 2nd ed., Addison-Wesley, Reading, Massachusetts, 1990.