230-0442/03 – Geometry with Computer (GP)

Gurantor departmentDepartment of MathematicsCredits5
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.Subject version guarantorMgr. František Červenka
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER0007 Mgr. František Červenka
DLO44 Mgr. Dagmar Dlouhá, Ph.D.
DOL75 Mgr. Jiří Doležal
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Combined Credit and Examination 16+0

Subject aims expressed by acquired skills and competences

• to solve planimetric and stereometric tasks with the help of computer • to know how to characterize geometric curves and surfaces by synthetic and also analytic way • to acquaint with geometric and physical principles of 3D modeling

Teaching methods

Lectures
Individual consultations
Tutorials
Project work
Other activities

Summary

The course combines geometric and computer disciplines - planimetry, stereometry, analytic geometry, 3D modeling, computer graphics and programming. In the exercise there is used free software GeoGebra and POV-Ray.

Compulsory 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. http://mdg.vsb.cz/portal/gp/Dlouha_cervenka-geometrie_na_pocitaci.pdf

Recommended 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.

Way of continuous check of knowledge in the course of semester

Credit and test requirements Conditions for granting credit - participation in seminars Term project - Creating an animated movie of your own using POV-Ray - the theme is, if possible, a real scene with several objects in a suitable composition - Up to 2 members can work on one subject - Creation in POV-Ray environment is evaluated: suitable choice of geometric objects, level of execution of their external appearance, use of set operations CSG, realization of more identical or similar objects by means of programming directives (use of cycles, conditions, etc.), transparency of source code (use of notes), parameterization of objects in the scene (suitable parameter names), resulting animation - overall: the idea, using as many objects and options as possible, using unexplored objects and options (own initiative) Exam - The exam will be divided into two parts and can be completed in one regular and two correction terms - practical part - defense of semester project - theoretical question Scoring - Practical part of the exam is evaluated by max. 80 points, minimum 25 points are required - at the theoretical part it is possible to reach max. 20 points, at least it is necessary to have at least 5 points - The overall rating is based on a standard table points mark 86-100 1 excellent 66-85 2 very good 51-65 3 well 0-50 4 failed

E-learning

Další požadavky na studenta

They are no other requests fo students.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

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

Conditions for subject completion

Combined form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30
                Written test Written test 60  25
                Oral exam Oral examination 20  5
Mandatory attendence parzicipation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

Show history

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Occurrence in special blocks

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