| Course Unit Code | 714-0556/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Third Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| DLO44 | Mgr. Dagmar Dlouhá, Ph.D. |
| HAM73 | Mgr. Radka Hamříková, Ph.D. |
| DOL75 | Mgr. Jiří Doležal |
| CER0007 | Mgr. František Červenka |
| Summary |
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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. |
| Learning Outcomes of the Course Unit |
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• 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 |
| Course Contents |
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The program of lectures
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1 Basic geometric objects (point, line, plane), terms and constructions
2 Planimetry - properties of triangles
3 Planimetry - basic constructions of triangles (altitudes, medians, angles)
4 Planimetry - advanced constructions of triangles (identity mappings, inscribed circle, add to trapezium)
5 Planimetry - homothety (tangent of two circles, triangle inscribed to square)
6 Conics - derived from right circular conical surface, the definition of an ellipse
7 Conics - construction of an ellipse of the specified elements
8 Conics - definition and construction of a hyperbola
9 Conicc - definition and construction of a parabola
10 Kinematic Geometry - elliptical and cadioidical motion
11 Kinematic Geometry - conchoidical and cyclical movements
12 Stereometry - cuts of a cube
13 Stereometry - cuts of other solids
14 Reserve
Program of exercises and seminars + individual students' work
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1 Introduction to PovRAY, basic elements of the scene (camera, light, background)
2 Basic solids (sphere, cylinder, cone, cuboid)
3 Colors, textures
4 Transformations (translation, rotation, scaling)
5 Set operations (union, intersection, difference)
6 Practical Workshop - creating of a realistic static scene
7 PovRay programming (variables, while loop)
8 Implicit surfaces (BLOB)
9 Programming in PovRay (mathematical function)
10 Practical Workshop - creating dynamically generated static scene
11 Animation (clock variables and framenumber)
12 Animation (controlling of animated objects trajectories)
13 Practical Workshop - realistic animation of static scene
14 Practical Workshop - Preparation of semestral project |
| Recommended or Required Reading |
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| Required Reading: |
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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. |
Urban, A.: Deskriptivní geometrie I, II. Praha, SNTL 1965, 1967.
Piska, R. – Medek, V.: Deskriptivní geometrie I, II. Praha, SNTL 1966.
Žára J., Beneš B., Felkel P.: Moderní počítačová grafika. Computer Press, Praha 1998. |
| Recommended Reading: |
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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. |
Urban, A.: Deskriptivní geometrie I, II. Praha, SNTL 1965, 1967.
Piska, R. – Medek, V.: Deskriptivní geometrie I, II. Praha, SNTL 1966.
Žára J., Beneš B., Felkel P.: Moderní počítačová grafika. Computer Press, Praha 1998. |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Project work, Other activities |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 20 | 5 |
| Examination | Examination | 80 (80) | 30 |
| Written examination | Written examination | 60 | 25 |
| Oral | Oral examination | 20 | 5 |