Course Details

Geometric Modeling

Academic Year 2026/27

BAA103 course is part of 1 study plan

​ BPC-SIS / SI Summer Semester 1st year

Perspective collineation and affinity,circle in affinity. Coted projection, topographic surfaces, orthogonal axonometry and linear perspective.

Credits

3 credits

Language of instruction

Czech

Semester

summer

Course Guarantor

Mgr. Hana Boháčková, Ph.D.

Institute

Institute of Mathematics and Descriptive Geometry

Forms and criteria of assessment

course-unit credit

Entry Knowledge

Basics of plane and 3D geometry a stereometrie as taught at secondary schools.

Aims

Professional Knowledge:

  • Introduction to the basic types of projection and their applications in technical practice. Understanding of the basic concepts of orthographic projection with elevations, orthogonal axonometry, and linear perspective. Introduction to the representation of technical surfaces using a CAD system.

Professional Skills:

  • The student will be able to construct an ellipse based on its focal properties and will acquire basic knowledge of stereometry, perspective affinity, and perspective collineation. The student will be able to represent simple geometric solids and surfaces using orthographic projection with elevations and orthogonal axonometry, including their sections and intersections with a line. In linear perspective, the student will be able to represent a building structure.

General Competences:

  • The student will be able to continue with further studies in which the knowledge acquired in this course can be applied. The student will develop logical, spatial, and constructive thinking skills that are essential for their studies.



Basic Literature

Sbírka řešených příkladů z konstruktivní geometrie, Autorský kolektiv ÚMDG FaSt VUT v Brně https://mat.fce.vutbr.cz/studium/geometrie/ (cs)
BULANTOVÁ,J.,HON,P.,PRUDILOVÁ,K.,PUCHÝŘOVÁ,J.,ROUŠAR,J.,ROUŠAROVÁ,V.,SLABĚŇÁKOVÁ,J,ŠAFAŘÍK,J.: Deskriptivní geometrie, multimediální CD-ROM, verze 4.0, FAST VUT v Brně, 2012 (cs)
VALA, Jiří: Deskriptivní geometrie I,II, VUT Brno, 1997 (cs)
HOLÁŇ, Štěpán, HOLÁŇOVÁ, Libuše: Cvičení z deskr.geometrie II,III, VUT Brno, 1994 (cs)
PISKA, Rudolf, MEDEK, Václav: Deskriptivní geometrie I, II, SNTL, 1976 (cs)
ČERNÝ, Jaroslav, KOČANDRLOVÁ, Milada: Descriptive geometry, ČVUT, Praha, 1996 (cs)
Černý J., Kočandrlová M.: Konstruktivní geometrie, ČVUT Praha, 2003 (cs)

Recommended Reading

Pare, Loving, Hill: Descriptive geometry, London, 1965 (en)
Drábek K., Harant F.,Setzer O.: Deskriptivní geometrie I, SNTL Praha, 1978 (cs)
Fehér J.: Deskriptívna geometria v príkladoch, SNTL Bratislava, 1959 (cs)

Prerequisites

Basics of plane and 3D geometry a stereometrie as taught at secondary schools.

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/298857

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

1. Conic sections. Constructions based on focal properties.

2. Collineation, affinity. Construction of ellipse axes using affinity.

3. Coted projection (with dimensions).

4. Coted projection.

5. Coted projection.

6. Midterm test – 50 minutes. Orthogonal axonometry.

7. Orthogonal axonometry.

8. Orthogonal axonometry.

9. Linear perspective.

10. Linear perspective.

11. Midterm test – 50 minutes. Topographic surfaces

12. Topographic surfaces.

13. CAD. Final credits.

Self-study

52 weeks, 1 hours/week