Course detail

Geometric Modeling

FAST-BAA103Acad. year: 2026/2027

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

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Guarantor

Mgr. Hana Boháčková, Ph.D.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Entry knowledge

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

Rules for evaluation and completion of the course

Students have to pass two credit tests.
Followed by an exam with a pass rate of at least 50%.

Students who fail to obtain the required number of points will be given the opportunity to take a resit credit test.

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.



Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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)
Černý J., Kočandrlová M.: Konstruktivní geometrie, ČVUT Praha, 2003 (CS)
ČERNÝ, Jaroslav, KOČANDRLOVÁ, Milada: Descriptive geometry, ČVUT, Praha, 1996 (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)
Sbírka řešených příkladů z konstruktivní geometrie, Autorský kolektiv ÚMDG FaSt VUT v Brně https://mat.fce.vutbr.cz/studium/geometrie/ (CS)
VALA, Jiří: Deskriptivní geometrie I,II, VUT Brno, 1997 (CS)

Recommended reading

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

Classification of course in study plans

  • Programme akr_BPC-SIS Bachelor's

    specialization A_SI , 1 year of study, summer semester, compulsory

  • Programme BPC-SIS Bachelor's

    specialization SI , 1 year of study, summer semester, compulsory

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer

Mgr. Hana Boháčková, Ph.D.

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 hours, optionally

Teacher / Lecturer

Mgr. Hana Boháčková, Ph.D.