Course detail

Geometric Modeling

FAST-BAA103-AAcad. year: 2026/2027

Not applicable.

Language of instruction

English

Number of ECTS credits

3

Mode of study

Not applicable.

Guarantor

Mgr. Hana Boháčková, Ph.D.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Offered to foreign students

Of all faculties

Entry knowledge

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

Rules for evaluation and completion of the course

Aims

Professional knowledge
  • Introduction to fundamental projection methods and their application to technical problems. The students will understand coted projection, orthographic axonometry, and linear perspective.They will also get acquainted with visualization of surfaces used in technical practise using CAD tools.
Professional skills
  • The students will master the construction of an ellipse based on its focal properties, the basics of stereometry, perspective affinity, and perspective collineation. The students will be able to represent simple geometric solids and surfaces in coted projection and orthographic axonometry, including their sections and intersections with a line, using CAD software. In linear perspective, they will be able to depict a construction (architectural) object.
Competencies
  • The students will be prepared to continue further studies that build upon the knowledge gained in this course. The student will develop logical, spatial, and constructive thinking skills, which are essential for their academic progress.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

A Collection of Solved Problems in Descriptive Geometry, by the Author Team ÚMDG FaSt VUT v Brně https://mat.fce.vutbr.cz/studium/geometrie/ (EN)
Pare, Loving, Hill: Descriptive geometry, London, 1965 (EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BPA-SIS Bachelor's 1 year of study, summer semester, compulsory

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer

RNDr. Jana Slaběňáková
Mgr. Eva Jansová, 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.