Course Details

Geometric Modeling

Academic Year 2026/27

BAA103-A course is part of 1 study plan

​ BPA-SIS Summer Semester 1st year

Credits

3 credits

Language of instruction

English

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 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.

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)

Prerequisites

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

Offered to foreign students

To offer to students of all faculties

Course on BUT site

https://www.vut.cz/en/students/courses/detail/299092

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.

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