Detail předmětu

Geometric Modeling

Akademický rok 2026/27

BAA103-A předmět zařazen v 1 studijním plánu

​ BPA-SIS letní semestr 1. ročník

The student will be able to construct an ellipse based on its focal properties and demonstrate knowledge of the fundamentals of stereometry, perspectival affinity, perspectival collineation, and basic projection methods, including coted projection, orthogonal axonometry, and linear perspective.

The student will be able to represent simple geometric solids and surfaces using coted projection and orthogonal axonometry, including their sections and intersections with a line. In linear perspective, the student will be able to depict an architectural structure. The student will also master basic constructions on topographic surfaces.

Kredity

3 kredity

Jazyk studia

angličtina

semestr

letní

Garant předmětu

Mgr. Hana Boháčková, Ph.D.

Zajišťuje ústav

Ústav matematiky a deskriptivní geometrie

Způsob a kritéria hodnocení

zápočet

Vstupní znalosti

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

Učební cíle

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.

Základní literatura

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)

Prerekvizity

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

Nabízet zahraničním studentům

Nabízet studentům všech fakult

Předmět na webu VUT

https://www.vut.cz/studenti/predmety/detail/299092

Cvičení

13 týdnů, 2 hod./týden, povinné

Osnova

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.

Cvičení

13 týdnů, 2 hod./týden, povinné

Osnova

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.

Samostudium

52 týdnů, 1 hod./týden