Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

After the course the students should understand and know how to use the basics of orthogonal axonometry, skew projection, and linear perspective.Helix, developable helicoidal surface, right closed rule helicoidal surface. Surfaces of revolution . Warped surfaces. Lighting. Teoretical designs of roofs. Introduction to topopgraphic surfaces.

Construction of conics using their focal properties.Perspective collineation, perspectoive affinity, affine image of a circle. Monge projection.

Not applicable.

Not applicable.

Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

Lectures
1. Basics of lihting. Technical lighting.
2. Rotation symmetric surfaces, sections of rotation-symmetric surfaces.
3. Lighting of surfaces of revolution .
4. Axonometry – basics.
5. Orthogonal axonometry.
6. Skew axonometry, skew projection.
7. Linear perspective.
8. Linear perspective.
9. Basics of photogrammetry. Reconstruction from a vertical picture.
10. Warped quadrics. Hyperbolic paraboloid. One-sheet hyperboloid.
11. Higher order warped surfaces.Theoretical designe of roofs.
12. Helix, developable helicoidal surface, helicoidal conoid.
13. Topografic surfaces.
Seminars
1. Revision – Monge projection.
2. Technical lighting.
3. Tangent plane of a rotation-symmeric surface, section of a rotation-symmetric surface.
4. Lighting a rotation-symmetric surface.
5. Orthogonal axonometry. Metric problems in coordinate planes.
6. Orthogonal axonometry. Projections of simple bodies and surfaces, their sections and intersections with a straight line.
7. Projecting in skew projection. Projection of a circle in a coordinate plane. Displaying simple bodies and surfaces, their sections and intersections ith a straight line.
8. Linear perspective. Intersection method. Constructing a free perspective.
9. Linear perspective. Method of rotated ground plan. Other methods of projecting a perspective.
10. Linear perspective. Vertical picture. Reconstructing an object from a perpendicular picture.
11. Warped hyperboloid, construction. Hyperbolic paraboloid. Roofing by hyperbolic paraboloid.
12. Higher-order warped surfaces. Theoretic design of roofs.
13. Constructing a helix. Right helicoidal conoid.

Not applicable.

After the course the students should understand and know how to use the basics of orthogonal axonometry, skew projection, and linear perspective.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Not applicable.

Not applicable.

BULANTOVÁ,J.,HON,P.,PRUDILOVÁ,K.,PUCHÝŘOVÁ,J.,ROUŠAR,J.,ROUŠAROVÁ,V.,SLABĚŇÁKOVÁ,J.,ŠAFAŘÍK,J.: Deskriptivní geometrie, multimediální CD. FAST VUT v Brně, 2004. (CS)
Piska, R., Medek, V.: Deskriptivní geometrie I.. SNTL Praha, Alfa Bratislava, 1975. (CS)
Piska, R., Medek, V.: Deskriptivní geometrie II.. SNTL Praha, Alfa Bratislava, 1975. (CS)

Holáň, S., Holáňová, L.: Cvičení z deskriptivní geometrie II., III.. VUT Brno, 1994. (CS)
Puchýřová, J., Bulantová, J., Prudilová,K., Zrůstová,L.: Úlohy o přímkových plochách (ke stažení na webové stánce Ústavu matematiky FAST VUT v Brně). 2006. (CS)
Puchýřová, J., Bulantová, J., Prudilová,K., Zrůstová,L.: Úlohy v kosoúhlém promítání (ke stažení na webové stánce Ústavu matematiky FAST VUT v Brně). 2006. (CS)
Šafařík, J.: Technické osvětlení (ke stažení na webové stánce Ústavu matematiky FAST VUT v Brně). 2006. (CS)
Šafářová, H.: Teoretické řešení střech (ke stažení na webové stánce Ústavu matematiky FAST VUT v Brně). 2006. (CS)
Vala, J.: Deskriptivní geometrie I., II.. VUT Brno, 1997. (CS)