Course content

Space Visualization

Code:

143211

Abbreviation:

B23B07

Higher education institution:

Faculty of Geodesy

ECTS credits:

3.0

Load:

15(L) + 30(E)

Issuing teachers:

Senior Lecturer Nikol Radović, MSc

Course contractors:

Senior Lecturer Nikol Radović, MSc (L, E)

Course description:

The aim of the course is to develop students' space ability, creative thinking and solving spatial problems of geodetic profession with the use of construction methods of descriptive geometry. Learning outcomes at the level of the programme to which the course contributes <ul><li>To know theoretical principals, procedures of computer processing and visualisation of surveying data. <li>To understand the mathematical methods and physical laws applied in geodesy and geoinformatics. <li>To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics, <li>To use information technology in solving geodetic and geoinformation tasks. <li>To plan the continuation of academic education in the field of geodesy and geoinformatics, or related disciplines, and to develop the lifelong learning attitude.</ul> Learning outcomes expected at the level of the course <ul><li>To define, to differentiate and to apply the central / parallel projection, <li>To draw/ to construct an accurate representation/drawing of any geometric figures (two-dimensional or three-dimensional) by the use of a projection methods (axonometric, perspective), <li>To analyze and to explain the interrelations of geometric figures and metric properties in the plane or space, <li>To draw/ to construct orthogonal axonometric of sphere and on in it a point given with its geographic coordinates, <li>To apply the method of the quoted projections in presentations of the fields, <li>To construct a perspective image of geometric figures given by its projections, <li>To construct thrown shadows of simple and complex geometric figures.</ul> Course content broken down in detail by weekly class schedule (syllabus) <ol><li>A brief history of descriptive geometry. <li>Monge's projection on two planes (points, lines, segments). <li>Orthogonal projection plane and mutual relations between planes, lines and points <li>Monge's projections on three planes <li>Solving different metric task by rotation method <li>Axonometric method in visualization of geometric figures (application isometric triangular meshes points) <li>Orthogonal Axonometric projection of sphere (construction point on sphere which is given by its geographic coordinates) <li>Sections of geometric figures with planes and other geometrical figures <li>Flashes square / rounded geometric figures listed projections <li>Solving the topographic surface. <li>Perspective projection basic concepts and rules. <li>Alberti's construction of perspective images <li>The construction of perspective images of geometric figures with one / two vanishing points. <li>Shadow. Construction thrown shadow geometric figures to another geometric figure</ol> Screening student work <ul><li>Class attendance - 0.3 ECTS <li>Homework - 0.5 ECTS <li>Tests - 0.5 ECTS <li>Oral exam - 0.5 ECTS <li>Written exam - 0.5 ECTS <li>Project - 0.7</ul>

Mandatory literature:

Juraj Justinijanović (1964): Nacrtna geometrija

Recommended literature:

1. P. Mladinić, N. Radović. Nacrtna geometrija - Perspektiva - Mongeov postupak - Aksonometrija, Proven grupa, Zagreb, 2016.

2. P. Mladinić, N. Radović, I. Martinić. Nacrtna geometrija u IPAQ Peta projektu * Mongeov postupak*Aksonometrija, V. gimnazija, Zagreb, 2016.

Ema Jurkin, Vlasta Szirovicza (2005): Deskriptivna geometrija

Course in study programme:

Code	Name of study	Level of study	Semester	Required/Elective
71	Geodesy and Geoinformatics	undergraduate	3	elective

* the course is not taught in that semester

Legend

E - Exercises

L - Lectures