Subject: Geometry and Visualization of 3D Space (09 - IA007)

Basic Information

Scientific or art field:Computer Graphics
Course specification

Course is active from 01.10.2010..

Development of the spatial visualization ability, the knowledge of selected geometric forms on the two-dimensional (2D) display of parallel projection.
Ability to identify and interpret spatial relationships of studied spatial shapes from corresponding 2D displays as well as knowledge of their geometric structures. Ability to define optimal approximation of general forms for their constructive performance.
Basic element of spatial visualization. Projection, directions of observation and types of images of basic geometric forms. Criteria for obtaining typical views and positions of the object with an objective of direct detection of metric properties and recognition of spatial relationships of objects. Visibility concepts. Application of complex forms. Visualization of geometric structures of complex 3D forms. Analysis criteria of straight and cross-sectional surfaces, typical elements of these sections. Concepts of visibility and visual realism. Spatial and straight curves as guides or generators of "traditional" surfaces. Typical views and direct detection of geometric structures of those surfaces. Developable and nondevelopable surfaces; Straight line generated quadrics, conoids, cylindroids, helical surfaces, arches, vaults and domes, roofs, etc.. Shading and visual realism. Basic principles of shading. The shade light. Detection of typical elements in the shadows thrown in orthogonal and oblique views and axonometric images. Central and parallel lighting.
Lectures, computer exercises. Consultations.
R. Štulić, V.StojakovićGEOMETRIJA I VIZUELIZACIJA SLOBODNIH FORMI, podloge za predavanja2007Fakultet tehničkih nauka, Novi SadSerbian language
Dovniković LazarNacrtna geometrija1992Univerzitet u Novom SaduSerbian language
Farin G.Curves and Surfaces for CAGD-A Practical Guide2002Morgan KaufmannEnglish
Pottman, Asperl, HoferKilian Architectural Geometry2007Bentley Institute PressEnglish
Course activity Pre-examination ObligationsNumber of points
Exercise attendanceYesYes5.00
Graphic paperYesYes20.00
Written part of the exam - tasks and theoryNoYes20.00
Lecture attendanceYesYes5.00
Oral part of the examNoYes10.00
Name and surnameForm of classes
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Stojaković Vesna
Full Professor

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Nedučin Dejana
Associate Professor

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Lazić Marko
Assistant Professor

Practical classes
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Mitov Dejan
Assistant - Master

Practical classes