Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Geometry and Visualization of 3D Space (17.IA007)

Native organizations units: Department of Architecture and Urban Planning

Type of studies	Title
Undergraduate Academic Studies	Engineering Animation (Godina: 1, Winter)

General information:

Category	Theoretical-methodological
Scientific or art field	Design
Interdisciplinary	Yes
ECTS	6

Educational goal:

Developing the ability of spatial visualization and spatial imagination and the ability to detect different mutual spatial relationships between three-dimensional (3D) geometric forms presented by parallel projections on a two-dimensional (2D) medium, as a basis for 3D analysis of each 2D view.

Educational outcome:

Ability to identify and interpret spatial relationships and geometric structures of learned forms based on their corresponding 2D views, as well as the ability to graphically represent 3D configurations on a 2D medium. Ability to interpret spatial properties of complex geometric shapes from their 2D views, as well as the ability to optimally represent learned 3D shapes throuh characteristic views; identification of their geometric structures; design of 3D geometric shapes.

Course content:

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 objects, with the aim of direct detection of their metric properties and recognition of spatial relationships. Application on more complex forms. Visualization and geometric structures of more complex 3D forms. Criteria for the analysis of intersections and their characteristics. Concepts of visibility and visual realism. Curves as guides when generating surfaces. Typical views and direct detection of geometric structures of those surfaces. Developable and non-developable surfaces; quadrics, conoids, cylindroids, helical surfaces, roofs, etc. Shading and visual realism. Basic principles of shading. Detection of typical elements of cast shadows in orthogonal views and axonometric images. Central and parallel lighting.

Teaching methods:

Lectures and practicals. Consultations.

Literature:

Authors	Title	Year	Publisher	Language
Loving, R.O., Hill, I.L., Pare, R.C.	Descriptive Geometry	1996	Prentice Hall PTR, New York	English
Pottman, Asperl, Hofer	Kilian Architectural Geometry	2007	Bentley Institute Press	English
Dovniković, L.	Nacrtna geometrija	1985	Univerzitet u Novom Sadu	Serbian language
R. Štulić, V.Stojaković	Geometrij i vizuelizacija slobodnih formi, podloge za predavanja	2007	Fakultet tehničkih nauka, Novi Sad	Serbian language
Farin G.	Curves and Surfaces for CAGD-A Practical Guide	2002	Morgan Kaufmann	English

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Exercise attendance	Yes	Yes	5.00
Oral part of the exam	No	Yes	10.00
Written part of the exam - tasks and theory	No	Yes	40.00
Test	Yes	Yes	10.00
Test	Yes	Yes	10.00
Lecture attendance	Yes	Yes	5.00
Graphic paper	Yes	Yes	20.00