Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Geometry and Visualization of Free Form (17.A183)

Native organizations units: Department of Architecture and Urban Planning

Type of studies	Title
Undergraduate Academic Studies	Architecture (Year: 4, Semester: Summer)

General information:

Category	Theoretical-methodological
Scientific or art field	Geometric Space Theory and Interpretation in Architecture and Urbanism
ECTS	3

Development of the ability to visualize space, introduction of chosen geometric forms in two-dimensional (2D) view of parallel projection.

Ability to identify and interpret spatial relationships of the examined spatial shapes in the corresponding 2D views, as well as the knowledge of their geometric structures. Ability to define optimal approximations of general forms for their constructive realization.

Geometric structures and visualization of free 3D forms. Spatial and plane curves as directrices or generatrices in surfaces' generation. Bezier’s and B-spline curves and surfaces- Ruled and developable surfaces. Curvature and smoothness of surfaces. Toroidal surfaces: the torus and the toroid. Convolute surface. Partial developable surfaces with plane and spatial curves in general position as directrices. Generation surfaces of general form. Decomposition and approximation of general forms. Mesh–based methods.

Lectures. Computer-auditory Practice. Tutorials.

Authors	Title	Year	Publisher	Language
Pottmann, Asperl, Hofer, Kilian	Architectural Geometry	2007	Bentley Institute Press	English
Farin G	Curves and Surfaces for CAGD-A Practical Guide, 5th edition	2002	Morgan Kaufmann	English

Course activity	Pre-examination	Obligations	Number of points
Test	Yes	Yes	10.00
Lecture attendance	Yes	Yes	5.00
Final exam - part two	No	Yes	20.00
Final exam - part one	No	Yes	50.00
Computer exercise attendance	Yes	Yes	5.00
Complex exercises	Yes	Yes	10.00