Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Geometry of Discrete Spaces (17.IAM004)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Engineering Animation (Godina: 4, Summer)

General information:

Category	Theoretical-methodological
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	4

Educational goal:

Within the course students will get introduced to the basic characteristics of discrete spaces and their geometry. The knowledge of this type of space and its geometry is extremely important for the successful use of computer in the visualization and animation procedures. The objective is to give necessary theoretical basis about characteristics and basic assumptions of the working space –discrete space in the field of engineering graphics.

Educational outcome:

Acquisition of basic knowledge in the field of discrete space geometry. Introduction to the algorithms used in working with discrete space.

Course content:

Discrete space – basic concepts and characteristics. Discretization. Resolution. Integer network. Basic concepts of digital geometry and topology. Analysis of discrete geometric shapes and extraction of object properties. Shape descriptors. Numerical descriptors. Measurement of discrete sets, estimation. Distance. Morphological operations.

Teaching methods:

Lectures and auditory practice. Parts of the practice can be organized in the computer laboratory. Consultations.

Literature:

Authors	Title	Year	Publisher	Language
Nataša Matić Sladoje	Skripta	2011		Serbian language
Klette, R., Rosenfeld, A.	Digital Geometry:Geometric Methods for Digital Picture Analysis	2004	Morgan Kaufmann Publishers, Amsterdam	English