Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematical Shape Modeling for Computer Animation (17.IAM001)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Engineering Animation (Godina: 2, Winter)

General information:

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

Educational goal:

In this course students will be introduced to the basic techniques of shape display – curves, surfaces, and other geometric objects. Analytical methods are used and also different numerical methods of approximation necessary in the practice when starting from the discrete set of points.

Educational outcome:

Acquisition of basic knowledge in the field of parametric and non-parametric display of curves, surfaces and other objects in space. Understanding the basic techniques as well as their practical application in the professional practice problems.

Course content:

Cruves in space – given explicitly, implicitly, parametrically. Surfaces – parameterization, polygonization. Numerical mathods for approximation of curves and surfaces – interpolation polinomials, Hermite splines, uniform and non-uniform B- splines, Bezier curves and surfaces, least squares approximation. Methods of filtering curves and surfaces and adequate optimization algorithms.

Teaching methods:

Lectures, Audio and Computer Practice. Consultations. During the Audio Practice the knowledge from the lectures is applied and practiced. During the practice studied algorithms are tested and their applicability is studied and analyzed. During the semester students work on the term paper which is worth 25% of the points. In the written part of the examination the student may win up to 50% of the points, and in the oral part of the examination up to 20% of the points. In order for the student to pass the examination, he/she has to win at least one half of the possible point at the written part of the examination and to show satisfying knowledge at the oral part of the examination. The course grade is formed based on the won points in the term paper, written and oral part of the examination.

Literature:

Authors	Title	Year	Publisher	Language
Hoschek, J., Lasser, D.	Fundamentals of computer aided geometric design	1993	A.K.Peters, Massachusetts	English
Thomas W. Sederberg	COMPUTER AIDED GEOMETRIC DESIGN	2011		English