Faculty of Technical Sciences

Subject: Shape Modeling and Topological Shape Analysis (17.DOM64)

General information:
 
Category Scientific-professional
Scientific or art field Teorijska i primenjena matematika
ECTS 10

Enabling students to develop abstract thinking and acquire knowledge about modeling geometric shapes and their topological analysis. Modeling encompasses a wide spectrum of data structures for encoding geometric shapes. Topological analysis is mainly based on persistent homology.

To use the acquired knowledge in engineering subjects and in practice, postulate and solve mathematical models in engineering subjects using the knowledge about modeling and topological shape analysis.

Simplicial, cubical and cell complexes. Data structures for complexes. Navigation and operations on complexes and associated data structures. Euler characteristic, Betti numbers, homology and cohomology groups and generators, persistence.

Lectures. Consultations. The lectures are organized in combined form. The presentation of the theoretical part during the lecture classes is followed by the characteristic examples which contribute to better understanding of the subject matter. In addition to lectures there are regular consultations. Through research and study work the student will, on the bases of scientific journals and other relevant literature that has been studied independently, develop further understanding of the material covered in lectures. Working with the course teacher the student develops the ability to independently work on a scientific paper.

Authors Title Year Publisher Language
H. Edelsbrunner, J. Harer Computational Topology, an introduction 2010 American Mathematical Society English
razni Odabrani stručni materijal (naucni radovi, beleške s predavanja i slicno) sve English
Course activity Pre-examination Obligations Number of points
Term paper Yes Yes 50.00
Oral part of the exam No Yes 50.00

Prof. Čomić Lidija

Full Professor

Lectures

Prof. Čomić Lidija

Full Professor

Study research work

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

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Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.