Topological invariants in designing functional clothing
Teachers in charge
izv. prof. dr. sc. Slavica Bogović
Study
Textile Science and Technology - postgraduate
Course summary
30
ECTS
4
Knowledge verification
oral exam, Seminar
Lecture type
lectures, seminars
Exercise type
seminars
Subject content
Homeomorphisms and topological invariants that can be applied in the design of garments and cutting parts (number of components, cut points, point indexes, unicursional curves, Jordan's theorem, Euler's theorem, Euler's characteristics, and bonding operations) will be studied. 3D body analysis will be performed by 3D scanning as an input layer for the study of topological invariants. The results obtained will be used as a basis for designing clothing primarily for people with special needs, and protective clothing tailored to the specific body type, degree of protection and specific requirements based on topological invariants. The course will analyze and compare the features and results of existing and new computer-based methods based on topological invariants for better tailoring of body shape and better function of the garment or clothing system.
Aim of course
The aim of the course is to develop a computerized method of constructing patterns based on digitized human bodies ,using a scientific approach and studying topological invariants.
Literature necessary for course
- Boltjanskij; Efremovič: Što je topologija, Školska knjiga, Zagreb, Hrvatska (1973)
- Y.Borovich, N. Blizniakov, Y. Izrailevich & T. Fomenco: Introduction to Topology, Mir Publishers, Moscow, (1980)
- S. Bogović; D. Rogale; V. Šimić.: Topological properties of garment, Book of proceedings of the 2nd International Textile, Clothing & Design Conference, Dragčević, Z. (Ed.), 514-519, ISBN 953-7105-05-9, 2nd Dubrovnik, October 3rd-6th 2004, Faculty of Textile Technology University of Zagreb, Zagreb, Croatia (2004)
- T. Babinec: Renzo's Math490 Introduction to Topology,Publisher: CreateSpace Independent Publishing Platform (October 13, 2014), ISBN-10: 1502795841; ISBN-13: 978-1502795847
- R. Ghrist: Elementary Applied Topology, Publisher: CreateSpace Independent Publishing Platform; 1 edition (September 1, 2014), ISBN-10: 1502880857, ISBN-13: 978-1502880857
- R. A. Scott: Textiles for protection, The Textile Institute, Woodhead Publishing, 30th October 2005, ISBN: 9781855739215 R. A. Chapman: Smart textiles for protection, Woodhead Publishing Limited, 10th December 2012, ISBN: 9780857090560
- N. Pan and G. Sun: Functional textiles for improved performance, protection and health, Woodhead Publishing, 21st June 2011, ISBN: 9781845697235 D. Cvetković: Computer simulation, InTech, Rijeka, 2017., ISBN:978-953-51-3206-6
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