Measure preserving fractal homeomorphisms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33144965" target="_blank" >RIV/61989592:15310/14:33144965 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-3-319-08105-2_5" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-319-08105-2_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-08105-2" target="_blank" >10.1007/978-3-319-08105-2</a>
Alternative languages
Result language
angličtina
Original language name
Measure preserving fractal homeomorphisms
Original language description
The basic theory of fractal transformations is recalled. Then, for a fractal homeomorphism generated by a pair of affine iterated function systems, a condition under which the tranformation is measure (i.e. area, volume, etc.) preserving, is established.Thereafter three families of fractal homeomorphisms, two of them entirely new, generated by pairs of affine iterated function systems, are introduced. It is proved that they admit subfamilies that preserve n-dimensional Lebesque measure, where n is 2 or3. Several examples are illustrated and applications to computer aided design and manufacture, via three-dimesional printing, are envisaged.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.20.0170" target="_blank" >EE2.3.20.0170: Building of Research Team in the Field of Environmental Modeling and the Use of Geoinformation Systems with the Consequence in Participation in International Networks and Programs</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of Conference on fractals and wavelets
ISBN
978-3-319-08104-5
ISSN
2194-1009
e-ISSN
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Number of pages
24
Pages from-to
79-112
Publisher name
Springer Basel
Place of publication
Basel
Event location
Kochin, India
Event date
Nov 9, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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