Multifractal analysis Dotaz Zobrazit nápovědu
A lot of insect families have physical structures created by evolution for coloration. These structures are a source of ideas for new bio-inspired materials. The aim of this study was to quantitatively characterize the micromorphology of butterfly wings scales using atomic force microscopy and multifractal analysis. Two types of butterflies, Euploea mulciber ("striped blue crow") and Morpho didius ("giant blue morpho"), were studied. The three-dimensional (3D) surface texture of the butterfly wings scales was investigated focusing on two areas: where the perceived colors strongly depend on and where they do not depend on the viewing angle. The results highlight a correlation between the surface coloration and 3D surface microtexture of butterfly wings scales.
- MeSH
- biologické modely MeSH
- fraktály MeSH
- křídla zvířecí ultrastruktura MeSH
- matematické pojmy MeSH
- mikroskopie atomárních sil MeSH
- motýli ultrastruktura MeSH
- nanostruktury ultrastruktura MeSH
- pigmentace MeSH
- povrchové vlastnosti MeSH
- zobrazování trojrozměrné MeSH
- zvířata MeSH
- zvířecí šupiny ultrastruktura MeSH
- Check Tag
- zvířata MeSH
- Publikační typ
- časopisecké články MeSH
- práce podpořená grantem MeSH
osculated by sigma-discs -- and limit sets of inversion (\"Kleinian\") groups (M1983m) 205 -- IV MULTIFRACTAL that vanish exponentially -- almost everywhere: DLA and Minkowski (2003) 221 -- C20 Invariant multifractal Hamiltonian -- systems and related structures (Gutzwiller & M 1988) 231 -- C21 The Minkowski measure and multifractal squared plus c (1982-2003) . 259 -- * C24 The Fatou and Julia stories (2003) 268 -- * C25 Mathematical analysis
Selected works of Benoit B. Mandelbrot ; Selecta volume C
[1st ed.] xii, 308 s. : il.
- MeSH
- fyzika MeSH
- matematika MeSH
- Konspekt
- Přírodní vědy. Matematické vědy
- NLK Obory
- přírodní vědy
Introduction: The study is devoted to the development of new analytical procedures that would be fit for further study of the cerebral bioelectric activity (EEG) and may become reliable tools for diagnosing schizophrenia by using EEG. Objective of the study: The study was aimed at detecting new “neuromarkers” suitable for diagnosing schizophrenia by using EEG. Materials and methods: The subjects of the study were healthy individuals and patients with schizophrenia, both groups having been examined while either in the state of the undisturbed wakefulness or under mental exertion (backward counting in memory). Fractal characteristics of EEG traces has been determined by applying the Multifractal Detrended Fluctuation Analysis (MDFA). Results: The dimensionality values of the dominant monofractal (the localization of the multifractal spectral function maxima) in patients with schizophrenia while in the state of undisturbed wakefulness could be increased in comparison with the healthy subjects. Have introduced a “decision-making rule” that allows to rate the status of tested subjects with special reference to the risk factors (suspected signs of schizophrenia) by employing the sets of data obtained by applying the procedures of multifractal analysis towards the EEG traces. A diagnostic method allowing the detection of EEG signals pathologically deviating from normal ranges of values based on the use of multifractal characteristics has been suggested.