Search results for "Fractal"
showing 10 items of 329 documents
Alterations of panoramic radiomorphometric indices in children and adolescents with beta-thalassemia major: A fractal analysis study
2021
Background Beta-thalassemia major is an inherited disorder that can cause bone deformity and loss of bone mineral density. The objective of this study is to evaluate the cortical and trabecular mandibular bone morphology of children and adolescents who have beta-thalassemia major (ß-TM) using a fractal dimension (FD) analysis and different panoramic radiomorphometric indices with digital panoramic radiographic images (DPRIs). Material and Methods The study included 80 patients (with 40 patients each of ß-TM and control). The mandibular cortical width (MCW), panoramic mandibular index (PMI), mandibular cortical index (MCI), and simple visual estimation (SVE) were evaluated, and an FD analysi…
Bayesian semiparametric long memory models for discretized event data
2020
We introduce a new class of semiparametric latent variable models for long memory discretized event data. The proposed methodology is motivated by a study of bird vocalizations in the Amazon rain forest; the timings of vocalizations exhibit self-similarity and long range dependence. This rules out Poisson process based models where the rate function itself is not long range dependent. The proposed class of FRActional Probit (FRAP) models is based on thresholding, a latent process. This latent process is modeled by a smooth Gaussian process and a fractional Brownian motion by assuming an additive structure. We develop a Bayesian approach to inference using Markov chain Monte Carlo and show g…
Dimension of projection : Marstrand's theorem
2022
Tässä tutkielmassa todistetaan Marstrandin projektiolause käyttäen apuna potentiaaliteoriaa. Projektiolauseen mukaan 2-ulotteisen Borel joukon ortogonaaliprojektion Hausdorffin dimensio on luvun 1 ja kyseisen Borel joukon dimension minimi melkein kaikkiin eri suuntiin. Intuitiivisesti lause kertoo, että joukon varjon dimensio on suurin mahdollinen. Marstrandin projektiolauseen todistamiseksi tutkielmassa rakennetaan teoria alkaen yleisen mittateorian perustuloksista. Mittateorian pohjalta määritellään Hausdorffin mitta, jonka avulla määritellään joukon Hausdorffin dimensio. Intuitiivisesti Hausdorffin dimensio kuvaa joukon geometrista kokoa ja se on yksikäsitteinen jokaiselle joukolle. Haus…
Fractal investigation of the buit-up area in metropolitan areas, of transportation networks and of the urban growth
1994
International audience
Microéconomie résidentielle et géométrie fractale : calibrage d'une aire urbaine française
2002
International audience
Simulation de scénarios fractals d’urbanisation et des mobilités quotidiennes résultantes
2017
International audience
La modélisation fractale des tissus urbains. De l'analyse morphologique au concept d'aménagement
2017
International audience
Effets de la distance et dépendance d’échelles dans les modèles géographiques de villes et de territoires
2020
International audience
A planning concept for a sustainable development of metropolitan areas based on a multifractal approach
2011
International audience
La formalisation fractale des tissus urbains
1998
The article concerns the fractal approach as it can bring new results making more understandable the morphology of agglomerate urban patterns. A new paradigm is developed, in order to improve the study of urban organizations according to optimization criteria. Specific fractal and multifractal methods are explicitated and applied to the knowledge of some big metropolitan areas and towns in Franche-Comté (France).