Search results for "Conformal"
showing 10 items of 234 documents
Quasiextremal distance domains and extension of quasiconformal mappings
1985
Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings
2001
We prove that quasiconformal maps onto domains which satisfy a suitable growth condition on the quasihyperbolic metric are uniformly continuous when the source domain is equipped with the internal metric. The obtained modulus of continuity and the growth assumption on the quasihyperbolic metric are shown to be essentially sharp. As a tool, we prove a new capacity estimate.
Incidence of mandibular osteoradionecrosis (MORN) after intensity modulated radiotherapy (IMRT) versus 3D conformal radiotherapy (3D-CRT): A systemat…
2022
Background: Analyze the incidence of MORN after head and neck radiotherapy by two novel irradiation techniques. 3DCRT and IMRT and compare the success rates of distinct authors. Material and Methods: An electronic search in Pubmed (MEDLINE), Ovid. Google Scholar and Cochrane Library (Wiley). databases was conducted with the key words Radiotherapy, Conformal[Mesh] OR Radiotherapy. Intensity-Modulated[Mesh]) AND Osteoradionecrosis[Mesh] for all databases. The inclusion criteria randomized controlled trials (RCT), as well as prospective and retrospective cohort studies published in English; MORN patients treated with 3D-CRT y IMRT. Results: 27 articles were selected from 194 initially found. 1…
Riemann surfaces and Teichmüller theory
2017
Riemannin pinnat ja Teichmüller-teoriaa. Tämän työn päämääränä on määritellä Riemannin pintojen Teichmüller-avaruudet sekä tutkia niiden geometrisia ominaisuuksia. Ensin työssä kehitetään peiteavaruuksien ja toimintojen teoriaa, jota sovelletaan Möbius-kuvauksista koostuviin ryhmiin. Tämän jälkeen kvasikonformaalikuvaukset määritellään Riemannin pinnoille ja niiden yhteyttä yhdesti yhtenäisten Riemannin avaruuksien kvasikonformikuvauksiin tutkitaan. Näitä tietoja sekä yhdesti yhtenäisten Riemannin pintojen uniformisaatiolausetta hyödyntämällä todistetaan yleisten Riemannin pintojen uniformisaatiolause. Tämä tulos liittää pinnat Möbius-kuvauksien toimintoihin yhdesti yhtenäisillä Riemannin p…
ConformalALU: A Conformal Geometric Algebra Coprocessor for Medical Image Processing
2015
Medical imaging involves important computational geometric problems, such as image segmentation and analysis, shape approximation, three-dimensional (3D) modeling, and registration of volumetric data. In the last few years, Conformal Geometric Algebra (CGA), based on five-dimensional (5D) Clifford Algebra, is emerging as a new paradigm that offers simple and universal operators for the representation and solution of complex geometric problems. However, the widespread use of CGA has been so far hindered by its high dimensionality and computational complexity. This paper proposes a simplified formulation of the conformal geometric operations (reflections, rotations, translations, and uniform …
Broadband photocurrent enhancement in a-Si:H solar cells with plasmonic back reflectors
2014
The authors acknowledge Francesco Ruffino for the AFM measurements. This work was funded by the EU FP7 Marie Curie Action FP7-PEOPLE-2010-ITN through the PROPHET project (Grant No. 264687), the bilateral CNR/AVCR project "Photoresponse of nanostructures for advanced photovoltaic applications", the MIUR project Energetic (Grant no. PON02_00355_3391233) and by the Portuguese Science Foundation (FCT-MEC) through the Strategic Project PEst-C/CTM/LA0025/2013-14 and the research project PTDC/CTM-ENE/2514/2012. Plasmonic light trapping in thin film silicon solar cells is a promising route to achieve high efficiency with reduced volumes of semiconductor material. In this paper, we study the enhance…
Bi-Sobolev extensions
2022
We give a full characterization of circle homeomorphisms which admit a homeomorphic extension to the unit disk with finite bi-Sobolev norm. As a special case, a bi-conformal variant of the famous Beurling-Ahlfors extension theorem is obtained. Furthermore we show that the existing extension techniques such as applying either the harmonic or the Beurling-Ahlfors operator work poorly in the degenerated setting. This also gives an affirmative answer to a question of Karafyllia and Ntalampekos.
Analytic capacity and quasiconformal mappings with $W^{1,2}$ Beltrami coefficient
2008
We show that if $\phi$ is a quasiconformal mapping with compactly supported Beltrami coefficient in the Sobolev space $W^{1,2}$, then $\phi$ preserves sets with vanishing analytic capacity. It then follows that a compact set $E$ is removable for bounded analytic functions if and only if it is removable for bounded quasiregular mappings with compactly supported Beltrami coefficient in $W^{1,2}$.
Hölder continuity of Sobolev functions and quasiconformal mappings
1993
A form factor approach to the asymptotic behavior of correlation functions in critical models
2011
We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable) models. In the large distance regime we reduce the summation over all excited states to one over the particle/hole excitations lying on the Fermi surface in the thermodynamic limit. We compute these sums, over the so-called critical form factors, exactly. Thus we obtain the leading large distance behavior of each oscillating harmonic of the correlation function asymptotic expansion, including the corresponding amplitudes. Our method is applicable to a wide variety of integrable models and yields precisely the results stemming from the Lutt…