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Protocol for quantitative characterization of human retinotopic maps using quasiconformal mapping [PDF]
STAR Protocols, 2023 Summary: High-field functional magnetic resonance imaging generates in vivo retinotopic maps, but quantifying them remains challenging. Here, we present a pipeline based on conformal geometry and Teichmüller theory for the quantitative characterization ...
Duyan Ta +3 more
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Topology-preserving smoothing of retinotopic maps. [PDF]
PLoS Computational Biology, 2021 Retinotopic mapping, i.e., the mapping between visual inputs on the retina and neuronal activations in cortical visual areas, is one of the central topics in visual neuroscience.
Yanshuai Tu +3 more
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Area distortion under certain classes of quasiconformal mappings [PDF]
Journal of Inequalities and Applications, 2017 In this paper we study the hyperbolic and Euclidean area distortion of measurable sets under some classes of K-quasiconformal mappings from the upper half-plane and the unit disk onto themselves, respectively.
Alfonso Hernández-Montes +1 more
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Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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The Quasisymmetric Mappings under the Quasihyperbolic Metric in Real Banach Spaces
Journal of Mathematics, 2022 Suppose that E,E′ are Q-regular Banach spaces, that G⊂E and G′⊂E′ are domains, and that f:G⟶G′ is a homeomorphism. The aim of this study is to prove that the quasisymmetric mapping under the quasihyperbolic metric is equivalent to the freely ...
Caicai Hu, Liang Guo
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Pluriharmonic Mappings with the Convex Holomorphic Part
Journal of Mathematics, 2022 In 2018, Partyka et al. established several equivalent conditions for a sense-preserving locally injective harmonic mapping f=h+g¯ in the unit disk D with convex holomorphic part h to be quasiconformal in terms of the relationships of two-point ...
Ma Lihua, See Keong Lee
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Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables
Journal of Inequalities and Applications, 2008 Let B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping f∈H(B) to be extended to a quasiconformal homeomorphism of â„Â2n onto itself.
Gabriela Kohr, Paula Curt
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Isolated singularities of mappings with the inverse Poletsky inequality
Математичні Студії, 2021 The manuscript is devoted to the study of mappings with finite distortion, which have been actively studied recently. We consider mappings satisfying the inverse Poletsky inequality, which can have branch points.
E.A. Sevost'yanov
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Fat Triangulations, Curvature and Quasiconformal Mappings
Axioms, 2012 We investigate the interplay between the existence of fat triangulations, P L approximations of Lipschitz–Killing curvatures and the existence of quasiconformal mappings. In particular we prove that if there exists a quasiconformal mapping between
Emil Saucan, Meir Katchalski
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ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n
Проблемы анализа, 2015 Some of the earlier results of author concerning distortion of the moduli of ring domains under planar locally quasiconformal mappings are generalized on the case of locally quasiconformal mappings in Rn, n ≥ 2.
S. Yu. Graf
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