Spelling suggestions: "subject:"quasiconformal mapping."" "subject:"quasiconformally mapping.""
1 |
Untersuchungen über Jacobi-Determinanten von zweidimensionalen quasikonformen AbbildungenLeschinger, Karl. January 1974 (has links)
Thesis--Bonn. / Includes bibliographical references (p. 58-59).
|
2 |
Untersuchungen über Jacobi-Determinanten von zweidimensionalen quasikonformen AbbildungenLeschinger, Karl. January 1974 (has links)
Thesis--Bonn. / Includes bibliographical references (p. 58-59).
|
3 |
Quasiconformal mappings in the complex planeMercer, Nathan T. January 2006 (has links)
It is well known that, as a consequence of the Identity Theorem, we cannot "glue" together two analytic functions to create a new globally analytic function. In this paper we will both introduce and investigate special homeomorphisms, called quasiconformal maps, that are generalizations of the well known conformal maps. We will show that quasiconformal maps make this "gluing," up to conjugation, possible. Quasiconformal maps are a valuable tool in the field of complex dynamics. We will see how quasiconformal maps of infinitesimal circles have an image of an infinitesimal ellipse. Although quasiconformal maps are nice homeomorphisms, they might only be differentiable in the real sense almost everywhere and, surprisingly, complex differentiable nowhere. We shall rely on the work of Lehto and Virtanen as well as Shishikura in exploring these interesting complex valued functions. / Department of Mathematical Sciences
|
4 |
Surface registration using quasi-conformal Teichmüller theory and its application to texture mapping. / CUHK electronic theses & dissertations collectionJanuary 2013 (has links)
Lam, Ka Chun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 64-68). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts also in Chinese.
|
5 |
Melting snowballs /Meyer, Daniel, January 2004 (has links)
Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (leaves 108-111).
|
6 |
APPROXIMATIONS IN RECONSTRUCTING DISCONTINUOUS CONDUCTIVITIES IN THE CALDERÓN PROBLEMLytle, George H. 01 January 2019 (has links)
In 2014, Astala, Päivärinta, Reyes, and Siltanen conducted numerical experiments reconstructing a piecewise continuous conductivity. The algorithm of the shortcut method is based on the reconstruction algorithm due to Nachman, which assumes a priori that the conductivity is Hölder continuous. In this dissertation, we prove that, in the presence of infinite-precision data, this shortcut procedure accurately recovers the scattering transform of an essentially bounded conductivity, provided it is constant in a neighborhood of the boundary. In this setting, Nachman’s integral equations have a meaning and are still uniquely solvable.
To regularize the reconstruction, Astala et al. employ a high frequency cutoff of the scattering transform. We show that such scattering transforms correspond to Beltrami coefficients that are not compactly supported, but exhibit certain decay at infinity. For this class of Beltrami coefficients, we establish that the complex geometric optics solutions to the Beltrami equation exist and exhibit the same subexponential decay as described in the 2006 work of Astala and Päivärinta. This is a first step toward extending the inverse scattering map of Astala and Päivärinta to non-compactly supported conductivities.
|
7 |
Rigidity of Quasiconformal Maps on Carnot GroupsMedwid, Mark Edward 02 August 2017 (has links)
No description available.
|
Page generated in 0.0583 seconds