Results 171 to 180 of about 14,182 (200)
Conformal Geometry Processing [PDF]
, 2013 This thesis introduces fundamental equations and numerical methods for manipulating surfaces in three dimensions via conformal transformations. Conformal transformations are valuable in applications because they naturally preserve the integrity of geometric data.
Crane, Keenan Michael
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Fundamentals of Computational Conformal Geometry
Mathematics in Computer Science, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianfeng David Gu +2 more
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Surfaces in Conformal Geometry
Annals of Global Analysis and Geometry, 2000This short paper is a very readable overview on some aspects of conformal surface geometry. Particular emphasis is put on (constrained) Willmore surfaces, a topic that the author crucially contributed to (as the name indicates) after corresponding work on their local geometry by Blaschke and Thomsen [cf.
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Conformal Geometry on a Surface
The Annals of Mathematics, 1938This paper generalizes to the case of curved surfaces certain theorems of plane conformal geometry due to Kasner.2 The results obtained are: expressions for the invariants of horn angles of first and second order contact and the general right angle, and the first few conformal symmetry formulas.
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Conformal Geometry and the Cyclides of Dupin
Canadian Journal of Mathematics, 1980A Riemannian manifold (M, g) is said to be conformally flat if every point has a neighborhood conformai to an open set in Euclidean space. Over the past thirty years, many papers have appeared attacking, with varying degrees of success, the problem of classifying the conformally flat spaces which occur as hypersurfaces in Euclidean space. Most of these
Cecil, Thomas E., Ryan, Patrick J.
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Applied Conformal Carroll Geometry
We construct conformal Carroll geometry by gauging the conformal Carroll algebra. In doing so, we pay special attention to the way the so-called intrinsic torsion tensor components enter into the transformation rules of the geometric fields. As an application of our results, we couple a single electric/magnetic massless scalar to conformal Carroll ...Eric Bergshoeff +4 more
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Geometry of Discrete Conformal Structures
Calculus of Variations and Partial Differential EquationsThis paper continues an investigation into conformal structure on surfaces with boundaries that was initiated by \textit{X. Xu} and \textit{C. Zheng} [``Discrete conformal structures on surfaces with boundary (I) -- Classification'', Preprint, \url{arXiv:2401.05062}].
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Quasi-Conformal Geometry and Hyperbolic Geometry
2002These notes deal with connections between quasi-conformal and hyperbolic geometry. In particular, we show how tools in geometric function theory like Poincare inequalities or Loewner spaces can be used to study problems in hyperbolic geometry, for instance the problem of rigidity of quasi-isometries in Gromov hyperbolic spaces.
Marc Bourdon, Hervé Pajot
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