Local representation and construction of Beltrami fields

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

Computing Beltrami Fields

Abstract. For solving the non-linear equations governing force-free fields, an iterative methodology based on the splitting of the problem is described. On the basis of this splitting, three families of subproblems have to be solved numerically. The first problem consists to find a potential field. A mixed hybrid method is used to solve it. The second problem, which is a curl-div system, is sol...

Image retargeting via Beltrami representation

Image retargeting aims to resize an image to one with a prescribed aspect ratio. Simple scaling inevitably introduces unnatural geometric distortions on the important content of the image. In this paper, we propose a simple and yet effective method to resize an image, which preserves the geometry of the important content, using the Beltrami representation. Our algorithm allows users to interact...

Tight Beltrami fields with symmetry.

Tight Beltrami fields with symmetry. Abstract Given a Seifered fibred 3-manifold M equipped with an S 1-invariant contact form α, we provide a bound on the volume Vol(M) and the curvature, in a suitable adapted Riemannian metric to α, which implies universal tightness of the contact structure ξ = ker α.

Multiscale Representation of Deformation via Beltrami Coefficients