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In this paper, we generalize the famous Hasimoto's transformation by showing that the dynamics of a closed unidimensional vortex filament embedded in a three-dimensional manifold M of constant curvature, gives rise under Hasimoto's transformation to the no ...
We present three-dimensional (3D) micromixers realized in a monolithic glass substrate using a simple oblique powder-blasting microfabrication method and a single photosensitive elastomeric mask. The mixer topology consists of a curved microchannel that in ...
Today, there is an increasing requirement for very accurate computer visualization technology to simulate the interaction between the human body and essential elements of our everyday environment, such as clothing and accessories, buildings and architectur ...
Geometrically a crystal containing dislocations and disclinations can be envisaged as a "fixed frame" Cartan-Einstein space-time carrying torsion and curvature, respectively. We demonstrate that electrons in defected graphene are transported in the same wa ...
We investigate numerical simulations and visualizations of the problem of tying a knot in a piece of rope. The goal is to use the least possible rope of a fixed, prescribed radius to tie a particular knot, e.g. a trefoil, a figure eight, and so on. The rop ...
We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the Lq,p-cohomology of these manifolds. Some applications to vanishing and non vanishing results in Lq,p-cohomology are given. ...
The so-called first selection lemma states the following: given any set P of n points in a"e (d) , there exists a point in a"e (d) contained in at least c (d) n (d+1)-O(n (d) ) simplices spanned by P, where the constant c (d) depends on d. We present impro ...
We present results on the single step fabrication of autocentered nanopillars with surrounding circular rim. This particular 3-dimensional shape is created by the energy density distribution of incident and backscattered electrons and reflects the dual ...
This paper describes a two-sweep control design method to stabilize the acrobot, an input-affine under-actuated system, at the upper equilibrium point. In the forward sweep, the system is successively reduced, one dimension at a time, until a two-dimensiona ...
In this paper, we propose a novel method to register images defined on spherical meshes. Instances of such spherical images include inflated cortical feature maps in brain medical imaging or images from omnidirectional cameras. We apply the Geodesic Active ...
