Minimal Surfaces in the Roto-Translation Group with Applications to a Neuro-Biological Image Completion Model

- translation group with applications to a neuro - biological image completion model

We investigate solutions to the minimal surface problem with Dirichlet boundary conditions in the roto-translation group equipped with a subRiemannian metric. By work of G. Citti and A. Sarti, such solutions are amodal completions of occluded visual data when using a model of the first layer of the visual cortex. Using a characterization of smooth minimal surfaces as ruled surfaces, we give a m...

Translation invariant surfaces in the 3-dimensional Heisenberg‎ ‎group

‎In this paper‎, ‎we study translation invariant surfaces in the‎ ‎3-dimensional Heisenberg group $rm Nil_3$‎. ‎In particular‎, ‎we‎ ‎completely classify translation invariant surfaces in $rm Nil_3$‎ ‎whose position vector $x$ satisfies the equation $Delta x = Ax$‎, ‎where $Delta$ is the Laplacian operator of the surface and $A$‎ ‎is a $3 times 3$-real matrix‎.

Translation surfaces according to a new frame

In this paper we studied the translation surfaces according to a new frame called q-frame in three dimensional Euclidean space. The curvatures of the translation surface are obtained in terms of q-frame curvatures. Finally some special cases are investigated for these surfaces.

investigating the integration of translation technologies into translation programs in iranian universities: basis for a syllabus design in translation technology

today, information technology and computers are indispensable tools of any profession and translation technologies have become an indispensable part of translator’s workstation. with the increasing demands for high productivity and speed as well as consistency and with the rise of new demands for translation and localization, it is necessary for translators to be familiar with market demands an...

As an Image of the Extended Modular Group with Applications to Group Actions on Surfaces