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We propose here some basic approaches to direct processing of the 360o-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...
Summary: We present a method based on an optimal control technique for numerical computations of geodesic paths between two fixed points of a Riemannian manifold under the assumption of existence. In this method, the control variable is the tangent vector ...
We study obstructions for a quasi-regular mapping f : M -> N of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of M. ...
We present a semiclassical technique that relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor o ...
We obtain Liouville type theorems for mappings with bounded s-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded q-codistorsion. ...
We prove in this paper that the equation Δpu+h=0 on a p- hyperbolic manifold M has a solution with p-integrable gradient for any bounded measurable function h:M→R with compact support. ...
We consider Wave Maps with smooth compactly supported initial data of small (H) over dot (3/2)-norm from R3+1 to certain 2-dimensional Riemannian manifolds and show that they stay smooth globally in time. Our methods are based on the introduction of a glob ...
In this technical report the Discrete Wavelet Frames are build on the already existing Spherical Continuous Wavelet Transform. The spherical half-continuous frames are explored, i.e when the position on the sphere is kept continuous variable. Then, the con ...
The use of higher order autocorrelations as features for pattern classification has been usually restricted to second or third orders due to high computational costs. Since the autocorrelation space is a high dimensional space we are interested in reducing ...
We prove in this paper that the equation Deltapu+h=0 on a p-hyperbolic manifold M has a solution with p-integrable gradient for any bounded measurable function h : M -> R with compact support. ...
