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Transformation manifolds are quite attractive for image analysis applications that require transformation invariance properties. The geometric structure of a transformation manifold has a profound influence on the design of processing algorithm, and the cu ...
We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M,g) and the Lq,p-cohomology of that manifold. The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential ...
We introduce a browser evaluation test (BET), and describe a trial run application of the test. The BET is a method for assessing meeting browser performance using the number of observations of interest found in the minimum amount of time as the evaluation ...
An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be de ...
We show that a continuous local semiflow of Ck-maps on a finite- dimensional Ck-manifoldM can be embedded into a local Ck-flow on M under some weak (necessary) assumptions. This result is applied to an open problem in [2]. We prove that finite-dimensional ...
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. ...
This paper addresses the problem of image alignment based on random measurements. Image alignment consists of estimating the relative transformation between a query image and a reference image. We consider the specific problem where the query image is prov ...
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. ...
We introduce a browser evaluation test (BET), and describe a trial run application of the test. The BET is a method for assessing meeting browser performance using the number of observations of interest found in the minimum amount of time as the evaluation ...
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 ...
