We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the gaussian, mean or anisotropic curvature measures of the offset of a compact set K with positive μ-reach can be estimated by the same curvature measures of the offset of a compact set K’ close to K in the Hausdorff sense. We show how these curvature measures can...

Foreign body (FB) aspiration is commonly seen in children and less commonly in the elderly. However, due to some social and cultural factors, a distinct group of tracheobronchial FB aspiration is increasingly recognized. We sought to assess our experience with such entity. A retrospective review of all cases with veil pin tracheobronchial FB aspiration in a single center over a 13-year period w...

abstract limitations of traditional (conventional) soil surveys and improvement of information technology have lead soil surveyors to invent new methods which are generally called digital soil mapping (dsm). the aim of these methods is the prediction of soil classes or soil properties based on easily-available or measuring environmental variables. the objective of this investigation is to study...

A notion of curvature is introduced in multivariable operator theory, that is, for commuting d tuples of operators acting on a common Hilbert space whose “rank” is finite in an appropriate sense. The curvature invariant is a real number in the interval [0, r] where r is the rank, and for good reason it is desireable to know its value. For example, there are significant and concrete consequences...

This paper describes the design and the evaluation for a simulation model for the dual curvature ultrasound phased array. The main goal of this simulation is to enhance the usage of dual curvature ultrasound phased array in ultrasound therapy with three dimensional phased arrays. In our simulation, focusing the total acoustic power within a specific phase can be controlled dynamically for each ...

When the interfacial energy is a nonconvex function of orientation, the anisotropic curvature flow equation becomes backward parabolic. To overcome the instability thus generated, a regularization of the equation that governs the evolution of the interface is needed. In this paper we develop a regularized theory of curvature flow in threedimensions that incorporates surface diffusion and bulk-s...

This paper presents hyperbolic rank rigidity results for rank 1, nonpositively curved spaces. Let M be a compact, rank 1 manifold with nonpositive sectional curvature and suppose that along every geodesic in M there is a parallel vector field making curvature −a2 with the geodesic direction. We prove that M has constant curvature equal to −a2 if M is odd dimensional, or if M is even dimensional...

The main result of this paper proves the existence of multiple solutions to a class of generalized constant mean curvature equations, called H-systems. Also contained is a regularity for conformal nharmonic maps.

This paper presents a novel approach to surface representation based on its diierential deformations. The evolution of an arbitrary curve by curvature deforms it to a round point while in the process simplifying it. Similarly, in this paper we seek a process that deforms an arbitrary surface into sphere without developing self-intersections, in the process creating a sequence of increasingly si...