The exterior sphere condition is compared to proximal smoothness, and examples are provided, which show that the two properties are not necessarily equivalent. Then conditions are given under which equivalence holds, and an open question involving the union of uniform closed balls property is stated in the form of a conjecture.

Ultrasound Nakagami parametric imaging is a useful tool for tissue characterization. Previous literature has suggested using a square with side lengths corresponding to 3 times the transducer pulse length as the minimum window for constructing the Nakagami image. This criterion does not produce sufficiently smooth images for the Nakagami image to characterize homogeneous tissues. To improve ima...

It is known, in harmonic analysis theory, that maximal operators measure local smoothness of L p functions. These are used to study many important problems function theory such as the embedding theorems Sobolev type and description space terms metric measure. We Sobolev-type results...

In this paper, we propose an analog integrated circuit to compute the motion field of a time-varying image by means of a multiple-constraint method. The chip converts optical input to electrical form with an array of on-chip image sensors. A resistive network is used to smooth the input image. The spatial and temporal derivatives of the image are used to compute the optical-flow constraint. An ...

Image fidelity (inferred by the ability to discriminate between two images) and image quality (inferred by the preference for one image over another) are often assumed to be directly related. In this study, we investigated the relationship between the perceived image fidelity and image quality of halftone textures. Subjects were asked to rank order a set of printed halftone swatches on the basi...

The purpose of this present paper is to give an equivalent theorem on Lupaş operators with ω φλ(f, t), where ω r φλ(f, t) is Ditzian-Totik modulus of smoothness for linear combination of Lupaş operators.

In the paper, the problem of multi-objective (MOBJ) learning is discussed. The problem of obtaining apparent (effective) complexity measure, which is one of the objectives, is considered. For the specific case of RBFN, the bounds on the smoothness-based complexity measure are proposed. As shown in the experimental part, the bounds can be used for Pareto set approximation.

We consider reheating after inflation with a non-standard kinetic term. We show that the difference in the kinetic term in different Hubble patches inherited from the long-wavelength moduli inhomogeneities may generate a significant level of non-Gaussianity after inflation.