The feeling of smoothness during the touching is delivered when the finger is rubbed on the surface. A static contact cannot provide such an information. The roughness noise, that is the friction noise generated during the sliding of two rough surfaces, is therefore the key phenomenon for the feeling of smoothness. To this end, a triboacoustical probe has been designed. This is a sort of artifi...

In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with ∅, X∈ , A( ) is the algebra generated by and M( ) is the set of nontrivial, finite, and finitely additive measures on A( ), and MR( ) is the set of elements of M( ) which are -regular. It is well known that any μ ∈M( ) induces a finitely additive measure μ̄ on an associated Wallman space. Whenever μ ∈MR( ), μ̄ is c...

We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces Lω, 1 < p <∞, with weights ω satisfying the Muckenhoupt’s Ap condition. Also, a realization result and equivalence between modulus of smoothness and the Peetre K-functional are proved in Lω for 1 < p <∞ and ω ∈ Ap.

The Cauchy problem for first order system L(t, x, ∂t, ∂x) is known to be well posed in L when a it admits a microlocal symmetrizer S(t, x, ξ) which is smooth in ξ and Lipschitz continuous in (t, x). This paper contains three main results. First we show that a Lipsshitz smoothness globally in (t, x, ξ) is sufficient. Second, we show that the existence of symmetrizers with a given smoothness is e...

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

AbslractWe present a set of recent results on the control of movements in which the hand interacts with force fields that simulate the presence of dynamical objects and of surface boundaries. These experiments exploit the possibility of using humanlrobot interactions for exploring if and how the smoothness is enforced by the adaptive control system. We conclude that a) subjects learn to generat...

A smooth surface imaged on the retina produces a smooth flow field. Thus, the visual system may group regions of smoothly varying flow to segment surfaces. We tested this idea by having observers perform a segmentation task on several stimuli that differed in their 3D interpretations but were all matched in the smoothness of their 2D flow fields. Performance varied across conditions with the be...

where l is a positive spatial smoothness penalty, G(fp, fq) is a function measuring the geometric inconsistency between fp and fq . Under the condition that l ≥ G(., .) ≥ 0, function (6) is submodular, and can be minimised by using graph-cut based methods (e.g., PEARL [1]). However, the condition l ≥ G(., .) ≥ 0 clearly limits the effect of the geometric consistency since the penalty G(., .) is...

applying 2d algorithms for inverting the potential field data is more useful and efficient than their 3d counterparts, whenever the geologic situation permits. this is because the computation time is less and modeling the subsurface is easier. in this paper we present a 2d inversion algorithm for interpreting gravity data by employing a set of constraints including minimum distance, smoothness,...