An analytical formulation for collision avoidance maneuvers involving a spacecraft and space debris is presented, including solutions the maximum deviation minimum probability cases. Gauss’s planetary equations relative motion are used to map at given time displacements predicted close approach. The model then extended changes in state between two times, allowing one propagate covariance matric...

Static grasping of a spherical object by two robot fingers is studied in this paper. The fingers may be rigid bodies or elastic beams, they may grasp the body with various orientation angles, and the tightening displacements may be linear or angular. Closed-form solutions for normal and tangential contact forces due to tightening displacements are obtained by solving compatibility equations, fo...

It is well known that real points of the Study quadric (sliced along a 3-dimensional generator space) correspond to displacements of the Euclidean 3-space. But we still lack of a kinematic meaning for the points of the ambient 7-dimensional projective space P7. This paper gives one possible interpretation in terms of displacements of the Euclidean 4-space. From this point of view we also discus...

We present some new formulae for the solution of boundary value problems for a two-dimensional isotropic elastic body. In particular, using the so-called Dbar formalism and the method introduced by Fokas (2008) [4], we obtain integral representations of the Fourier type for the displacements appearing in boundary value problems formulated in an arbitrary convex polygon with n sides. © 2011 Else...

Mechanical stress affects and regulates many aspects of the cell, including morphology, growth, differentiation, gene expression and apoptosis. In this study we show how mechanical stress perturbs the intracellular structures of the cell and induces mechanical responses. In order to correlate mechanical perturbations to cellular responses, we used a combined fluorescence-atomic force microscope...

In this paper we present a new method to estimate optical flow for large displacements. It is based on prediction of global flow field parameters, performs better than multiresolution estimation methods and has been verified using standard test sequences as well as real-world data. Global flow field parameters can be estimated from optical flow measurements in all flow regions. They can then be...

A permutation ) ( 2 1 n π π π π  = of {1, 2,..., n} is called k-sorted if and only if , k i i ≤ −π for all . 1 n i ≤ ≤ We propose an algorithm for generating the set of all k-sorted permutations of {1, 2,..., n} in lexicographic order. An inversion occurs between a pair of ( i π , j π ) if i < j but i π > j π . Let I(n, k) denote the maximum number of inversions in k-sorted permutations. For k...

We study the asymptotic distribution of the displacements in hashing with coalesced chains, for both late-insertion and early-insertion. Asymptotic formulas for means and variances follow. The method uses Poissonization and some stochastic calculus.

In the last decade, there has been an increasing interest in compensating thermally induced errors to improve the manufacturing accuracy of modular tool systems. These modular tool systems are interfaces between spindle and workpiece and consist of several complicatedly formed parts. Their thermal behavior is dominated by nonlinearities, delay and hysteresis effects even in tools with simpler g...