This paper is the extended introduction of a series of papers about modelling T-homotopy by refinement of observation. The notion of T-homotopy equivalence is discussed. A new one is proposed and its behaviour with respect to other construction in dihomotopy theory is explained. The main feature of the two algebraic topological models of higher dimensional automata (or HDA) introduced in [GG03]...

We consider certain classes of operators in the exact conformal field theory SL(2,R) × SU(2) × U(1) describing strings in an AdS3 × S × T geometry supported by Neveu–Schwarz 3-form fluxes. This background arises in the near-horizon limit of a system of NS5-branes wrapped on a 4-torus and F1-branes smeared on the 4-torus when both types of branes are located at the same point in their common tra...

Image registration is a building block for many applications in computer vision and medical imaging. However the current methods are limited when large and highly non-local deformations are present. In this paper, we introduce a new direct feature matching technique for non-parametric image registration where efficient nearest-neighbor searches find global correspondences between intensity, spa...

Non-metric consumer cameras have become more and more advanced in the recent years. Their capability to measure deformations has been tested and described in the paper. Two preliminary experiments were conducted. In the first preliminary experiment a test of image matching and geometric accuracy was conducted. Based on that test, second preliminary test was conducted in which we tested three no...

The problem described in this paper concerns transforming a given geometric shape into another in a continuous manner. Important examples of surface deformation have been intensively investigated in the past few years. Shape deformation of three-dimensional geometric objects is a time consuming operation, but at the same time for some applications, like computer games, an opportunity to produce...

We propose an efficient image-matching method for deformable-object image matching using discrimination of deformable objects and geometric similarity clustering between feature-matching pairs. A deformable transformation maintains a particular form in the whole image, despite local and irregular deformations. Therefore, the matching information is statistically analyzed to calculate the possib...

We assess the influence of geometric aberrations on optical traps’ in-plane performance by studying the dynamics of trapped colloidal spheres in deliberately distorted holographic optical tweezers. The traps’ lateral stiffness turns out to be insensitive to moderate amounts of coma, astigmatism and spherical aberration. Moreover, holographic aberration correction enables us to compensate inhere...

In the present paper we study a model of deformations for system n Stieltjes strings located along geometric graph-star with nonlinear condition at node