Recovering a hierarchical motion description of a long image sequence is one way to recognize objects and their motions. Intermediate-level and high-level motion analysis, i.e., recognizing a coordinated sequence of events such as walking and throwing, has been formulated previously as a process that follows high-level object recognition. This thesis develops an alternative approach to intermed...

Abstract In the present paper, we generalize celebrated classical lemma of Birch and Heegner on quadratic twists elliptic curves over ℚ {{\mathbb{Q}}} . We prove existence explicit infinite families with analytic ranks 0 1 for a large class curves, use points to explicitly construct rational order rank 1. addition, sho...

Expectations about future motions can influence both perceptual judgements and pursuit eye movements. However, it is not known whether these two effects are due to shared processing, or to separate mechanisms with similar properties. We have addressed this question by providing subjects with prior information about the likely direction of motion in an upcoming random-dot motion display and meas...

A homogeneous set is a non-trivial module of a graph, i.e. a non-unitary, proper subset H of a graph’s vertices such that all vertices in H have the same neighbors outside H . Given two graphs G1(V,E1), G2(V,E2), the Homogeneous Set Sandwich Problem asks whether there exists a sandwich graph GS(V,ES), with E1 ⊆ ES ⊆ E2, which contains a homogeneous set. Two are the algorithms which stand for th...

Using a fixed-energy amplitude in Randall-Sundrum single brane scenario, we compute the Newton potential on the brane. It is shown that the correction terms to the Newton potential involve a logarithmic factor. Especially, when the distance between two point masses are very small compared to AdS radius, the contribution of KK spectrum becomes dominant compared to the usual inversely square law....

This paper proposes a method for a subpixel accuracy detection of edges, ridges, and other curvilinear visual patterns, based on identification of their “extended color profiles”. These profiles accurately capture the image color in an orthogonal direction to the curve, in a range of a few pixels. It is well known that various types of “curvilinear visual patterns”, and not only edges and ridge...

Motivated by homothetic solutions in curvature-driven flows of planar curves, as well their many physical applications, this article carries out a systematic study oriented smooth curves whose curvature $$\kappa $$ is given function position or direction. The analysis informed dynamical systems point view. Though focussed on situations where the prescribed depends only distance r from one disti...

In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...

A two-step approach to address the toolpath planning optimization problem is introduced. The first step divides surface into zones with similar local geometric properties in order improve efficiency of tool-path algorithms. To do this, an unsupervised clustering algorithm (like K-means) used on a mesh defined by isoparametric curves. second applies each zone, according its optimal machining dir...