In this paper, we study the spatial node stationary distribution of two variations of the Random Waypoint (in short, RWP) mobility model. In particular, differently from the RWP mobility model, that connects source to destination points by straight lines, our models make use of Manhattan or (more realistically) Bezier paths. We provide analytical results for the spatial node stationary distribu...

We post-process lossy images compressed by JPEG algorithms (DCT and LOCO) using the Bezier function for enhancement. The Bezier function is done by table lookup for speed, and does blending (in contrast to interpolation) on low-activity regions. Active regions, detected by using a threshold of 3/2 of the quantization step size, are left alone. The threshold is theoretically justified, overcomes...

In this work, a comprehensive control strategy for obstacle avoidance in redundant manipulation is presented, consisting of combination off-line path planning algorithms with on-line motion control. Path allows the fixed obstacles detected before start robot’s motion; it based on potential fields method combined smoothing process realized by means interpolation Bezier curves. The designed to co...

This paper aims to design and generate a loft surface using three distinct curves (Hermitee cubic curve, straight line, quadratic Bezier curve) analyze its characteristics in isotropic space type-2-Bishop. Moreover, the surface's 1st 2nd - fundamental forms were investigated. In addition, their Gaussian, mean, second Gaussian curvatures I3 computed first type-2-Bishop curvatures. Furthermore, r...

Modeling, simulation and visualization of three-dimension complex bodies widely use mathematical model of curves and surfaces. The most important curves and surfaces for these purposes are curves and surfaces in Hermite and Bezier forms, splines and NURBS. Article is devoted to survey this way to use geometrical data in various computer graphics systems and adjacent fields. Simulation, modeling...

Parametric curves and surfaces have b e en with us for a long time, and their use for object mode ling in Computer Graphics (as opposed to designing in CAD a pplica tions ) is still growing. There is sometimes. however, a r elucta nce t o use them because i t seems that the added power they give is more than otIse t by the complexity of their formulations and their computat.ions. The purpose of...

In order to investigate the fundamental properties of q-Bernstein basis functions, we give generating functions for these basis functions and their functional and differential equations. In [16], [15] and [17], we construct a novel collection of generating functions to derive many known and some new identities for the classical Bernstein basis functions. The main purpose of this paper is to con...

This paper presents a computational model for pattern analysis and classification using symmetry group theory. The model was designed to be part of an integrated management system for pattern design cataloguing and retrieval in the textile and tile industries. While another reference model [6], uses intensive image processing operations, our model is oriented to the use of graphic entities. The...

This is the first one in a sequence of several papers dedicated to the development of applications of Euler Beta-function B-splines (BFBS) to Computer-aided Geometric Design (CAGD) and, in particular, for geometric modelling of parametric curves, surfaces and volume deformations. This study is an analogue of the study conducted in [12, 10] for the case of expo-rational Bsplines (ERBS). An impor...

In this paper we introduce Bezier Lights, an intelligent lighting system that allows users to intuitively establish virtual boundaries in indoor environments. Boundaries can be easily created/modified by arranging the layouts of disk-shaped devices (“stones”) on the building floor. The immediate purpose of the system is to assist users in incorporating location-aware capabilities into private p...