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...

The important step in the turbine aerodynamic design is generation of blade element profiles to achieve the required flow deflection and smooth flow acceleration with minimum losses. During profile generation, in addition to aerodynamic performance, additional constraints of thermal, structural and castability requirements need to be considered. Thus profile generation is a trade-off between co...

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...

Modeling the 3D geometric configuration of yarn is the base of building the 3D fabric structure. The surfaces of the yarns are modeled by many facets. To improve the efficiency of modeling, 3D yarn is usually designed by Bezier curve, spline curve or B-spline curve on the principle of Computer Graphics. The paper reviews different 3D modeling methods for single yarn from the view of cross-secti...

We characterize of the Bernstein-Bezier (BB) form of an implicitly deened bivariate polynomial over a triangle, such that the zero contour of the polynomial deenes a smooth and single sheeted real algebraic curve segment. We call a piecewise G k-continuous chain of such real algebraic curve segments in BB-form as an A-spline (short for algebraic spline). We prove that the degree n A-splines can...

Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. In order to perform 3D reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. Mate...

A new approach to estimate the surface curvatures from 3D triangular mesh surfaces with Gaussian curvature’s geometry interpretation is proposed in this work. Unlike previous work, the proposed method does not use local surface fitting, partial derivative computation, or oriented normal vector recovery. Instead, the Gaussian curvature is estimated at a vertex as the area of its small neighborho...

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...

i=0 aix , ai ∈ R. We will denote by πn the linear (vector) space of all such polynomials. The actual degree of p is the largest i for which ai is non-zero. The functions 1, x, . . . , x form a basis for πn, known as the monomial basis, and the dimension of the space πn is therefore n + 1. Bernstein polynomials are an alternative basis for πn, and are used to construct Bezier curves. The i-th Be...