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...

Gour C. Karmakar, Laurence S. Dooley, and John Arkinstall Bezier curves (BC) have become fundamental tools in many challenging and varied applications, ranging from computer aided geometric design to generic object shape descriptors. A major limitation of the classical Bezier curve however, is that only global information about its control points (CP) is considered, so there can often be a larg...

This paper presents a new method to generate curves, which allows the designer to produce a curve in combinational way allowing him to get the shape that he had in his imagination with keeping the four control point for the curve design. Basing on the modified BEZIER curve, the upgraded algorithm used de Casteljau algorithm on interval [r, s] as a mathematical base to upgrade the suggested meth...

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...

Where a 2D problem of optimal profile in variable speed flow is resolved in a class of convex Bezier curves, using symbolic and numerical computations.

This paper presents a Web based system for capturing outlines of 2D shapes using Matlab Web Server. From a simple user interface in HTML, any Web user can upload his data and view the results. Cubi c Bezier curve design is used to capture the outlines. In that, outline is divided into curve segments at corner points and curve approximation of each segment is performed by estimation of Bezier co...

Based on the original image of plants leaves, the edge detection method will be used to extract the geometrical morphology of leaves. The characteristic points of the contour can be calculated by Harris method. The characteristic points will be used to construct the cubic Bezier curve fitting of contours of leaves, the leaf vein is generated by L system. Finally, the simulation drawing of plant...