Abstract—Bezier curves have useful properties for path generation problem, for instance, it can generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms join cubic Bezier curve segment smoothly to generate the path. Some of the useful properties of Bezier are curvature. In mathematics, curvature is the amount by which a geometric object deviates from being...

We develop an efficient algorithm for the construction of common tangents between a set of Bezier curves. Common tangents are important in visibility, lighting, robot motion, and convex hulls. Common tangency is reduced to the intersection of parametric curves in a dual space, rather than the traditional intersection of implicit curves. We show how to represent the tangent space of a plane Bezi...

Displaying objects with high accuracy is important in CAGD and for the synthesis of photo-realistic images. The representation of free-form surfaces can be classified into two: parametric surfaces such as Bezier patches, and implicit surfaces like metaballs. We discuss display methods for both Bezier patches and metaballs by using Bezier Clipping. Traditionally, polygonal approximation methods ...

.This paper is concerned with the range restricted interpolation of 'data on rectangular grids. The interpolant is constrained to lie on the same side of the constraint surface as the data. Sufficient non-negativity conditions on the Bezier ordinates are derived to ensure the non-negativity of a bicubic Bezier patch. The method modifies Bezier ordinates locally to fulfill the sufficient non-neg...

Iris is a strong biometric tool used for human authentication. In this methodology, the patterns in the iris such as rings, furrows and freckles can be envisaged a set of Bezier curves and hence represented by the corresponding Bezier points, resulting in considerable reduction in the file size. After the iris is captured using scanner, the patterns are extracted from the scanned image. Then th...

This paper proposed an efficient, intelligent and less complex method of face recognition. A hybrid approach of face recognition is proposed here using the neural networks and Bezier curves. Detection of structural facial features such as eyes, eyebrows, nose, lips and mouth boundaries is an essential process for various image processing task such as face recognition. In this paper we introduce...

We present two practical path planning algorithms based on Bezier curves for autonomous vehicles operating under waypoints and corridor constraints. Bezier curves have useful properties for the trajectory generation problem. This paper describes how the algorithms apply these properties to generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms generate t...

The international tokamak ITER is progressing towards assembly completion and first-plasma operation, which will be a physics engineering challenge for the fusion community. In preparation experimental scenarios, non-linear MHD simulations are playing an essential role to actively understand predict behaviour stability of plasmas in future power plant. development codes like JOREK key aspect th...

Ball basis was introduced for cubic polynomials by Ball, and was generalized for polynomials of higher degree by Said. An algorithmic approach to degree reduction of interval Said-Ball (SB) curve is presented in this paper. The four fixed Kharitonov's polynomials (four fixed SB curves) associated with the original interval SB curve are obtained. These four fixed SB curves are transformed into f...

-In this paper, we will present a simple and quick sampling method to digitize the cubic Bezier curves via controlled the chordal error. Key-Words: sampling method, chordal error, cubic Bezier curve