Rational Bezier and B-spline representations of circles have been heavily publicized. However, all the literature assumes the rational Bezier segments in the homogeneous space are both planar and (equivalent to) quadratic. This creates the illusion that circles can only be achieved by planar and quadratic curves. In this paper we show circles that are formed by higher order rational Bezier curv...

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...

Interval Bezier curve are new representation forms of parametric curves. Using this new representation, the problem of lack of robustness in all state-of-the art CAD systems can be largely overcome. In this paper this concept has been discussed to form a new curve over rectangular domain such that its parameter varies in an arbitrary range , instead of standard parameter , -. Where and are real...

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...

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...

The paper presents a method of expressing CST shapes pioneered by Kulfan into stan­ dard Bezier curves and surfaces. Out of the seven standard shape classes identified by Kulfan as representable using CST curves, four of them, including airfoils, can be repre­ sented as Bezier curves exactly. For the other three, a convergent series expansion proves insufficient to achieve any practical accurac...

This paper proposes four methods to approximate circular arcs using quartic Bezier curves. Barycentric coordinates of two/three combination of control points are used to obtain an optimal approximation. Interior control points of quartic Bezier curves are found by satisfying G data from given circular arcs. The maximum errors between circular arcs and approximated curves are calculated using Ha...

-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