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...

A swarm intelligence based method is presented in this paper to solve the problem of parameterization of given set of planar and spatial data points, which may be uniformly or non-uniformly spaced, for least squares fitting with Bezier curves. The basic framework of the proposed method relies on fireworks algorithm. Performance of the proposed method is tested through several example curves of ...

This work demonstrates in practical terms the evolutionary concepts and computational applications of Parametric Curves. Specific cases were drawn from higher order parametric Bezier curves degrees 2 above. find real life diverse areas Engineering Computer Science, such as computer graphics, robotics, animations, virtual reality, among others. Some issues explored this are equations derivations...

A design of a class of linkages is presented which are less complex than those suggested by Kapovich and Millson in the con…guration of conventional planar linkages. Conventional linkage constraints are relaxed allowing sliding joints and telescoping links. The precise number of …xed links, telescoping links, and sliding contacts is determined for this modern linkage to trace a Bézier curve of ...

It is an important problem to compute the geodesics on a surface in many fields. To find the geodesics in practice, however, the traditional discrete algorithms or numerical approaches can only find a list of discrete points. The first author proposed in 2010 a new, elegant and accurate method, the geodesic-like method, for approximating geodesics on a regular surface. This paper will present b...

The Bezier formulation for parametric curves has many quali ties, among them the intuitive relationship between the shape of the control polygon and the shape of the curve , and the case of computation and subdivision. Other formulations , however, have become more popular because they offer local control, or because they are interpolating, or even more recently because they provide the added f...

The final products/maps of any synergistic geo-scientific interpretation project of an E&P company are stored as CGM (Computer Graphics Meta) files. These include (1) time and depth maps at various levels and (2) maps of sand extent and thickness in established or development fields used for reserve estimates. Normally, CGM files for maps of former type are generated in various interpretation w...

A technique has been designed for capturing outlines by exploiting the properties of cubic Bezier curves. The planar images are used to extract the outline. The outline is divided into curve segments at high curvature points and each segment is processed independently for piecewise curve approximation. The proposed algorithm avoids the traditional method of least square fitting which is time co...