The increasing demand for the use of database systems as an integrating factor in CAD/CAM applications has necessitated the development of database systems with appropriate modelling and retrieval capabilities. One essential problem is the treatment of geometric data which has led to the development of spatial databases. Unfortunately, most proposals only deal with simple geometric objects like...

To determination the volume and weight of nonuniform bodies, such as in ore deposits evaluation for mining and rock cutting for construction, the methods of interpolation are usually used. The classic curves, which are frequently used to interpolate one-dimensional data are cubic spline, Bspline and Bezier curves. These methods have good efficiency for determination of geometric characteristics...

The problem of topological optimization a symmetrical double-shear adhesive joint has been solved. suggested mathematical model with variable thickness generalizes the classic Holland–Reissner model. shape doubler is described by means Bezier curve. Seeking parameters in are coordinates reference points Both length and cross-section area can be considered an objective function. restriction appl...

Abstract Bezier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties provide the user with intuitive tools editing shape of a parametric polynomial curve. Even more control flexibility can be achieved by associating parameter each point considering rational curves, which comes additional advantage being able to represent all conic sect...

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...

In this paper, a role of corner detection in outline capturing system is studied/discussed, which is normally used as phase 1 of capturing. Three outline capturing techniques are studied, one without involving any corner detection and two techniques with most suited corner detectors. One common curve approximation method, with cubic Bezier curves, is used in all above techniques in order to stu...

In this paper, an efficient algorithm for automatic outline capture of digital character images is presented. This method is well suited for non-Roman languages like Arabic, Urdu, Persian, etc. Contemporary word processing systems store shapes of the characters in terms of their outlines, and outlines are expressed as cubic Bezier curves. The process of capturing outlines includes steps detecti...

The human hard palate shows between-subject variation that is known to influence articulatory strategies. In order to link such variation to human speech, we are conducting a cross-sectional MRI study on multiple populations. A model based on Bezier curves using only three parameters was fitted to hard palate MRI tracings using evolutionary computation. The fits produced consistently yield high...