We have developed a G-continuous cubic A-spline, suitable for smoothing polygonal chains used in 2D shape representation. The proposed A-spline scheme interpolates an ordered set of data points in the plane, as well as the direction and sense of tangent vectors associated to these points. We explicitly characterize curve families which are used to construct the A-spline sections, whose members ...

Approximation of helices has been studied by using in many ways. In this study, it examined how a circular helix can be written as Bezier curve and the 3th degree, 5th 7th degree Maclaurin series expansions for polynomial forms. Hence, they cubic, order, order curves, based on control points with matrix form we have already given E3. Further coefficients expansion helix.

Cubic splines were fitted to the maxillary dental arches of 27 children with permanent dentitions, all having Class I molar, cuspid, and buccal segment relationships. A set ofdata points was chosen to represent arch form, and of these points, five were used as knots of the spline. Error of the fit of the curve was evaluated through the analysis of normals to the curve computed from those points...

Recursive evaluation procedures based on spherical linear interpolation and stationary subdivision algorithms based on geodesic midpoint averaging are used to construct the analogues on spheres of arbitrary dimension of Lagrange and Hermite interpolation and Bezier and B-spline approximation.

Particle size distribution (PSD) is a fundamental physical property of soils. Traditionally, the PSD curve was generated by hand from limited data of particle size analysis, which is subjective and may lead to significant uncertainty in the freehand PSD curve and graphically estimated cumulative particle percentages. To overcome these problems, a log-cubic method was proposed for the generation...

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...