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...

To nd a global and smooth curve tting, cubic B-Spline method and gathering-line methods are investigated. When segmenting and recognizing a contour curve of character shape, some global method is required. If we want to connect contour curves around a singular point like crossing points, merging separated contours together which lies apart crossing the singular point is necessary. For this purp...

This paper proposes the reconstruction of craniofacial fracture using rational cubic Ball curve. The idea of choosing Ball curve is based on its robustness of computing efficiency over Bezier curve. The main steps are conversion of Digital Imaging and Communications in Medicine (Dicom) images to binary images, boundary extraction and corner point detection, Ball curve fitting with genetic algor...

A cubic spline regression model was used to fit the experimental open-circuit potential ~OCP! curves of two intercalation electrodes of a lithium-ion battery. All the details of an OCP curve were accurately predicted by the resulting model. The number of regression intervals used to fit an OCP curve was determined in a way such that in each regression interval the OCP exhibits a profile predict...

An automatic algorithm for fairing B-spline curves of general order is presented. This work was motivated by a method of Farin and Sapidis about fairing planar cubic B-spline curves by subsequently removing and reinserting knots. Instead our new algorithm is based on the idea of subsequently changing one control point of a given B-spline curve so that the new curve minimizes the integral of the...

In this paper, a classical problem of the construction of a cubic G1 continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. They are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally and...

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...

In this paper, a classical problem of the construction of a cubic G1 continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. They are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally and...

In this paper, a classical problem of the construction of a cubic Hermite G1 continuous spline curve is considered. The only data given are interpolation points, while tangent directions are unknown. They are constructed in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is regular, cusp-, loopand fold-free. Even more, it...