Based on the matrix perturbation technique. a fast-fitting algorithm using uniform cubic B-spline curves is presented. Our algorithm entails much less floating-point operations when compared with Gaussian elimination method. In addition, our result can be applied to solve the closed cubic B-spline curve-fitting problem. Experimental results are included for a practical version. These experiment...

A rational cubic trigonometric spline with two shape parameters which play an important role in manipulating the shape of the curve is described in this paper. Its algebraic analogue with shape parameters has been discussed. Spline is presented both in interpolatory and rational B-spline form and the properties of resulting Bsplines are also studied. Keywords— Computer aided geometric design, r...

This paper presents an alternative approach for removing striping patterns of Hyperion hyperspectral imagery. In this study, a cubic spline-based curve-fitting algorithm was used to estimate gray values of striping pixels in an image. The idea is to treat each line of a Hyperion image as a piece-wise spline curve in each spectral band. After identifying pixels affected by the striping noises, t...

A piecewise rational cubic spline [5] has been used to visualize the positive data in its natural form. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters in the description of a rational cubic have been constrained in such a way that they preserve the shape of the positive data in the view of positive curve. As far as visual smoothness is ...

PH curves; B-spline curves; Nodal points; CNC interpolators; Variable feedrate control; Contour error. Abstract This paper presents a C2 Pythagorean-Hodograph (PH) spline curve interpolator for high speed contouring applications. With the knot vector and control points given, the C2 PH quintic spline curve is a ‘‘good’’ interpolant to the nodal points of the cubic B-spline curve, with the same ...

A piecewise rational cubic spline has been introduced to visualize the positive data in its natural form. It is attempted that the spline method preserves the shape of the data when it is positive. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters, in the description of the rational cubic, have been constrained in such a way that they cont...

We describe the structure and use of an interactive modeling and visualization tool used to help students understand various important concepts in curve and surface design. This paper describes those aspects of the tool related to NURBS curves, but Bezier and Hermite curves are also supported as are Bezier and B-Spline surfaces. The focus of this paper is almost exclusively on those features of...

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...

This paper presented the G1 cubic trigonometric spline function with three shape parameters that generate a constrained curve interpolates 2D data. The purpose of this research is to ensure generated passes through all data point yet satisfied cases line constraints given. are: must lie above Li below and lastly, between two lines Li,1 Li,2. A simpler theorem implemented involving roles paramet...

Abstract Bézier splines are widely available in various systems with the curves and surface designs. In general, the Bézier spline can be specified with the Bézier curve segments and a Bézier curve segment can be fitted to any number of control points. The number of control points determines the degree of the Bézier polynomial. This paper presents a method which determines control points for Bé...