Polynomial Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial parametric curves; they are distinguished by having a polynomial arc length function and rational offsets (parallel curves). Many related references can be found in the article by Farouki and Neff on C1 Hermite interpolation with PH quintics. We extend the C1 Hermite interpolation scheme by taking additional c...

The purpose of this study was to establish a new statistical method for the analysis of noisy mandibular helical axis parameters, especially the position vector of the finite helical axis (FHA). The subjects were children with anterior cross-bite who had received orthodontic treatment. Maximum mouth-opening was measured by means of an opto-electronic motion analysis system. These movements were...

B-spline curves and their rational generalizations (NURBS curves) play central role and are widely used in computer aided design today. A B-spline curve is uniquely defined by its degree, control points and knot values, while in terms of NURBS curves the weight vector has to be specified in addition. The modification of a curve is also an essential problem in CAD systems, hence numerous methods...

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...

Receiver operating characteristics (ROC) curves have the property that they start at (0,l) and end at (1,O) and are monotonically decreasing. Furthermore, a parametric representation for the curves is more natural, since ROCs need not be single valued functions: they can start with infinite slope. In this article we show how to fit parametric splines and polynomials to ROC data with the end-poi...

We present an algorithm for bounding a piece of strip-shaped point cloud without self-intersections with an interval B-spline curve. Firstly we calculate the boundary points of the point cloud, and then bound it with an interval B-spline curve of which two pieces of boundary curves interpolate these boundary points. For the algorithm there are important applications in product shape verifying m...