A curve with single-signed, monotonically increasing or decreasing curvatures is referred to as a planar spiral. G2 Hermite data are spiral for which only interpolation by possible. In this study, we design segmented spirals geometrically interpolate arbitrary C-shaped data. To separate the into two three sets, add one new points, related tangent vectors and curvatures. We provide different app...

This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circular splines and Pythagorean hodograph (PH) splines, respectively. The circular splines are obtained using a novel variant of biarc interpolation, while the PH splines are constructed via Hermite interpolation of C boun...

In this paper we propose a new kind of Hermite interpolation on arbitrary domains, matching derivative data of arbitrary order on the boundary. The basic idea stems from an interpretation of mean value interpolation as the pointwise minimization of a radial energy function involving first derivatives of linear polynomials. We generalize this and minimize over derivatives of polynomials of arbit...

This is an intuitive description of some of the parametric spline formulations that are most prevalent in computer graphics. The intent is to provide a "high-level". descriptive presentation rather than a detailed, rigorous one. The specific teChniques discussed are piecewise Hermite interpolation. spline interpolation. B6zier curves. Bsplines. Beta-splines. and rational splines. The topics of ...