Single-valued curves in polar coordinates
Computer-Aided Design
Interpolation of curve data by blended generalized circles
Computer Aided Geometric Design
Harmonic rational Bézier curves, p-Be´zier curves and trigonometric polynomials
Computer Aided Geometric Design
Computer Aided Geometric Design - Special issue dedicated to Paul de Faget de Casteljau
Corner cutting algorithms associated with optimal shape preserving representations
Computer Aided Geometric Design
Generating curves and swept surfaces by blended circles
Computer Aided Geometric Design
IEEE Computer Graphics and Applications
An Interpolation Subspline Scheme Related to B-Spline Techniques
CGI '97 Proceedings of the 1997 Conference on Computer Graphics International
Geometric Hermite interpolation with circular precision
Computer-Aided Design
G2 Hermite interpolation with circular precision
Computer-Aided Design
Computer Aided Geometric Design
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We present a method for the interpolation of a given sequence of data points with C^n continuous trigonometric spline curves of order n+1 (n=1) that are produced by blending elliptical arcs. Ready to use explicit formulae for the control points of the interpolating arcs are also provided. Each interpolating arc depends on a global parameter @a@?(0,@p) that can be used for global shape modification. Associating non-negative weights with data points, rational trigonometric interpolating spline curves can be obtained, where weights can be used for local shape modification. The proposed interpolation scheme is a generalization of the Overhauser spline, and it includes a C^n Bezier spline interpolation method as the limiting case @a-0.