Affiliation:
1. University of California, Berkeley
2. University of Waterloo, Canada
Abstract
The Beta-spline introduced recently by Barsky is a generalization of the uniform cubic B-spline: parametric discontinuities are introduced in such a way as to preserve continuity of the unit tangent and curvature vectors at joints (
geometric continuity
) while providing bias and tension parameters, independent of the position of control vertices, by which the shape of a curve or surface can be manipulated. Using a restricted form of quintic Hermite interpolation, it is possible to allow distinct bias and tension parameters at each joint without destroying geometric continuity. This provides a new means of obtaining local control of bias and tension in piecewise polynomial curves and surfaces.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design,General Computer Science
Reference22 articles.
1. BARSKY B.A. Exponential and polynomial methods for applying tension to an interpolating spline curve. Computer Vision Graphic Image Processing 1983 to appear. BARSKY B.A. Exponential and polynomial methods for applying tension to an interpolating spline curve. Computer Vision Graphic Image Processing 1983 to appear.
2. BARSKY B.A. The Beta-spline: A curve and surface representation for computer graphics and computer aided geometric design. To be published. BARSKY B.A. The Beta-spline: A curve and surface representation for computer graphics and computer aided geometric design. To be published.
3. BARSKY B.A. Algorithms for the evaluation and perturbation of Beta-splines. To be published. BARSKY B.A. Algorithms for the evaluation and perturbation of Beta-splines. To be published.
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