Projective transformations of the parameter of a Bernstein-Bézier curve
ACM Transactions on Graphics (TOG)
Projective geometry and its applications to computer graphics
Projective geometry and its applications to computer graphics
The sphere as a rational Be´ier surface
Computer Aided Geometric Design
Infinite Control Points-A Method for Representing Surfaces of Revolution Using Boundary Data
IEEE Computer Graphics and Applications
Curve and surface constructions using rational B-splines
Computer-Aided Design
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Faster Plots by Fan Data Compression
IEEE Computer Graphics and Applications
Computer-aided design applications of the rational b-spline approximation form.
Computer-aided design applications of the rational b-spline approximation form.
IEEE Computer Graphics and Applications
Accurate Parametrization of Conics by NURBS
IEEE Computer Graphics and Applications
A rational quartic Bézier representation for conics
Computer Aided Geometric Design
Approximating Surfaces of Revolution by Nonrational B-Splines
IEEE Computer Graphics and Applications
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves
Computer Aided Geometric Design
Representing circles with five control points
Computer Aided Geometric Design
Characterization and construction of helical polynomial space curves
Journal of Computational and Applied Mathematics
Optimal parameterization of rational quadratic curves
Computer Aided Geometric Design
A projective invariant generalization of the de Casteljau algorithm
Computer-Aided Design
Conversion of dupin cyclide patches into rational biquadratic bézier form
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
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The article was motivated by J. Blinn's column on the many ways to draw a circle (see ibid., vol.7, no.8, p.39-44, 1987). The authors have found several other ways to represent the circle as a nonuniform rational B-spline curve, which they present. Square-based methods, infinite control points, triangle-based methods, general circular arcs and rational cubic circles are some of the methods and types of circle discussed.