A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Curvature continuous curves and surfaces
Computer Aided Geometric Design
Geometric continuity with interpolating Be´zier curves
Proceedings of Graphics Interface '85 on Computer-generated images: the state of the art
A new local basis for designing with tensioned splines
ACM Transactions on Graphics (TOG)
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
ACM Transactions on Graphics (TOG)
Computer graphics and geometric modeling using Beta-splines
Computer graphics and geometric modeling using Beta-splines
ACM Transactions on Graphics (TOG)
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Local Control of Bias and Tension in Beta-splines
ACM Transactions on Graphics (TOG)
Geometric Continuity of Parametric Curves: Three Equivalent Characterizations
IEEE Computer Graphics and Applications
An Adaptive Subdivision Method With Crack Prevention for Rendering
An Adaptive Subdivision Method With Crack Prevention for Rendering
Geometric Continuity of Parametric Curves
Geometric Continuity of Parametric Curves
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
An intelligent approach to discrete sampling of parametric curves
SAC '93 Proceedings of the 1993 ACM/SIGAPP symposium on Applied computing: states of the art and practice
Polar forms for geometrically continuous spline curves of arbitrary degree
ACM Transactions on Graphics (TOG)
Geometric Continuity of Parametric Curves: Three Equivalent Characterizations
IEEE Computer Graphics and Applications
Rational Beta-Splines for Representing Curves and Surfaces
IEEE Computer Graphics and Applications
An analytical continuous-curvature path-smoothing algorithm
IEEE Transactions on Robotics
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Some observations are made concerning the source and nature of shape parameters. It is then described how Bezier curve segments can be stitched together with G/sup 1/ or G/sup 2/ continuity, using geometric constructions. These constructions lead to the development of geometric constructions for quadratic G/sup 1/ and cubic G/sup 2/ Beta-splines. A geometrically continuous subclass of Catmull-Rom splines based on geometric continuity and possessing shape parameters is discussed.