Scalar- and planar-valued curve fitting using splines under tension
Communications of the ACM
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
A Study of the Parametric Uniform B-spline Curve and Surface
A Study of the Parametric Uniform B-spline Curve and Surface
Varying the Betas in Beta-splines
Varying the Betas in Beta-splines
Applications of b-spline approximation to geometric problems of computer-aided design.
Applications of b-spline approximation to geometric problems of computer-aided design.
Shape operators for computer-aided geometric design.
Shape operators for computer-aided geometric design.
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
ACM Transactions on Graphics (TOG)
Parametric keyframe interpolation incorporating kinetic adjustment and phrasing control
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Interpolating splines with local tension, continuity, and bias control
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Computer-Aided Design
Computer graphics for water modeling and rendering: a survey
Future Generation Computer Systems
Partial shape-preserving splines
Computer-Aided Design
A locally controllable spline with tension for interactive curve design
Computer Aided Geometric Design
Interactive localized liquid motion editing
ACM Transactions on Graphics (TOG)
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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.