L Auslander, E Feig, et al.
Advances in Applied Mathematics
We say that a curve has geometric continuity if its curvatures and Frenet frame are continuous. In this paper we introduce spaces of piecewise polynomials which can be used to model space curves which have geometric continuity. We show that the basic theoretical properties of ordinary spline functions also hold for these spaces. These results extend and unify recent work on Beta-splines and Nu-splines which are used as a design tool in computer-aided geometric design of free form curves and surfaces. © 1988 Springer-Verlag.
L Auslander, E Feig, et al.
Advances in Applied Mathematics
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BACUS Symposium on Photomask Technology and Management 1991
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ICML 2023