Abstract
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.
Original language | English |
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Pages (from-to) | 319-337 |
Number of pages | 19 |
Journal | Numerische Mathematik |
Volume | 54 |
Issue number | 3 |
DOIs | |
State | Published - May 1989 |
Keywords
- Subject Classifications: AMS(MOS): 65D07, CR: G 1.2