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Splines and Spline Fitting Revisited
1996This paper presents a detailed summary of the properties and basic facts about spline spaces and their B-spline bases. Examination is made of the many different joint-continuity conditions. Geometric continuity constraints are of special interest, as they appear to satisfy visual needs of the human observers.
D. C. Vargas +3 more
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Computer-Aided Design, 1992
A circular spline is a \(C^ 1\) curve consisting of circular arcs which join at the knots \(P_ 1,\dots,P_ n\). The author considers the problem of interpolating a given point set (open or closed) in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\) by circular splines with knots at the interpolation points.
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A circular spline is a \(C^ 1\) curve consisting of circular arcs which join at the knots \(P_ 1,\dots,P_ n\). The author considers the problem of interpolating a given point set (open or closed) in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\) by circular splines with knots at the interpolation points.
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Spline Curves and Spline Surfaces
1994In the previous chapter, we used cubic parabolas (Equation 22) to interpolate the line of intersection P1P2 of the graph Γ with a vertical plane ψ. Analogously, a patch Ψ on Γ, which is roughly approximated by two triangles, can be replaced by a cubic graph that consists of all the cubic parabolas we get when we vary the plane ψ. Such a graph is called
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Zweidimensionale Splines, Oberflächensplines, Bézier-Splines, B-Splines
2010Gisela Engeln-Müllges +2 more
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Isogeometric analysis using T-splines
Computer Methods in Applied Mechanics and Engineering, 2010Y Bazilevs, T J R Hughes, J A Evans
exaly
Selecting the Number of Knots for Penalized Splines
Journal of Computational and Graphical Statistics, 2002David Ruppert
exaly
Isogeometric analysis using LR B-splines
Computer Methods in Applied Mechanics and Engineering, 2014Tor Dokken +2 more
exaly
Fast B-spline transforms for continuous image representation and interpolation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1991Michael A. Unser, M Eden
exaly