spline

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spline

[splīn]
(design engineering)
One of a number of equally spaced keys cut integral with a shaft, or similarly, keyways in a hubbed part; the mated pair permits the transmission of rotation or translatory motion along the axis of the shaft.
(engineering)
A strip of wood, metal, or plastic.
(graphic arts)
A flexible strip used in drawing curves.
(mathematics)
A function used to approximate a specified function on an interval, consisting of pieces which are defined uniquely on a set of subintervals, usually as polynomials or some other simple form, and which match up with each other and the prescribed function at the end points of the subintervals with a sufficiently high degree of accuracy.

Spline

A thin flat piece of wood used between two pieces of heavy subflooring, taking the place of a tongue-and-groove joint; also used as a means of stiffening a miter joint.

spline, false tongue, feather, slip feather, slip tongue

spline, 2
spline, 1
1. A long thin strip of wood or metal which is inserted in a slot formed by two members, each of which is grooved and butted against the other.
2. In a suspended acoustical ceiling, a strip of metal or hard fiber inserted in the slot between adjacent acoustical tiles which butt against each other, forming a concealed mechanical joint.

spline

In computer graphics, a smooth curve that runs through a series of given points. The term is often used to refer to any curve, because long before computers, a spline was a flat, pliable strip of wood or metal that was bent into a desired shape for drawing curves on paper. See Bezier and B-spline.
References in periodicals archive ?
The time series on the TRs starting from daytime and nighttime through the monitoring period are shown in Figure 16A and B, respectively, on which the spline curves interpolated with the loess function are superimposed.
Robust and efficient computation of the closest point on a spline curve. In Proceedings of the 5th International Conference on Curves and Surfaces, pages 397-406, 2002.
The other method is using trajectory tracking guidance, which takes aerodynamic influence and system uncertainty as disturbance factors to track online generated spline curves. The tracking control law can be described as
Figure 2 shows the Ferguson curves with different parameters, where the solid line is the standard Ferguson spline curve with [[lambda].sub.i] = [[mu].sub.i] = 0, the parameters [[lambda].sub.i] = 2, [[mu].sub.i] = -2 are for the dot-dash line, and [[lambda].sub.i] = -2, [[mu].sub.i] = 2 are for dashed line.
The spline curves [c.sub.i] parallel to the OXZ plane will be transversal sections, and the curves [[gamma].sub.i] parallel to the OYZ plane, longitudinal sections, (Figs.
As with [PM.sub.10], the spline curves are roughly linear, consistent with the absence of a threshold.
We mentioned the use of spline curves (B-spline) without mentioning the definition and their usage; thereof, curve splines such are interpolation curves controlled by points which are respect the condition and continuity of the curve.
These splines are used to define trigonometric spline curves. As special cases, the author also introduces a class of cubic trigonometric polynomial basis functions used to construct trigonometric Beezier curves.
It can be seen that the spline curves preserve the positive shape of the data well and they all achieve [C.sup.1] continuity.
[13]constructed shape preserving quartic trigonometric interpolation spline curves with shape parameters.
(1999) considered the cable as cubic spline curve in nine node Lagrangean element.