# 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 other method is using trajectory tracking guidance, which takes aerodynamic influence and system uncertainty as disturbance factors to track online generated spline curves.
f]) can be further introduced to utilize (11b) quartic spline curve equation to solve the problem
0]) can be further added to obtain the reference trajectory and ensure the continuity of control command by solving (11c), which is a quintic spline curve equation
One is prediction guidance, which constrains the current and terminal state through spline curve in each guidance period.
The closed-loop guidance based on spline curve is provided above.
i], grade 3, connected and contained between these points, they will form a cubic plane spline curve [c.
The final form of the equation of the arc of curve belonging to the plane spline curve [c.
These splines are used to define trigonometric spline curves.
Han, "A class of general quartic spline curves with shape parameters," Computer Aided Geometric Design, vol.
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.

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