Long flexible batten used to produce a fair curve through a set of points
This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Flat spline" – news · newspapers · books · scholar · JSTOR(February 2012) (Learn how and when to remove this message)
A spline
A spline consists of a long strip fixed in position at a number of points whose tension creates a smooth curve passing through those points, for the purpose of transferring that curve to another material.[1]
Before computers were used for creating engineering designs, drafting tools were employed by designers drawing by hand.[2] To draw curves, especially for shipbuilding, draftsmen often used long, thin, flexible strips of wood, plastic, or metal called splines (or laths, not to be confused with lathes).[1] The splines were held in place with lead weights (called ducks because of their duck-like shape). The elasticity of the spline material combined with the constraint of the control points, or knots, would cause the strip to take the shape that minimized the energy required for bending it between the fixed points, this being the smoothest possible shape.[3]
One can recreate an original draftsman's spline device with weights and a length of thin plastic or wood, flexible to bend enough without breaking. Crosses are marked on the paper to designate the knots or control points. The spline is placed on the drafting paper, and weights are attached to the shaft near each knot so that the spline passes through each one. Once adjusted to the satisfaction of the drafter, a line may be traced along the shaft, creating a template for a smooth curve.[1][3]
^ abcStephens, William Picard (1889). Canoe and Boat Building: A Complete Manual for Amateurs. Forest and Stream Publishing Company. ISBN 1360838279.
^de Boor, Carl. "A draftman's [sic] spline". University of Wisconsin–Madison. Retrieved 2012-02-24.
^ abNewsam, G. N. (1991). "Some topical variational geometry problems in computer graphics". Proceedings of the Centre for Mathematics and Its Applications. 26. Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University: 181.
A spline consists of a long strip fixed in position at a number of points whose tension creates a smooth curve passing through those points, for the purpose...
smoothing Smoothing spline, a method of smoothing using a spline function Spline (mechanical), a mating feature for rotating elements Flatspline, a device to...
using French curves to draw neckline, sleeve, bust and waist variations. Flatspline – Long flexible batten used to produce a fair curve through a set of...
screw drive, also known as RIBE, is spline-shaped with rounded ends in the fastener head. The tool has six flat teeth at equal spacing; the sizes are...
Part I of his Essay on the Development of Christian Doctrine (1845). Flatspline – Long flexible batten used to produce a fair curve through a set of...
using cubic Hermite spline with the tangents m i {\displaystyle m_{i}} modified to ensure the monotonicity of the resulting Hermite spline. An algorithm is...
drawing smooth curves in manual drafting are the use of French curves and flatsplines (flexible curves). A French curve is a drawing aid with many different...
gear cutting, cutting splines, and cutting sprockets using a hobbing machine, a specialized milling machine. The teeth or splines of the gear are progressively...
Truvativ's Power Spline interface. It is a 12-spline spindle proprietary to Truvativ offered as a lower cost alternative to other spline designs. It is...
variations of a splined miter joint, one where the spline is long and runs the length of the mating surfaces and another where the spline is perpendicular...
The design of tuner lug nuts can range from bit style to multisided or spline drive, and are sometimes lightweight for performance purposes. Another variation...
Phillips styles. Torx is one such pattern that has become widespread. It is a spline tip with a corresponding recess in the screw head. The main cause of this...
function, either by windowing or by giving a spline approximation, either by cubics or higher order splines. In the case of windowed sinc filters, the frequency...
sample the appropriate normalized B-spline basis functions instead of convolving discrete-time windows. A kth-order B-spline basis function is a piece-wise...
surfaces together M-spline — a non-negative spline I-spline — a monotone spline, defined in terms of M-splines Smoothing spline — a spline fitted smoothly...
either a 21-spline or a 23-spline output shaft. Transmissions coupled to four-cylinder engines typically used 21-spline output shafts. The 23-spline manual...
history-independent solver, history-dependent solver, limb solver, and spline IK solver. These powerful solvers reduce the time it takes to create high-quality...
(three-, four-, six-, or eight-sided) or splined outer surface, which passes through the matching polygonal or splined kelly (mating) bushing and rotary table...
Global Information
