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spline
spline In its simplest form a spline function (of degree n), s(x), is a piecewise polynomial on [x1,xN] that is (n – 1) times continuously differentiable, i.e. s(x) ≡ polynomial of degree n xi←x←xi+1, i = 1,2,…,N–1
These polynomial “pieces” are all matched up at points (called knots): x1 < x2 < … < xN in the interior of the range, so that the resulting function s(x) is smooth. The idea can be extended to functions of more than one variable. Cubic splines – spline curves of degree 3 – provide a useful means of approximating data to moderate accuracy. Splines are often the underlying approximations used in variational methods. See also B-spline. |
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JOHN DAINTITH. "spline." A Dictionary of Computing. 2004. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>. JOHN DAINTITH. "spline." A Dictionary of Computing. 2004. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O11-spline.html JOHN DAINTITH. "spline." A Dictionary of Computing. 2004. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O11-spline.html |
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spline
spline / splīn/ • n. 1. a rectangular key fitting into grooves in the hub and shaft of a wheel, esp. one formed integrally with the shaft that allows movement of the wheel on the shaft. ∎ a corresponding groove in a hub along which the key may slide. 2. a slat. ∎ a flexible wood or rubber strip used esp. in drawing large curves. 3. (also spline curve) Math. a continuous curve constructed so as to pass through a given set of points and have a certain number of continuous derivatives. • v. [tr.] secure (a part) by means of a spline. ∎ [usu. as adj.] (splined) fit with a spline: splined freewheels. |
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"spline." The Oxford Pocket Dictionary of Current English. 2009. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>. "spline." The Oxford Pocket Dictionary of Current English. 2009. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O999-spline.html "spline." The Oxford Pocket Dictionary of Current English. 2009. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O999-spline.html |
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spline
spline
•align, assign, benign, brine, chine, cline, combine, condign, confine, consign, dine, divine, dyne, enshrine, entwine, fine, frontline, hardline, interline, intertwine, kine, Klein, line, Main, malign, mine, moline, nine, on-line, opine, outshine, pine, Rhein, Rhine, shine, shrine, sign, sine, spine, spline, stein, Strine, swine, syne, thine, tine, trine, twine, Tyne, underline, undermine, vine, whine, wine
•Sabine • carbine • Holbein • woodbine
•concubine • columbine • turbine
•sardine • Aldine • muscadine
•celandine • anodyne • androgyne
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Cite this article
"spline." Oxford Dictionary of Rhymes. 2007. Encyclopedia.com. 27 May. 2012 <http://www.encyclopedia.com>. "spline." Oxford Dictionary of Rhymes. 2007. Encyclopedia.com. (May 27, 2012). http://www.encyclopedia.com/doc/1O233-spline.html "spline." Oxford Dictionary of Rhymes. 2007. Retrieved May 27, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O233-spline.html |
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