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cubic spline method

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  • Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …   Wikipedia

  • Smoothing spline — The smoothing spline is a method of smoothing, or fitting a smooth curve to a set of noisy observations.DefinitionLet (x i,Y i); i=1,dots,n be a sequence of observations, modeled by the relation E(Y i) = mu(x i). The smoothing spline estimate… …   Wikipedia

  • Monotone cubic interpolation — In the mathematical subfield of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not… …   Wikipedia

  • Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …   Wikipedia

  • Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …   Wikipedia

  • Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …   Wikipedia

  • Smoothed particle hydrodynamics — (SPH) is a computational method used for simulating fluid flows. It has been used in many fields of research, including astrophysics, ballistics, vulcanology and oceanology. It is a mesh free Lagrangian method (where the co ordinates move with… …   Wikipedia

  • maximum forward rate smoothing — An alternative yield curve smoothing technique. The most accurate yield curve smoothing method for forward rates. The yield curve with the smoothest possible forward rate function, consistent with observable data, is closely related to but… …   Financial and business terms

  • Hilbert-Huang transform — The Hilbert Huang Transform (HHT) is a way to decompose a signal into so called intrinsic mode functions (IMF), and obtain instantaneous frequency data. It is designed to work well for data that are nonstationary and nonlinear. In contrast to… …   Wikipedia

  • Contour advection — simulation Contour advection is a Lagrangian method of simulating the evolution of one or more contours or isolines of a tracer as it is stirred by a moving fluid. Consider a blob of dye injected into a river or stream: to first order it could be …   Wikipedia

  • Tortuosity — is a property of curve being (twisted; having many turns). There have been several attempts to quantify this property.Tortuosity in 2 DSubjective estimation (sometimes aided by optometric grading scales [Richard M. Pearson. Optometric Grading… …   Wikipedia

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