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Hermite spline

 

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Hermite spline



 
 
In the mathematical
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
 subfield of numerical analysis
Numerical analysis

Numerical analysis is the study of algorithms for the problems of continuous mathematics .One of the earliest mathematical writings is the Babylonian tablet YBC 7289, which gives a sexagesimal numerical approximation of , the length of the diagonal in a unit square....
, a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form.








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In the mathematical
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
 subfield of numerical analysis
Numerical analysis

Numerical analysis is the study of algorithms for the problems of continuous mathematics .One of the earliest mathematical writings is the Babylonian tablet YBC 7289, which gives a sexagesimal numerical approximation of , the length of the diagonal in a unit square....
, a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form.

See also

  • Cubic Hermite spline
    Cubic Hermite spline

    In the mathematics subfield of numerical analysis a cubic Hermite spline , named in honor of Charles Hermite, is a third-degree spline with each polynomial of the spline in Hermite form....
  • Hermite polynomials
    Hermite polynomials

    In mathematics, the Hermite polynomials are a classical orthogonal polynomial polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; and in physics, where they give rise to the eigenstates of the quantum harmonic oscillator....
  • Hermite interpolation
    Hermite interpolation

    Hermite interpolation is a method closely related to the Newton polynomial method of interpolation in numerical analysis, that allows us to consider given derivatives at data points, as well as the data points themselves....