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SplineFunction

As of Version 7.0, some of the functionality of the Splines Package is now built into the Wolfram Language kernel. »

SplineFunction[type,domain,internal]

represents a spline function created by the SplineFit function parametrizing a curve with the parameter in the specified domain. When given a parameter value as an argument it returns the corresponding point on the curve.

Details and Options

  • To use SplineFunction, you first need to load the Splines Package using Needs["Splines`"].
  • The SplineFunction object generated with SplineFit[{pt1,pt2,…},type] is parametrized such that a parameter value of 0 corresponds to pt1, 1 corresponds to pt2, etc.
  • Supported types are Cubic, Bezier and CompositeBezier.

Examples

Basic Examples  (1)Summary of the most common use cases

In[1]:=1
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https://wolfram.com/xid/0dcmds2ieb4kglm6-lj2i51

Fit a Bézier spline to a set of four points:

In[2]:=2
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https://wolfram.com/xid/0dcmds2ieb4kglm6-4qkazu
Out[2]=2

The endpoints of the SplineFunction correspond to the original points:

In[3]:=3
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https://wolfram.com/xid/0dcmds2ieb4kglm6-lkk4mg
Out[3]=3
Wolfram Research (2008), SplineFunction, Wolfram Language function, https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.
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Wolfram Research (2008), SplineFunction, Wolfram Language function, https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.

Text

Wolfram Research (2008), SplineFunction, Wolfram Language function, https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.

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Wolfram Research (2008), SplineFunction, Wolfram Language function, https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.

CMS

Wolfram Language. 2008. "SplineFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.

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Wolfram Language. 2008. "SplineFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Splines/ref/SplineFunction.html.

APA

Wolfram Language. (2008). SplineFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Splines/ref/SplineFunction.html

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Wolfram Language. (2008). SplineFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Splines/ref/SplineFunction.html

BibTeX

@misc{reference.wolfram_2025_splinefunction, author="Wolfram Research", title="{SplineFunction}", year="2008", howpublished="\url{https://reference.wolfram.com/language/Splines/ref/SplineFunction.html}", note=[Accessed: 04-April-2025 ]}

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@misc{reference.wolfram_2025_splinefunction, author="Wolfram Research", title="{SplineFunction}", year="2008", howpublished="\url{https://reference.wolfram.com/language/Splines/ref/SplineFunction.html}", note=[Accessed: 04-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_splinefunction, organization={Wolfram Research}, title={SplineFunction}, year={2008}, url={https://reference.wolfram.com/language/Splines/ref/SplineFunction.html}, note=[Accessed: 04-April-2025 ]}

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@online{reference.wolfram_2025_splinefunction, organization={Wolfram Research}, title={SplineFunction}, year={2008}, url={https://reference.wolfram.com/language/Splines/ref/SplineFunction.html}, note=[Accessed: 04-April-2025 ]}