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PointDensityFunction
represents a function whose values give the density at a given location.
Details

- PointDensityFunction objects are produced by functions such as PointDensity, HistogramPointDensity and SmoothPointDensity with point data pdata.
- PointDensityFunction works like Function.
- PointDensityFunction[…][x] gives the value of the intensity at location x.
Examples
open allclose allBasic Examples (1)Summary of the most common use cases
Generate PointDensityFunction:

https://wolfram.com/xid/0c0p283livyb2-pncs4v

https://wolfram.com/xid/0c0p283livyb2-hjiyok

Compute the point density function:

https://wolfram.com/xid/0c0p283livyb2-1op0xp

Compute the value at a location:

https://wolfram.com/xid/0c0p283livyb2-vsuaf7


https://wolfram.com/xid/0c0p283livyb2-u1l2ll

Scope (3)Survey of the scope of standard use cases
Generate smooth PointDensityFunction:

https://wolfram.com/xid/0c0p283livyb2-ulxr3l

https://wolfram.com/xid/0c0p283livyb2-ecn8ox

Compute the point density function:

https://wolfram.com/xid/0c0p283livyb2-fpwevx

Compute the value at a location:

https://wolfram.com/xid/0c0p283livyb2-84rs6r


https://wolfram.com/xid/0c0p283livyb2-fhft50

Query PointDensityFunction for useful information:

https://wolfram.com/xid/0c0p283livyb2-pafypv

https://wolfram.com/xid/0c0p283livyb2-6k8pqh


https://wolfram.com/xid/0c0p283livyb2-es6r7z

Further properties are based on a DataDistribution:

https://wolfram.com/xid/0c0p283livyb2-onh5c6


https://wolfram.com/xid/0c0p283livyb2-0045yu

PointDensity properties:

https://wolfram.com/xid/0c0p283livyb2-bdrymo

https://wolfram.com/xid/0c0p283livyb2-p4q6a5


https://wolfram.com/xid/0c0p283livyb2-iqvi0y

HistogramPointDensity properties:

https://wolfram.com/xid/0c0p283livyb2-zlc8bn


https://wolfram.com/xid/0c0p283livyb2-ympg7l

Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.
Text
Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.
Wolfram Research (2020), PointDensityFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/PointDensityFunction.html.
CMS
Wolfram Language. 2020. "PointDensityFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PointDensityFunction.html.
Wolfram Language. 2020. "PointDensityFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PointDensityFunction.html.
APA
Wolfram Language. (2020). PointDensityFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PointDensityFunction.html
Wolfram Language. (2020). PointDensityFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PointDensityFunction.html
BibTeX
@misc{reference.wolfram_2025_pointdensityfunction, author="Wolfram Research", title="{PointDensityFunction}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/PointDensityFunction.html}", note=[Accessed: 26-March-2025
]}
BibLaTeX
@online{reference.wolfram_2025_pointdensityfunction, organization={Wolfram Research}, title={PointDensityFunction}, year={2020}, url={https://reference.wolfram.com/language/ref/PointDensityFunction.html}, note=[Accessed: 26-March-2025
]}