RipleyRassonRegion
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RipleyRassonRegion
Details

- RipleyRassonRegion is typically used to automatically derive an observation region from a point collection when no such region is provided. It is strongly suggested to obtain the correct observation region in the original data collection if at all possible, in order to get correct spatial statistics.
- RipleyRassonRegion is a centrally rescaled version of the convex hull of the set of points, effectively given by ScalingTransform[{s,s,…},c], where c is the region centroid of the convex hull.
- For geographic regions, the corresponding operation is done on the projection.
- The resulting region is an unbiased estimator of the true region under the assumption that the point collection was generated by a PoissonPointProcess. It may not be a very representative observation region for clustered and other forms of point collections.
- The point data pdata can have the following forms:
-
{p1,p2,…} points pi GeoPosition[…],GeoPositionXYZ[…],… geographic points


Examples
open allclose allBasic Examples (2)Summary of the most common use cases
Compute RipleyRassonRegion from random points in a unit disk:

https://wolfram.com/xid/0fokaytqukazwiz0tq6-mdrwj0

https://wolfram.com/xid/0fokaytqukazwiz0tq6-yqppeq


https://wolfram.com/xid/0fokaytqukazwiz0tq6-baq590

Compute RipleyRassonRegion from random locations on the surface of the Earth:

https://wolfram.com/xid/0fokaytqukazwiz0tq6-fzzvn2

https://wolfram.com/xid/0fokaytqukazwiz0tq6-lap7vi


https://wolfram.com/xid/0fokaytqukazwiz0tq6-mu2t4w

Possible Issues (1)Common pitfalls and unexpected behavior
Computation of RipleyRassonRegion for a point configuration of InhomogeneousPoissonPointProcess will depend strongly on a given realization:

https://wolfram.com/xid/0fokaytqukazwiz0tq6-wrl8v9

https://wolfram.com/xid/0fokaytqukazwiz0tq6-q2l3l9

https://wolfram.com/xid/0fokaytqukazwiz0tq6-w1fje8

https://wolfram.com/xid/0fokaytqukazwiz0tq6-2ll423

https://wolfram.com/xid/0fokaytqukazwiz0tq6-r95wry

Compare Ripley–Rasson region estimates:

https://wolfram.com/xid/0fokaytqukazwiz0tq6-btaznp

https://wolfram.com/xid/0fokaytqukazwiz0tq6-i46x2r

Wolfram Research (2020), RipleyRassonRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/RipleyRassonRegion.html.
Text
Wolfram Research (2020), RipleyRassonRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/RipleyRassonRegion.html.
Wolfram Research (2020), RipleyRassonRegion, Wolfram Language function, https://reference.wolfram.com/language/ref/RipleyRassonRegion.html.
CMS
Wolfram Language. 2020. "RipleyRassonRegion." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RipleyRassonRegion.html.
Wolfram Language. 2020. "RipleyRassonRegion." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RipleyRassonRegion.html.
APA
Wolfram Language. (2020). RipleyRassonRegion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RipleyRassonRegion.html
Wolfram Language. (2020). RipleyRassonRegion. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RipleyRassonRegion.html
BibTeX
@misc{reference.wolfram_2025_ripleyrassonregion, author="Wolfram Research", title="{RipleyRassonRegion}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/RipleyRassonRegion.html}", note=[Accessed: 08-June-2025
]}
BibLaTeX
@online{reference.wolfram_2025_ripleyrassonregion, organization={Wolfram Research}, title={RipleyRassonRegion}, year={2020}, url={https://reference.wolfram.com/language/ref/RipleyRassonRegion.html}, note=[Accessed: 08-June-2025
]}