# filters.lof¶

The **Local Outlier Factor (LOF) filter** was introduced as a method
of determining the degree to which an object is an outlier. This filter
is an implementation of the method
described in [Breunig2000].

The filter creates three new dimensions, `KDistance`

,
`LocalReachabilityDistance`

and `LocalOutlierFactor`

, all of which are
double-precision floating values. The `KDistance`

dimension records the
Euclidean distance between a point and it’s k-th nearest neighbor (the number
of k neighbors is set with the minpts option). The
`LocalReachabilityDistance`

is the inverse of the mean
of all reachability distances for a neighborhood of points. This reachability
distance is defined as the max of the Euclidean distance to a neighboring point
and that neighbor’s own previously computed `KDistance`

. Finally, each point
has a `LocalOutlierFactor`

which is the mean of all
`LocalReachabilityDistance`

values for the neighborhood. In each case, the
neighborhood is the set of k nearest neighbors.

In practice, setting the minpts parameter appropriately and subsequently
filtering outliers based on the computed `LocalOutlierFactor`

can be
difficult. The authors present some work on establishing upper and lower bounds
on LOF values, and provide some guidelines on selecting minpts values, which
users of this filter should find instructive.

Note

To inspect the newly created, non-standard dimensions, be sure to write to an output format that can support arbitrary dimensions, such as BPF.

## Example¶

The sample pipeline below computes the LOF with a neighborhood of 20 neighbors,
followed by a range filter to crop out points whose `LocalOutlierFactor`

exceeds 1.2 before writing the output.

```
[
"input.las",
{
"type":"filters.lof",
"minpts":20
},
{
"type":"filters.range",
"limits":"LocalOutlierFactor[:1.2]"
},
"output.laz"
]
```

## Options¶

- minpts
The number of k nearest neighbors. [Default: 10]

- where
An expression that limits points passed to a filter. Points that don’t pass the expression skip the stage but are available to subsequent stages in a pipeline. [Default: no filtering]

- where_merge
A strategy for merging points skipped by a ‘where’ option when running in standard mode. If

`true`

, the skipped points are added to the first point view returned by the skipped filter. If`false`

, skipped points are placed in their own point view. If`auto`

, skipped points are merged into the returned point view provided that only one point view is returned and it has the same point count as it did when the filter was run. [Default:`auto`

]