# RamerDouglasPeucker

**function** RamerDouglasPeucker(**const** path: TPathD; epsilon: double): TPathD; **overload;**

**function** RamerDouglasPeucker(**const** path: TPathsD; epsilon: double): TPathsD; **overload;**

A line simplification algorithm that removes extraneous vertices.

The algorithm recursively finds the vertex between line endpoints that's furthest from the virtual segment joining these endpoints, If this vertex is within a predefined (epsilon) distance, then all vertices between endpoints will be removed. Otherwise the line is divided into two at this vertex and the process is repeated. See **Wikipedia**

Simplification is especially useful when vectorizing raster images and this function is demonstrated in the **VectorizeImage** example.

## See Also

SmoothToBezier, Vectorize

Copyright ©2019 Angus Johnson - Image32 ver. 4.0 - Documentation last updated on 20-January-2022