## How does Douglas peucker algorithm work?

## What is the role of the parameter epsilon in Ramer Douglas peucker algorithm?

Ramer-Douglas-Peucker Algorithm, also known as Douglas–Peucker algorithm and iterative end-point fit algorithm, is a cartographic/line generalization algorithm. It basically **reduces the number of points in a curve/line without losing the shape of the curve/line**, based on some tolerance parameter 'epsilon' (ε).Sep 19, 2021

## What is line simplification?

Sometimes our lines and polygons are way too complicated for the purpose. To make things easier, we decide to simplify my polygon. ... Simplification means that **we want to express the same geometry, using fewer points**, but trying to preserve the original shape as much as we can.Apr 27, 2020

## Why line simplification is required?

Amazingly, simplification often **allows the elimination of 95% or more points while retaining sufficient detail for visualization**. For example, the GeoJSON file used to draw the continental United States above can be reduced from 531KB to 27KB with only minor visual changes.Jun 1, 2012

## How is line simplification carried out in GIS?

Simplification **removes extraneous bends and small intrusions and extrusions from a line without destroying its essential shape**. The Simplify Line tool uses one of two simplification algorithms, called point remove and bend simplify.

### Related questions

##### Related

### What is Ramer Douglas Peucker line simplification?

- Ramer-Douglas-Peucker line simplification. The Ramer–Douglas–Peucker algorithm is a line simplification algorithm for reducing the number of points used to define its shape.

##### Related

### How to simplify a piecewise linear curve using Douglas Peucker algorithm?

- Simplifying a piecewise linear curve with the Douglas–Peucker algorithm. The starting curve is an ordered set of points or lines and the distance dimension ε > 0. The algorithm recursively divides the line. Initially it is given all the points between the first and last point. It automatically marks the first and last point to be kept.

##### Related

### What is the purpose of the similarity algorithm?

- The purpose of the
**algorithm**is, given a curve composed of line segments (which is also called a Polyline in some contexts), to find a similar curve with fewer points. The**algorithm**defines 'dissimilar' based on the maximum distance between the original curve and the simplified curve (i.e., the Hausdorff distance between the curves).

##### Related

### How to make a point detection algorithm non-parametric?

- Like most line fitting / polygonal approximation / dominant point detection methods, it can be made non-parametric by using the error bound due to digitization / quantization as a termination condition. The
**algorithm**is used for the processing of vector graphics and cartographic generalization.