Euclidean Distance

Euclidean distance
[Euclidean geometry] The straight-line distance between two points on a plane. Euclidean distance, or distance "as the crow flies," can be calculated using the Pythagorean theorem.

Euclidean distance and cost distance are two main ways to perform distance analysis in ArcGIS Spatial Analyst. The Euclidean distance functions measure straight-line distance from each cell to the closest source.

The Euclidean distance (also called distance as the crow flies or 2-norm distance).

The Euclidean distance between two points of the plane with Cartesian coordinates (x1,y1) and (x2,y2) is
This is the Cartesian version of Pythagoras' theorem. In three-dimensional space, the distance between points (x1,y1,z1) and (x2,y2,z2) is ...

If the D matrix is created for a set of point features, then the distances are Euclidean distances between pairs of points.

There are three categories of spatial modeling functions that can be applied to geographic data objects within a GIS: (1) geometric models, such as calculating the Euclidean distance between objects, generating buffers, ...

r.buffer measures distances from center of cell to center of cell using Euclidean distance measure for planimetric locations (like UTM) and using ellipsoidal geodesic distance measure for latitude/longitude locations.

From the Spatial Analyst Tools menu, select Distance > Euclidean Distance. Use a cell size of 30.
Do not save this file into Geodatabase or it may cause some errors.

To estimate the location, we use an algorithm called "nearest neighbor in signal space" (NNSS), which computes in signal-strength space the Euclidean distance between the RSSI measurement and each fingerprint in the database RSSI.

See also: Location, GIS, Analysis, Model, Class