Bray Curtis Distance

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Bray Curtis distance sometimes is also called Sorensen distance is a normalization method that common used in botany, ecology and environmental sicence field. It views the space as grid similar to the city block distance. The Bray curtis distance has a nice property that if all coordinates are postive, its value is between zero and one. Zero bray curtis represent exact similar coordinate. If both objects are in the zero coordinates, the Bray curtis distance is undefined. The normalization is done using absolute difference divided by the summation.

Formula: , or equivalent formula

For example:

Point A has coordinate (0, 3, 4, 5) and point B has coordinate (7, 6, 3, -1).

The Bray Curtis distance or Sorensen distance between point A and B is

See also: Bray Curtis normalization, Canberra distance, City Block Distance

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Preferable reference for this tutorial is

Teknomo, Kardi. Similarity Measurement. http:\\people.revoledu.com\kardi\ tutorial\Similarity\