Distance Metric different units

Asked Apr 19 '20 at 14:18

Active Apr 20 '20 at 20:46

Viewed 108 times

I am trying to cluster a radar database. The observations of a radar are given in Azimuth angle and range. For processing speed reasons I do not want to transform this polar data into a Cartesian system.

A normal Euclidean distance metric needs the same unit in x- and y-direction. I need to find the distance in azimuth direction and in range direction. Basically, you can imagine the Euclidean distance metric working in a circle and my solution should work in an ellipse.

A simple solution to the problem is in the attached image the red example. Sketech of ellipse radius I take from a centre point the distance in both directions.

I am searching for a solution that is more advanced like the blue example where I have all the points in an elliptical search.

EDIT:

I asked the same question a bit different formulated in the mathematics forum, maybe that helps you to understand my problem better. https://math.stackexchange.com/questions/3635438/epsilon-neighbourhood-for-polar-data

edited Apr 20 '20 at 20:46

asked Apr 19 '20 at 14:18

Metz

This is not about metrics. – Apr 19 '20 at 16:30
Ok, can you tell me what it is about, then I can adjust my question. – Metz Apr 19 '20 at 16:37
Just hover over the tag or click on it.. – Apr 19 '20 at 16:38
Why is that tag wrong? The wiki definition of metric: In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set. – Metz Apr 19 '20 at 22:40
Hover over the tag and read it! – Apr 20 '20 at 01:19

Distance Metric different units

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