2D Polar to 2D Cartesian transformation

Introduction

The transformation of polar coordinates (α, d) into Cartesian map coordinates (x, y) is done when field measurements, i.e. angular and distance measurements, are transformed into map coordinates.

The equations for this transformation are (Equation 1 and 2):

x%20%3D%20d%5Csin%20%5Calpha%5C
Equation 1

 

 

y%20%3D%20d%5Ccos%20%5Calpha%5C
Equation 2

The inverse equations are (Equation 3 and 4):

%5Calpha%20%3D%20%5Carctan%5Cleft(%5Cfrac%7Bx%7D%7By%7D%5Cright)%5C
Equation 3

 

 

 

 

d%5E2%20%3D%20x%5E2%2B%20y%5E2%5C
Equation 4

 

Prior knowledge

Outgoing relations

Incoming relations