Euclidean Distancein a Rectangular Framework

• The Euclidean distance in a rectangular space is given by

D = ? (xa - xb)2 + (ya- yb) 2 +(za - zb) 2.

• A straight line is the minimum distance path between a and b.

• The variables are linearly related by the parametric equations of a line.

• The equation of the line segment from a to b is given by

x = xa + (x - xb) µ

y = ya + (y - yb) µ

z = za + (z - zb) µ where the parameter µ is in [0 , 1].

Euclidean Distance in a Rectangular Framework