Even initialization could have been avoided by simply declaring some arbitrary direction to be "south".

For the calculation of the point scale in an arbitrary direction see addendum.

The calculation of the point scale in an arbitrary direction is given below.

Project two images of an object into mutually perpendicular, arbitrary directions.

A more generalized form is used to describe a plane wave traveling in an arbitrary direction.

Around a corner point, the image intensity will change greatly when the window is shifted in an arbitrary direction.

It is a quite accidental and arbitrary direction of their general ability.

The projection of this vector onto an arbitrary direction is quantized.

This displacement is usually not limited to the local surface normal but can be given an arbitrary direction.

Parabolas can open up, down, left, right, or in some other arbitrary direction.