compmonks
compmonks

Reputation: 657

project spherical coordinates into cube python

Given a sphere radius of 1 and center at (0,0,0,), I have a list of xyz points in spherical coordinates of the form:

[-0.31828382 -0.6678262   0.67283251] # between -1 and 1

what would be the way to get their projected coordinates on a containing cube of same size?

Upvotes: 0

Views: 403

Answers (1)

Prune
Prune

Reputation: 77837

You need to project this vector until one of the components first intercepts the cube boundary. Since your boundaries are -1 and +1, this is simple.

The component with the largest magnitude is the third one, 0.672... Divide each component by that magnitude, and you have your interception point:

[-0.31828382, -0.6678262, 0.67283251]
[-0.47305060, -0.9925594, 1.0]

Can you take it from there?

Upvotes: 1

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