Parametric equation for 3D circle that's off-axis
I want to know the equation to draw a circle that's a bit tilted. Imagine a 3D circle that's parallel with the Y axis. Now I want to take that circle and have its center cross through the origin still, but I want it to be θ degrees titled from the Y Axis.
I'm using the following equations right now:
x = r * sin(u) * cos(v)
y = r * sin(v)
z = r * cos(u) * cos(v)
where r = radius, u ranges over full circle, v ranges from -pi/2 to pi/2
Re: Parametric equation for 3D circle that's off-axis
You need to transform your sphere's orientation via multiplication by a direction cosine matrix. Any intro text to mechanics or aero should have a good description. This link also has a decent description: http://www.ece.unb.ca/COBRA/Resource...r%20Angles.pdf
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