I am attempting to parametrically layout points along an ellipse in 3D space by dividing a quadrant into equally spaced radial lines from an ellipse center. I have reduced the problem to this formula:
'b' = the ellipse semi-major axis, 'h' = the semi-minor axis, and 'm' = the tangent of the angle of the radial line. Can someone show me how to reduce this formula to be in terms of 'x'? Once this is solved, I believe I can translate the point locations into 3D space. Thanks.
(x^2/b^2) + ((mx)^2/h^2) - 1 = 0