How to draw an aspheric curve

How to draw an aspheric curve
How to draw an aspheric curve
Sag equation
𝑧=
π‘₯2
𝑅 + 𝑅2 βˆ’ (1 + π‘˜)π‘₯ 2
R : Radius of curvature
k : Conic constant
Example (R=100, k=-0.9)
x^2/(100+sqrt(100^2-(1-0.9)*x^2))
Starting point to draw aspheric curve
in local coordinate of the curve
End point to draw aspheric curve
in local coordinate of the curve
Blue color
curve!!
This is local coordinate
Local coordinate
for the curve !!
Local coordinate
of the sketch plane
Global
coordinate
Global coordinate
How to draw an aspheric curve
Cautions!!
β€’ Please check all coordinates after you draw.
β€’ Please make your curve be fully defined in dimension. In other
words, make it be black!! Use β€˜fix’!!