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fix 3d curvature calculation #62

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Merged
maltezfaria merged 1 commit into from
Oct 18, 2025
Merged

fix 3d curvature calculation #62

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3 changes: 2 additions & 1 deletion src/levelset.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -129,7 +129,8 @@ function curvature(ϕ::LevelSet, I)
ϕzz = D2⁰(ϕ, I, 3)
ϕxy = D2(ϕ, I, (2, 1))
ϕxz = D2(ϕ, I, (3, 1))
κ = (ϕxx * (ϕy)^2 - 2 * ϕy * ϕx * ϕxy + ϕyy * ϕx^2 + ϕx^2 * ϕzz - 2 * ϕx * ϕz * ϕxz + ϕz^2 * ϕxx + ϕy^2 * ϕzz - 2 * ϕy * ϕz * ϕyz + ϕz^2 * ϕyy) / (ϕx^2 + ϕy^2)^3 / 2
ϕyz = D2(ϕ, I, (3, 2))
κ = (ϕxx * ϕy^2 + ϕyy * ϕx^2 + ϕxx * ϕz^2 + ϕzz * ϕx^2 + ϕyy * ϕz^2 + ϕzz * ϕy^2 - 2 * ϕx * ϕz * ϕxz - 2 * ϕy * ϕz * ϕyz - 2 * ϕy * ϕx * ϕxy) / (ϕx^2 + ϕy^2 + ϕz^2)^(3 / 2)
return κ
else
# generic method
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