Robust Inside-Outside Segmentation using Generalized Winding Numbers

Integrating with existing code from Robust Inside-Outside Segmentation using Generalized Winding Numbers.

Project URL: libigl

The original formula:

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The original source code:

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The modified source code:

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I❤️LA source code:

from trigonometry: atan2

𝐚 = `vᵢ` - p
𝐛 = `vⱼ` - p
𝐜 = `vₖ` - p
a = ‖𝐚‖
b = ‖𝐛‖
c = ‖𝐜‖

atan2(|[𝐚 𝐛 𝐜]|, (abc+(𝐚⋅𝐛)c+(𝐛⋅𝐜)a+(𝐜⋅𝐚)b))/(2π)

where

`vᵢ` ∈ ℝ^3
`vⱼ` ∈ ℝ^3 
`vₖ` ∈ ℝ^3 
p ∈ ℝ^3 

I❤️LA LaTeX output: