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LasNikas committed Aug 12, 2024
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Expand Up @@ -11,7 +11,7 @@ The winding number ``w(\mathbf{p})`` is a signed integer-valued function of a po
w(\mathbf{p}) = \frac{1}{2 \pi} \sum^n_{i=1} \Theta_i,
```

where ``\Theta_i`` is the **signed** angle between the directions of ``\mathbf{p}`` to two consecutive vertices ``\mathbf{c}_i`` and ``\mathbf{c}_{i+1}`` on a curve.
here, ``\Theta_i`` is the *signed* angle between ``\mathbf{c}_i - \mathbf{p}`` and ``\mathbf{c}_{i+1} - \mathbf{p}`` where ``\mathbf{c}_i`` and ``\mathbf{c}_{i+1}`` are two consecutive vertices on a curve.
In 3D, we refer to the solid angle of an *oriented* triangle with respect to ``\mathbf{p}``.

We provide the following methods to calculate ``w(\mathbf{p})``:
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