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tip_angles

tip_angles(V, F, use_small_angle_approx=True)

Computes the angles formed by each vertex within its respective face (the tip angle).

Parameters:

Name Type Description Default
V (n,d) numpy array

vertex list of a triangle mesh

 required
F (m,3) numpy int array

face index list of a triangle mesh

 required
use_small_angle_approx bool, optional (default: True)

If True, uses a different, more more stable formula for small angles.

 True

Returns:

Type Description
α : (m,3) numpy array

tip angles for each vertex referenced in F

Examples:

from gpytoolbox import regular_square_mesh, tip_angles
v, f = regular_square_mesh(10)
alpha = tip_angles(v,f)
Source code in src/gpytoolbox/tip_angles.py 
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def tip_angles(V, F,
    use_small_angle_approx=True):
    """Computes the angles formed by each vertex within its respective face
    (the tip angle).

    Parameters
    ----------
    V : (n,d) numpy array
        vertex list of a triangle mesh
    F : (m,3) numpy int array
        face index list of a triangle mesh
    use_small_angle_approx : bool, optional (default: True)
        If True, uses a different, more more stable formula for small angles.

    Returns
    -------
    α : (m,3) numpy array
        tip angles for each vertex referenced in `F`

    Examples
    --------
    ```python
    from gpytoolbox import regular_square_mesh, tip_angles
    v, f = regular_square_mesh(10)
    alpha = tip_angles(v,f)
    ```

    """

    l_sq = halfedge_lengths_squared(V,F)
    return tip_angles_intrinsic(l_sq,F,use_small_angle_approx)