Skip to content

dec_h2inv

dec_h2inv(V, F)

Builds the inverse DEC 2-Hodge-star operator as described, for example, in Crane et al. 2013. "Digital Geometry Processing with Discrete Exterior Calculus".

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

Returns:

Name Type Description
h2inv (m,m) scipy csr_matrix

inverse of DEC operator h2

Examples:

# Mesh in V,F
h2inv = gpy.dec_h2inv(V,F)
Source code in src/gpytoolbox/dec_h2inv.py 
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
def dec_h2inv(V,F):
    """Builds the inverse DEC 2-Hodge-star operator as described, for example,
    in Crane et al. 2013. "Digital Geometry Processing with Discrete Exterior
    Calculus".

    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

    Returns
    -------
    h2inv : (m,m) scipy csr_matrix
        inverse of DEC operator h2

    Examples
    --------
    ```python
    # Mesh in V,F
    h2inv = gpy.dec_h2inv(V,F)
    ```

    """

    l_sq = halfedge_lengths_squared(V,F)
    return dec_h2inv_intrinsic(l_sq,F)