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decimate

decimate(V, F, face_ratio=0.1, num_faces=None)

Reduce the number of faces of a triangle mesh.

From a manifold triangle mesh, builds a new triangle mesh with fewer faces than the original one using libigl's decimation algorithm.

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
face_ratio

Desired ratio of output faces to input faces

 0.1
num_faces int, optional (default None)

Desired number of faces in output mesh (superseeds face_ratio if set)

 None

Returns:

Name Type Description
U numpy double array

Matrix of mesh vertices
G numpy int array

Matrix of triangle indices
I numpy int array

Vector of indices into F of the original faces in G
J numpy int array

Vector of indices into V of the original vertices in U

See Also

lazy_cage.

Notes

As described in libigl, this collapses the shortest edges first, placing the new vertex at the edge midpoint, and stops when the desired number of faces is reached or no face can be collapsed without going below the desired number of faces.

Examples:

# Mesh in v,f
u,g,i,j = gpytoolbox.decimate(v,f,num_faces=100)
# New mesh in u,g
Source code in src/gpytoolbox/decimate.py 
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def decimate(V,F,face_ratio=0.1,num_faces=None):
    """Reduce the number of faces of a triangle mesh.

    From a manifold triangle mesh, builds a new triangle mesh with fewer faces than the original one using libigl's decimation algorithm.

    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
    face_ratio: double, optional (default 0.1)
        Desired ratio of output faces to input faces 
    num_faces : int, optional (default None)
        Desired number of faces in output mesh (superseeds face_ratio if set)

    Returns
    -------
    U : numpy double array
        Matrix of mesh vertices
    G : numpy int array
        Matrix of triangle indices
    I : numpy int array
        Vector of indices into F of the original faces in G
    J : numpy int array
        Vector of indices into V of the original vertices in U

    See Also
    --------
    lazy_cage.

    Notes
    -----
    As described in libigl, this collapses the shortest edges first, placing the new vertex at the edge midpoint, and stops when the desired number of faces is reached or no face can be collapsed without going below the desired number of faces.

    Examples
    --------
    ```python
    # Mesh in v,f
    u,g,i,j = gpytoolbox.decimate(v,f,num_faces=100)
    # New mesh in u,g
    ```
    """

    # Try to import C++ binding
    try:
        from gpytoolbox_bindings import _decimate_cpp_impl
    except:
        raise ImportError("Gpytoolbox cannot import its C++ decimate binding.")

    if (num_faces is None):
        num_faces = np.floor(face_ratio*F.shape[0]).astype(np.int32)

    v, f, i, j = _decimate_cpp_impl(V.astype(np.float64),F.astype(np.int32),num_faces)

    return v,f,i,j