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  
Estimate alpha from an input image and an input trimap using Learning Based Digital Matting as proposed by :cite:`zheng2009learning`.

Parameters
----------
image: numpy.ndarray
    Image with shape :math:`h \times  w \times d` for which the alpha matte should be estimated
trimap: numpy.ndarray
    Trimap with shape :math:`h \times  w` of the image
preconditioner: function or scipy.sparse.linalg.LinearOperator
    Function or sparse matrix that applies the preconditioner to a vector (default: ichol)
laplacian_kwargs: dictionary
    Arguments passed to the :code:`lbdm_laplacian` function
cg_kwargs: dictionary
    Arguments passed to the :code:`cg` solver

Returns
-------
alpha: numpy.ndarray
    Estimated alpha matte

Example
-------
>>> from pymatting import *
>>> image = load_image("data/lemur/lemur.png", "RGB")
>>> trimap = load_image("data/lemur/lemur_trimap.png", "GRAY")
>>> alpha = estimate_alpha_lbdm(
...     image,
...     trimap,
...     laplacian_kwargs={"epsilon": 1e-6},
...     cg_kwargs={"maxiter":2000})

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