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    :ήc                     @   s@   d dl Zd dlZd dlmZ edddddd Zdd
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 2$$     $
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rC   Hz>r   c                 C   s   | j \}}}|| }|du rtj||ftjd}|||}tj|d tjd}tj|d| d d  tjd}	tj|d| d d| d ftjd}
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    This function implements the alpha estimator for closed-form alpha matting as proposed by :cite:`levin2007closed`.

    Parameters
    ------------
    image: numpy.ndarray
       Image with shape :math:`h\times w \times 3`
    epsilon: float
       Regularization strength, defaults to :math:`10^{-7}`. Strong regularization improves convergence but results in smoother alpha mattes.
    radius: int
       Radius of local window size, defaults to :math:`1`, i.e. only adjacent pixels are considered.
       The size of the local window is given as :math:`(2 r + 1)^2`, where :math:`r` denotes         the radius. A larger radius might lead to violated color line constraints, but also
       favors further propagation of information within the image.
    is_known: numpy.ndarray
        Binary mask of pixels for which to compute the laplacian matrix.
        Laplacian entries for known pixels will have undefined values.

    Returns
    -------
    L: scipy.sparse.spmatrix
        Matting Laplacian
    N)dtyper   r   r   )r	   r   r   bool8reshapeint64float64rC   scipysparse
csr_matrixravel)r   r   radiusr   r   r   r   nr   r   r   LrA   rA   rB   cf_laplacian   s    &rQ   )rD   r   N)numpyr   scipy.sparserJ   numbar   rC   rQ   rA   rA   rA   rB   <module>   s    
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