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t|
|	 }d|t||	 < tt|}tj|dgd}xX|D ]P}|dkrqt|	|j}t|| j}| t| r||||f< q||||f< qW q\W t j| tdgf|j|jfd}| }|| jdd }|d d |f }t |}t||}tj|f| }| }x&t
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tmp_pt_idxZtmp_pt_iZflat_diag_imageZrhsresultr   r   r   "_inpaint_biharmonic_single_channel   s<    


r   Fc             C   s@  | j dk rtd|r$| jdd n| j}||jkr<tdtj| rPtdt| } |	tj
}tj|j d}tjj||d}t|dd	\}}||9 }|s| d
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|	f | qW qW |s<|d }|S )a-  Inpaint masked points in image with biharmonic equations.

    Parameters
    ----------
    image : (M[, N[, ..., P]][, C]) ndarray
        Input image.
    mask : (M[, N[, ..., P]]) ndarray
        Array of pixels to be inpainted. Have to be the same shape as one
        of the 'image' channels. Unknown pixels have to be represented with 1,
        known pixels - with 0.
    multichannel : boolean, optional
        If True, the last `image` dimension is considered as a color channel,
        otherwise as spatial.

    Returns
    -------
    out : (M[, N[, ..., P]][, C]) ndarray
        Input image with masked pixels inpainted.

    References
    ----------
    .. [1]  N.S.Hoang, S.B.Damelin, "On surface completion and image inpainting
            by biharmonic functions: numerical aspects",
            https://arxiv.org/abs/1707.06567
    .. [2]  C. K. Chui and H. N. Mhaskar, MRA Contextual-Recovery Extension of
            Smooth Functions on Manifolds, Appl. and Comp. Harmonic Anal.,
            28 (2010), 104-113,
            DOI: 10.1016/j.acha.2009.04.004

    Examples
    --------
    >>> img = np.tile(np.square(np.linspace(0, 1, 5)), (5, 1))
    >>> mask = np.zeros_like(img)
    >>> mask[2, 2:] = 1
    >>> mask[1, 3:] = 1
    >>> mask[0, 4:] = 1
    >>> out = inpaint_biharmonic(img, mask)
    r	   z!Input array has to be at least 1DNz&Input arrays have to be the same shapezMasked arrays are not supported)Z	structureT)Z
return_num.).r   )ndim
ValueErrorr   r   ZmaZisMaskedArray	TypeErrorskimageZimg_as_floatZastypeboolndiZ
morphologyZgenerate_binary_structureZbinary_dilationr   Znewaxiscopyranger   r
   r   )Zimager   ZmultichannelZimg_baseshapeZkernelZmask_dilatedZmask_labeledZ
num_labelsr   Zidx_channelZknown_pointsr   Z
idx_regionZmask_regionr   r   r   inpaint_biharmonicM   s4    (



r(   )F)Z
__future__r   Znumpyr   Zscipyr   Zscipy.sparse.linalgr   Zscipy.ndimageZndimager%   Zscipy.ndimage.filtersr   r#   Zmeasurer   r   r   r(   r   r   r   r   <module>   s   ;