U !?h @s6ddlZddlmZmZmZddlmZd ddZdS) N) vec_vec_dot mat_vec_dot vec_vec_outer) boxfilterHz> Tc sDtjdd}||}j\}tdd|}ttdd|}|t||8}tj|||t||t |d|t |tt ddfddfdd} |r@tddd} dtdd} | t tdd8} | t | 7} | | fS| S) aCalculates the Laplacian for large kernel matting :cite:`he2010fast` Parameters ---------- image: numpy.ndarray Image of shape :math:`h\times w \times 3` epsilons: float Regularization strength, defaults to :math:`10^{-7}` radius: int Radius of local window size, defaults to :math:`10`, 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. return_diagonal: bool Whether to also return the diagonal of the laplacian, defaults to True Returns ------- L_matvec: function Function that applies the Laplacian matrix to a vector diag_L: numpy.ndarray Diagonal entries of the matting Laplacian, only returns if `return_diagonal` is True validmodefullcs|}t|dd}t|ddddtjfdd}|}|ddddtjft|}|tt|dd7}|t|}|t|dd8}|S)Nr r r )ZreshapernpZnewaxisrrflatten)pZp_sumsZpI_sumsZp_LtempVZVmchimageZmVmradiuswS/var/www/html/venv/lib/python3.8/site-packages/pymatting/laplacian/lkm_laplacian.pyL_matvec3s &&zlkm_laplacian..L_matvecg?) ZastyperZfloat64shaperrZlinalginveyerrZonesr) repsilonrZreturn_diagonalZ window_sizeZ window_areadepthZmeansZcovsrZdiag_Lrrrr lkm_laplacians&   " ( r!)rrT) numpyrZpymatting.util.utilrrrZpymatting.util.boxfilterrr!rrrrs