0-Phq1ddlZddlmZddlmZddlmZddlm Z ddl Z ddl m Z ddl mZdd lmZd Zefd Zd Ze jd dddZdS)N)sparse)spsolve)laplace)utils)label)_build_matrix_innercptj||z d}tj||zdz|}||fS)Nrr )npmaximumminimum)nd_idxradiusnd_shape bounds_lo bounds_his [/var/www/html/test/jupyter/venv/lib/python3.11/site-packages/skimage/restoration/inpaint.py_get_neighborhoodr s< 6F?A..I 6F?Q.99I i ctj||}d||<tt|}tj|}||}tj|d}|||fS)Ndtyper raxis)r zerosrwherestack)shapecenterr neigh_coefcoef_idx coef_valss r_get_neigh_coefr$sq%u---JJv,,--Jx ##H8$Ixq)))H x **rc|jd}|jddz}tj|jt}d|t || f|jz<||z} ||z} tj| } tj| } tj| } tj| | f}tj| }tdt| |D}|dk}tj ||tj d}||}tj|}tj|}|tj||kz }tj|tj}tj||f|j}tj|tj}tj|tj}tj||j}i}|d}tj|d|f}d}d} d}!tj| d } t/| D]\}!}"t1|"||j\}#}$t|$|#z }%t|"|#z }&||%|&fd \}'}(|'$t5|%|&|j\})}'}(|'|(f||%|&f<|'|#d d tjfz}'tj|'|j}*d}+t|(|*D]H\},}-||-r|!|| <|-|| <|,|| <| dz } "||d d fxx|,||-d d fzzcc<|+dz }+I|+r |!||<|dz } |!dz}.|}/| }0t;|.|/|0| ||||||||| }1|d |1}|d |1d d f}||jf}2t?j |||ff|2 }3|3d d |f}3tj||f|j}4||4|d d f<tC|3|4d d}5|5jdkr|5d d tjf}5|5||<|S)aSolve a (sparse) linear system corresponding to biharmonic inpainting. This function creates a linear system of the form: ``A @ u = b`` where ``A`` is a sparse matrix, ``b`` is a vector enforcing smoothness and boundary constraints and ``u`` is the vector of inpainted values to be (uniquely) determined by solving the linear system. ``A`` is a sparse matrix of shape (n_mask, n_mask) where ``n_mask`` corresponds to the number of non-zero values in ``mask`` (i.e. the number of pixels to be inpainted). Each row in A will have a number of non-zero values equal to the number of non-zero values in the biharmonic kernel, ``neigh_coef_full``. In practice, biharmonic kernels with reduced extent are used at the image borders. This matrix, ``A`` is the same for all image channels (since the same inpainting mask is currently used for all channels). ``u`` is a dense matrix of shape ``(n_mask, n_channels)`` and represents the vector of unknown values for each channel. ``b`` is a dense matrix of shape ``(n_mask, n_channels)`` and represents the desired output of convolving the solution with the biharmonic kernel. At mask locations where there is no overlap with known values, ``b`` will have a value of 0. This enforces the biharmonic smoothness constraint in the interior of inpainting regions. For regions near the boundary that overlap with known values, the entries in ``b`` enforce boundary conditions designed to avoid discontinuity with the known values. rrrc@g|]\}}tj||fS)r concatenate).0bcs r z5_inpaint_biharmonic_single_region..Qs*WWWAbnaV,,WWWrconstant)outputmoder r)NNN)rFMMD_ATA) use_umfpack permc_spec)"rr onesboolslicendimr flatnonzeror)tuplezipndiconvolveuint8sum count_nonzeroemptyintprrreshapeascontiguousarrayr enumeratergetr$newaxisravel_multi_indexr sizer csr_arrayr)6imagemaskoutneigh_coef_fullr#raveled_offsets n_channelsr edge_mask boundary_mask center_mask boundary_pts boundary_icenter_imask_i center_ptsmask_pts structuretmp nnz_matrixn_maskn_structnnz_rhs_vector_max row_idx_known data_knownrow_idx_unknowncol_idx_unknown data_unknown coef_cache mask_flatout_flat idx_known idx_unknown mask_pt_nrb_lob_hi coef_shape coef_centerr"coefs_index1dnvalscoefi row_startknown_start_idxunknown_start_idxnnz_rhssp_shapematrix_unknownrhsresults6 r!_inpaint_biharmonic_single_regionr|!sD2J  "1 % *F $///I78IuVfW%%'$)34$M*t#K8M**L ..J~k**H ^Z2 3 3F+&&JWW\:9V9VWWWXXH 1$I ,tYrxj I I ICTJ d # #F **H""23(?"C"CCH/rw???M-z:#)LLLJhz999Ohz999O8Jci888LJ R  I#CKKZ0@$A$ABBHIKI8Lq111L&|44 6&vvtzBB d4$;'' FTM** $..*k)BLQQ%  !0Ksy""" Ax6>u4EJ K0 1d111bj=11&x<<5'**  GD!| /8 ,/0 ,,0 [)q 9aaa<(((D8AqqqD>,AA(((   '0M) $ NIA IO#!!G("(7(+MHWHaaaK(J!H% 9:(N $AAAvI.N (FJ'sy 9 9 9C&C qqq^Se R R RF {a2: &CM JrF)split_into_regions channel_axisc |jdkrtd|du}|r|jddn|j}||jkrtdtj|rt dtj|}tj |j }| |d}| td}|s|d tjf}tj|d }d d zdzf|jz}f|jz} t!|| |j \} } } |jd| z } ||}|d|df}|rKt)j|jd}t)j||}t/|}||z}t)j|}t3|dD]\}}t5fdt7||jD}|||k}|t9dfz }||}tjfd|djD}tj| |d tjfzd}t?||||| | ||||<njtjfd|djD}tj| |d tjfzd}t?|||| | |tj ||d|d||s|d}|S)aInpaint 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. split_into_regions : boolean, optional If True, inpainting is performed on a region-by-region basis. This is likely to be slower, but will have reduced memory requirements. channel_axis : int or None, optional If None, the image is assumed to be a grayscale (single channel) image. Otherwise, this parameter indicates which axis of the array corresponds to channels. .. versionadded:: 0.19 ``channel_axis`` was added in 0.19. Returns ------- out : (M[, N[, ..., P]][, C]) ndarray Input image with masked pixels inpainted. References ---------- .. [1] S.B.Damelin and N.S.Hoang. "On Surface Completion and Image Inpainting by Biharmonic Functions: Numerical Aspects", International Journal of Mathematics and Mathematical Sciences, Vol. 2018, Article ID 3950312 :DOI:`10.1155/2018/3950312` .. [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 1DNr&z&Input arrays have to be the same shapezMasked arrays are not supportedF)copy.C)orderrrrr)rYc3K|]C\}}tt|jz dt|jz|VDdS)rN)r6maxstartminstop)r*slrHrs r z%inpaint_biharmonic..*sgBc"(V+Q//RWv5Et1L1LMMrcg|]}|zSr(r(r*schannel_stride_bytess rr-z&inpaint_biharmonic..7sIIIq**IIIr).rcg|]}|zSr(r(rs rr-z&inpaint_biharmonic..GsTTT1Q"66TTTr)a_mina_maxrL)!r7 ValueErrorrr ma isMaskedArray TypeErrorskimage img_as_floatr_supported_float_typerastyper5rFrr$stridesrrr;generate_binary_structurebinary_dilationr find_objectsrDr9r:r6arrayr>r|clip)rJrKr}r~ multichannel img_baseshape float_dtyperLrlrmrMr"r#offsets known_pointslimitskernel mask_dilated mask_labeled bbox_slices idx_regionbb_sliceroi_sl mask_regionotmpostridesrNrrs @@rinpaint_biharmonicrsd zA~~<===t+L(4EEK$$%+M ""ABBB u5!!;9:::   ' 'E-ek::K LL5L 1 1E ;;t%; ( (D 'c2:o& '%s # # #CFf*q."TY.J)di'K+:Ksy,,,(OXy ;r?G$8TTTTF @STTTUU&8CO+D!D1MMM) 4oy/   GCvayq s;;;; &k Jr)numpyr scipyrscipy.sparse.linalgr scipy.ndimagendimager;rr_sharedrmeasurer_inpaintr rfloatr$r|channel_as_last_axisrr(rrrs''''''!!!!!!))))))   */ + + + +aaaH:?dNNNNNNNr