hhq1ddlZddlmZddlmZddlmZddlm Z ddl Z ddl m Z ddl mZdd lmZd Zefd Zd Ze j*d dddZy)N)sparse)spsolve)laplace)utils)label)_build_matrix_innercttj||z d}tj||zdz|}||fS)Nrr )npmaximumminimum)nd_idxradiusnd_shape bounds_lo bounds_his Y/var/www/html/dev/engine/venv/lib/python3.12/site-packages/skimage/restoration/inpaint.py_get_neighborhoodr s: 6F?A.I 6F?Q.9I i ctj||}d||<tt|}tj|}||}tj|d}|||fS)Ndtyper raxis)r zerosrwherestack)shapecenterr neigh_coefcoef_idx coef_valss r_get_neigh_coefr$sb%u-JJv,-Jxx #H8$Ixxq)H x **rc, |jd}|jddz}tj|jt}d|t || f|j z<||z} ||z} tj | } tj| } tj| } tj| | f}tj | }tt| |Dcgc]\}}tj||fc}}}|dk7}tj||tjd}||j}tj|}tj|}|tj||k(z }tj |tj"}tj$||f|j&}tj |tj"}tj |tj"}tj ||j&}i}|j)d}tj*|j)d|f} d}!d}"d}#tj,| d} t/| D]\}#}$t1|$||j\}%}&t|&|%z }'t|$|%z }(|j3|'|(fd \})}*|)%t5|'|(|j&\}+})}*|)|*f||'|(f<|)|%d d tj6fz})tj8|)|j},d}-t|*|,D]?\}.}/||/r|#||"<|/||"<|.||"<|"dz }" ||!d d fxx|.| |/d d fzzcc<|-dz }-A|-s |#||!<|!dz }!|#dz}0|!}1|"}2t;|0|1|2| |||| ||||| }3|d |3}|d |3d d f}||j<f}4t?j@|||ff|4 }5|5d d |f}5tj$||f|j&}6||6|d d f<tC|5|6d d }7|7j dk(r|7d d tj6f}7|7||<|Scc}}w)aSolve a (sparse) linear system corresponding to biharmonic inpainting. This function creates a linear system of the form: ``A @ u = b`` where ``A`` is a sparse matrix, ``b`` is a vector enforcing smoothness and boundary constraints and ``u`` is the vector of inpainted values to be (uniquely) determined by solving the linear system. ``A`` is a sparse matrix of shape (n_mask, n_mask) where ``n_mask`` corresponds to the number of non-zero values in ``mask`` (i.e. the number of pixels to be inpainted). Each row in A will have a number of non-zero values equal to the number of non-zero values in the biharmonic kernel, ``neigh_coef_full``. In practice, biharmonic kernels with reduced extent are used at the image borders. This matrix, ``A`` is the same for all image channels (since the same inpainting mask is currently used for all channels). ``u`` is a dense matrix of shape ``(n_mask, n_channels)`` and represents the vector of unknown values for each channel. ``b`` is a dense matrix of shape ``(n_mask, n_channels)`` and represents the desired output of convolving the solution with the biharmonic kernel. At mask locations where there is no overlap with known values, ``b`` will have a value of 0. This enforces the biharmonic smoothness constraint in the interior of inpainting regions. For regions near the boundary that overlap with known values, the entries in ``b`` enforce boundary conditions designed to avoid discontinuity with the known values. rrrconstant)outputmoder r)NNN)rFMMD_ATA) use_umfpack permc_spec)"rr onesboolslicendimr flatnonzero concatenatetuplezipndiconvolveuint8sum count_nonzeroemptyintprrreshapeascontiguousarrayr enumeratergetr$newaxisravel_multi_indexr sizer csr_arrayr)8imagemaskoutneigh_coef_fullr#raveled_offsets n_channelsr edge_mask boundary_mask center_mask boundary_pts boundary_icenter_imask_i center_ptsbcmask_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_unknownrhsresults8 r!_inpaint_biharmonic_single_regionrx!sD2J  " "1 % *F $/I78IuVfW%'$))34$M*t#K88M*L .J~~k*H ^^Z2 3F+&J\:9VWAbnnaV,WXH 1$I ,,tYrxxj ICTJ  d #F *H""2"23(?"CCHH/rww?M-z:#))LJhhz9Ohhz9O88Jcii8LJ R I##CKKZ0@$ABHIKI88Lq1L&|4 6&vvtzzB d4$;' FTM* $..*k)BLQ%  !0Ksyy" Ax6>u4EJ K0 1d1bjj=11&&x<5'* GD!|/8 ,/0 ,,0 [)q 9a<(D8AqD>,AA(   '0M) $ NI?DA IO#!!G("(7+MHWHaK(J!H%% 9:(N $AvI.N ((FJ'syy 9C&C q^Se RF {{a2:: &CM JcXs/!R F)split_into_regions channel_axisc |jdkr td|du}|r|jddn |j}||jk7r tdtjj |r t dtj|}tj|j}|j|d}|jtd}|s|d tjf}tj|d }d d zdzf|jz}f|jz} t!|| |j \} } } |j"d} | z }||}|j%d|j'df}|r;t)j*|jd}t)j,||}t/|}||z}t)j0|}t3|dD]\}}t5fdt7||jD}|||k(}|t9dfz }||j}tj:|dj"Dcgc]}|| z c}}tj<||d tjfzd}t?||||| | ||||<nptj:|dj"Dcgc]}|| z c}}tj<||d tjfzd}t?|||| | |tj@||d|d||s|d}|Scc}wcc}w)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)rUc3K|]A\}}tt|jz dt|jz|Cyw)rN)r/maxstartminstop).0slrBrs r z%inpaint_biharmonic..*sDBc"((V+Q/RWWv5Et1LMsAA ).r)a_mina_maxrF)!r0 ValueErrorrr ma isMaskedArray TypeErrorskimage img_as_floatr_supported_float_typerastyper.r@r|r$stridesrrr5generate_binary_structurebinary_dilationr find_objectsr>r3r4r/arrayr8rxclip)rDrEryrz multichannel img_baseshape float_dtyperFrhrirGr"r#channel_stride_bytesoffsets known_pointslimitskernel mask_dilated mask_labeled bbox_slices idx_regionbb_sliceroi_sl mask_regionotmpsostridesrHrs @rinpaint_biharmonicrsVd zzA~<==t+L(4EKK$%++M "ABB uu5!9::   'E--ekk:K LL5L 1E ;;t%; (D c2::o& ''%s #CFf*q."TYY.J)dii'K+:Ksyy,(OXy ;;r?G$88F @S@ST1Q"66TU&&8CO+D!D1M) 4oy/ GGCvayq s; &k J;J Us 2 M% - M*)numpyr scipyrscipy.sparse.linalgr scipy.ndimagendimager5rr_sharedrmeasurer_inpaintr rfloatr$rxchannel_as_last_axisrrrrs\'!) */ +aH:?dNNr