l0j*ddlZ ddlmZmZddlmZn #e$rYnwxYwddlm Z ddl m Z ddl m Z ddl mZ dd ZddZddZ ddZddZdZdZdS)N) coo_matrixeye)spsolve) triangles) index_sparsemass_properties)unitize? FTcp|t|}|r|j}|jt j}|jt j}|r2|jd} t| |t| |z zz} t|D]d} |s!| ||z } ||| zz }nt| |}|r-tj||dd} ||| z dzz}e||_|S)a Smooth a mesh in-place using laplacian smoothing. Articles 1 - "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller 2 - "Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow". M. Desbrun, M. Meyer, P. Schroder, A.H.B. Caltech Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs implicit_time_integration: boolean if False: explicit time integration -lamb <= 1.0 - Stability Limit (Article 1) if True: implicit time integration -lamb no limit (Article 2) iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None NrT skip_inertiavolumegUUUUUU?)laplacian_calculationrverticescopyviewnpndarrayfacesshaperrangedotrrr )meshlamb iterationsimplicit_time_integrationvolume_constraintlaplacian_operatorvol_inirrdlapAA_indexrvol_news T/home/wildlama/miniconda3/envs/lam/lib/python3.11/site-packages/trimesh/smoothing.pyfilter_laplacianr(sSJ!2488+}!!##((44H JOO   " "2: . .E!A!'* YYT-?!?@ @ ##;;( -$((22X=C s "HHr8,,H  ;/dSSSG 7* : :HDM K皙?c|t|}|jtj}|}t |D]`}|}||}|||zd|z |zzz } ||| zd|z || zzz}a||_|S)a Smooth a mesh in-place using laplacian smoothing and Humphrey filtering. Articles "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place alpha : float Controls shrinkage, range is 0.0 - 1.0 If 0.0, not considered If 1.0, no smoothing beta : float Controls how aggressive smoothing is If 0.0, no smoothing If 1.0, full aggressiveness iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None N?rrrrrrrr) ralphabetarr!roriginalr%vert_qvert_bs r'filter_humphreyr3]s4!2488}!!##((44H}}H ##RR%))(33UX-u0FFGD6MS4Z3E3I3I&3Q3Q$QQQDM Kr)c*|t|}|jtj}t |D]4}|||z }|dzdkr |||zz },|||zz}5||_|S)a Smooth a mesh in-place using laplacian smoothing and taubin filtering. Articles "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place. lamb : float Controls shrinkage, range is 0.0 - 1.0 nu : float Controls dilation, range is 0.0 - 1.0 Nu shall be between 0.0 < 1.0/lambda - 1.0/nu < 0.1 iterations : int Number of passes to run the filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None Nrr-)rrnurr!rindexrs r' filter_taubinr8s.!2488}!!##((44Hz""!! $$X..9 19>> s "HH S HHDM Kr)c |t|}|r|j}|jt j}|jt j}dt j|j dzz}t|D])} t|} | |} || z } t j | | z t jd} dt jd| z } t jd|zt jd|| zt j| z }| ||z }|||zz }|rDt%||d d }| d krt'||| ||}|| |z||z zz }+||_|S) a Smooth a mesh in-place using laplacian smoothing using a mutable diffusion laplacian. Articles Barroqueiro, B., Andrade-Campos, A., Dias-de-Oliveira, J., and Valente, R. (January 21, 2021). "Bridging between topology optimization and additive manufacturing via Laplacian smoothing." ASME. J. Mech. Des. Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None Ng{Gz?r )rr,g-q=g?Trrr)rrrrrrrrmax area_facesrget_vertices_normalsrabsonesmaximumminimummeanr dilate_slope)rrrr r!v_inirrepsr%normalsqipi_qiadillamberrvolslopes r'filter_mut_dif_laplacianrMs<!2488 }!!##((44H JOO   " "2: . .E "&))S0 1C ##88&t,,  # #H - -2 vw++BGFOO<<==RZt,,,C$J 3t bgdmm8S(T(TUU!$$X..9FSL   8!(5/EEEhOC{{$XugsCHH %53;7 7HDM Kr)c" |j}| |D]}|g||< |jtj tj|}tjdt |D}|rtjd|D}nNtjd fdt |D}tjd|D}t|||fft gdz} | S) a Calculate a sparse matrix for laplacian operations. Parameters ------------- mesh : trimesh.Trimesh Input geometry equal_weight : bool If True, all neighbors will be considered equally If False, all neighbors will be weighted by inverse distance Returns ---------- laplacian : scipy.sparse.coo.coo_matrix Laplacian operator Nc:g|]\}}|gt|zSlen).0ins r' z)laplacian_calculation..s(HHH41a1#A,HHHr)cTg|]%}dt|z gt|z&S)r,rQ)rSrUs r'rVz)laplacian_calculation..s/JJJ1c!ff ~A6JJJr)r:c g|]T\}}dtjdtjtj||z dzz US)r,gư>r5)rr@sqrtr)rSrTrUr?rs r'rVz)laplacian_calculation..#sm   1 jrwrvx{Xa[/HQ.NPT'U'UVVWW X   r)c<g|]}||z SrP)sum)rSrTs r'rVz)laplacian_calculation..)s$:::qq15577{:::r)r5)r) vertex_neighborsrrrr concatenate enumerater?rrR) r equal_weightpinned_vertices neighborsrTcolrowdatanormsmatrixr?rs @@r'rrs? %I"   A3IaLL}!!"*--H . # #C .HH9Y3G3GHHH I IC<~JJ JJJKKwqzz     "),,    ~::E:::;;Sz*3x==/A2E F F FF Mr)c|j}|j}|j}tt |||}t |S)z Compute Vertex normals using equal weighting of neighbors faces. Parameters ------------- mesh : trimesh.Trimesh Input geometry Returns ---------- vertices_normals: array Vertices normals )rr face_normalsrrRrr )rrrrh vert_normalss r'r=r=1sO}H JE$L H u5599,GGL <  r)c\|||zz}t||dd}|||z z S)a Get de derivate of dilation scalar by the volume variation by finite differences Thus, Vertices += vertex_normals*dilate_slope*(Initial_Volume - Srinked_Volume) Parameters ------------- mesh : trimesh.Trimesh Input geometry vertices: mesh.vertices faces: mesh.faces normals: array vertices normals Returns ---------- dilate_slope: float derivative Trrr )rrrFvrE vertices2v2s r'rCrCKs=&7S=(I 5) = = =h GB BF r))r r FTN)r*r r N)r r r N)r r TN)TN)numpyr scipy.sparserrscipy.sparse.linalgr ImportErrorrgeometryrr utilr r(r3r8rMrr=rCrPr)r'rus^ ,,,,,,,,+++++++   D """"""&&&&&& # KKKK\++++\))))ZOSBBBBJ2222j!!!4s