j/ ddlZddlmZmZ ddlmZmZddlm Z ddlmZmZddlmZdd lmZdd lmZdd lmZ dd Zdd ZddZ ddZ ddededeefdZdZdZ y#e $rZ ddl m Z e e ZeeecZZ ZYdZ [ ldZ [ wwxYw)N) ArrayLikeOptional) coo_matrixeye)spsolve)ExceptionWrapper)graph triangles)Trimesh) index_sparsemass_properties)unitizecN| t|}|r |j}|jjj t j }|jjj t j }|r,|jd} t| |t| |z zz} t|D]X} |s|j||z } ||| zz }n t |}|s1tj||dd} || z dzz}Z||_|S)a Smooth a mesh in-place using laplacian smoothing. Articles 1 - "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller 2 - "Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow". M. Desbrun, M. Meyer, P. Schroder, A.H.B. Caltech Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs implicit_time_integration: boolean if False: explicit time integration -lamb <= 1.0 - Stability Limit (Article 1) if True: implicit time integration -lamb no limit (Article 2) iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None rT skip_inertiavolumegUUUUUU?)laplacian_calculationrverticescopyviewnpndarrayfacesshaperrangedotrr r)meshlamb iterationsimplicit_time_integrationvolume_constraintlaplacian_operatorvol_inirrdlapAA_indexrvol_news >/DATA/.local/lib/python3.12/site-packages/trimesh/smoothing.pyfilter_laplacianr+s$J!248++}}!!#((4H JJOO  " "2:: .E!!''* YT-?!?@ @ #($((2X=C s "Hr8,H //dSG 7* : :H#$(DM Kc| t|}|jjjtj }|j}t |D]T}|j}|j|}|||zd|z |zzz } ||| zd|z |j| zzz}V||_|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 ?rrrrrrrr) ralphabetar!r$roriginalr(vert_qvert_bs r*filter_humphreyr5cs4!248}}!!#((4H}}H #%))(3UX-u0FFGD6MS4Z3E3I3I&3Q$QQQ $DM Kr,c| t|}|jjjtj }t |D]/}|j||z }|dzdk(r |||zz }(|||zz}1||_|S)a Smooth a mesh in-place using laplacian smoothing and taubin filtering. Articles "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place. lamb : float Controls shrinkage, range is 0.0 - 1.0 nu : float Controls dilation, range is 0.0 - 1.0 Nu shall be between 0.0 < 1.0/lambda - 1.0/nu < 0.1 iterations : int Number of passes to run the filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None rr/)rr nur!r$rindexrs r* filter_taubinr:s.!248}}!!#((4Hz" $$X.9 19> s "H S H#DM Kr,c | t|}|r |j}|jjj t j }|jjj t j }dt j|jdzz}t|D]} t|} |j|} || z } t j| | zjt jd} dt jd| z } t jd|zt j d|| zt j"| z }|j|}||||z zz }|st%||dd }| d k(rt'||| ||}|| z|z zz }||_|S) a Smooth a mesh in-place using laplacian smoothing using a mutable diffusion laplacian. Articles Barroqueiro, B., Andrade-Campos, A., Dias-de-Oliveira, J., and Valente, R. (January 21, 2021). "Bridging between topology optimization and additive manufacturing via Laplacian smoothing." ASME. J. Mech. Des. Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None g{Gz??)rr.g-q=g?Trrr)rrrrrrrrmax area_facesrget_vertices_normalsrabsonesmaximumminimummeanr dilate_slope)rr r!r#r$v_inirrepsr(normalsqipi_qiadillamberrvolslopes r*filter_mut_dif_laplacianrPs<!248 }}!!#((4H JJOO  " "2:: .E "&&)S0 1C #&t,  # #H -2 vvw++BGGFO<=RZZt,,C$J 3t bggdm8S(TU!$$X.FcHn-- !(5/EhOC{$XugsCH %53;7 7H'$,DM Kr,r equal_weightpinned_verticesc|rtj|j}|d|jt j |j |<t j|j |f|_t j|j|f|_t j|jt jt|tf|_|jd|jdz }|S|j}| |D]}|g||< |jj!tj"}t j|}t jt%|Dcgc]\}}|gt|zc}}} t jd} t%|Dcgc]Q\}}dt j&dt j(t j*||||z dz| z S} }}t j| Dcgc]}||jz c}} t-| | |fft|gdz }|Scc}}wcc}}wcc}w) al Calculate a sparse matrix for laplacian operations. Note that setting equal_weight to False significantly hampers performance. 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 pinned_vertices : None or list of ints If None, no vertices are pinned If list, vertices will be pinned, such that they will not be moved Returns ---------- laplacian : scipy.sparse.coo.coo_matrix Laplacian operator F)dtyper.r)axisr=gư>r7)r)r edges_to_cooedgesdatarisinrow concatenatecolrBlenboolmultiplysumvertex_neighborsrrr enumeraterCsqrtrr) rrQrR laplacian neighborsirr\nrZrBnormsrXs r*rrs%2&&tzz2  &FKINN2779==/B CNNIMM?+KLIMNNIMM?+KLIM^^_)=T!JKIN&&sY]]]-B'BC D =))   &$ !s ! %==%%bjj1nnY'nny7KL7Ktq!qcCFl7KLMwwqz "), -1 jjrwwrvvx{Xa[/HQ.NPT'UVW X,  ~~E:Eqq1557{E:;sCj1#h-19LM #M  ;sI3 AI92I?c|j}|j}|j}tt ||j |}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_normalsr r]rr)rrrrj vert_normalss r*r@r@QsK}}H JJE$$L H u599,GL <  r,cH|||zz}t||dd}|||z z S)a Get the 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)rrrIvrH vertices2v2s r*rFrFks7&7S=(I 5) =h GB BF r,)r< FTN)g?r<rpN)r<r<rpN)r<rpTN)TN)!numpyrtypedrr scipy.sparserrscipy.sparse.linalgr ImportErrorE exceptionsr wrapperr r baser geometryr rutilrr+r5r:rPr^rr@rFr,r*r~s&9,+"& # K\+\)ZOSCP+/K KKi(K\!4G 9,q!G&C* 9sA))B .BB