Ti/0ddlZddlmZmZ ddlmZmZddlm Z n*#e $r"Z ddl m Z e e ZeeecZZ ZYdZ [ ndZ [ wwxYwddlmZmZddlmZdd lmZdd lmZdd lmZ ddZddZddZ ddZ ddededeefdZdZdZ dS) N) ArrayLikeOptional) coo_matrixeye)spsolve)ExceptionWrapper)graph triangles)Trimesh) index_sparsemass_properties)unitize? FTcp|t|}|r|j}|jt j}|jt j}|r2|jd} t| |t| |z zz} t|D]d} |s!| ||z } ||| zz }nt| |}|r-tj||dd} ||| z dzz}e||_|S)a Smooth a mesh in-place using laplacian smoothing. Articles 1 - "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller 2 - "Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow". M. Desbrun, M. Meyer, P. Schroder, A.H.B. Caltech Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs implicit_time_integration: boolean if False: explicit time integration -lamb <= 1.0 - Stability Limit (Article 1) if True: implicit time integration -lamb no limit (Article 2) iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None NrT skip_inertiavolumegUUUUUU?)laplacian_calculationrverticescopyviewnpndarrayfacesshaperrangedotrr r)meshlamb iterationsimplicit_time_integrationvolume_constraintlaplacian_operatorvol_inirrdlapAA_indexr vol_news K/DATA/AppData/hermes/venv/lib/python3.11/site-packages/trimesh/smoothing.pyfilter_laplacianr-sSJ!2488+}!!##((44H JOO   " "2: . .E!A!'* YYT-?!?@ @ ##;;( -$((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 ) r!alphabetar#r&roriginalr*vert_qvert_bs r,filter_humphreyr8cs4!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 Nrr2)r!r"nur#r&rindexr s r, filter_taubinr=s.!2488}!!##((44Hz""!! $$X..9 19>> s "HH S HHDM Kr.c |t|}|r|j}|jt j}|jt j}dt j|j dzz}t|D])} t|} | |} || z } t j | | z t jd} dt jd| z } t jd|zt jd|| zt j| z }| |}||||z zz }|rDt%||d d }| d krt'||| ||}|| |z||z zz }+||_|S) a Smooth a mesh in-place using laplacian smoothing using a mutable diffusion laplacian. Articles Barroqueiro, B., Andrade-Campos, A., Dias-de-Oliveira, J., and Valente, R. (January 21, 2021). "Bridging between topology optimization and additive manufacturing via Laplacian smoothing." ASME. J. Mech. Des. Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None Ng{Gz?r)rr1g-q=g?Trrr)rrrrrrrrmax area_facesrget_vertices_normalsr absonesmaximumminimummeanr dilate_slope)r!r"r#r%r&v_inirrepsr*normalsqipi_qiadillamberr volslopes r,filter_mut_dif_laplacianrRs<!2488 }!!##((44H JOO   " "2: . .E "&))S0 1C ##88&t,,  # #H - -2 vw++BGFOO<<==RZt,,,C$J 3t bgdmm8S(T(TUU!$$X..FcHn--  8!(5/EEEhOC{{$XugsCHH %53;7 7HDM Kr.r! equal_weightpinned_verticesc |rtj|j}|d|jt j|j|<t j|j|f|_t j|j|f|_t j|jt j t|tf|_| d| dz }n|j}| |D]}|g||< |jtj t j|}t jdt%|D}t j d fd t%|D}t jd |D} t'| ||fft gd z }|S) al Calculate a sparse matrix for laplacian operations. Note that setting equal_weight to False significantly hampers performance. Parameters ------------- mesh : trimesh.Trimesh Input geometry equal_weight : bool If True, all neighbors will be considered equally If False, all neighbors will be weighted by inverse distance pinned_vertices : None or list of ints If None, no vertices are pinned If list, vertices will be pinned, such that they will not be moved Returns ---------- laplacian : scipy.sparse.coo.coo_matrix Laplacian operator NF)dtyper1r)axisc:g|]\}}|gt|zS)len).0ins r, z)laplacian_calculation..=s(LLLtq!qcCFFlLLLr.r?c g|]T\}}dtjdtjtj||z dzz US)r1gư>r:)rrEsqrtr )r[r\r]rDrs r,r^z)laplacian_calculation..Csm   1 jrwrvx{Xa[/HQ.NPT'U'UVVWW X   r.c<g|]}||z SrY)sum)r[r\s r,r^z)laplacian_calculation..Is$:::qq15577{:::r.r:)r)r edges_to_cooedgesdatarisinrow concatenatecolrDrZboolmultiplyrbvertex_neighborsrrr enumerater) r!rSrT laplacian neighborsr\rirgnormsrerDrs @@r,rrs20N&tz22  &FKIN279=/BB CNIM?+KLLIMNIM?+KLLIM^_)=)=T!J!J!JKIN&&sY]]]-B-B'BCC )   &$ # # !s ! =%%bj11nY''nLLy7K7KLLLMMwqzz     "),,    ~::E:::;;sCj1#h--19LMMM r.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_normalsr rZr r)r!rrrr vert_normalss r,rBrBQsO}H JE$L H u5599,GGL <  r.c\|||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)rrrKvrJ vertices2v2s r,rHrHks=&7S=(I 5) = = =h GB BF r.)rrFTN)r/rrN)rrrN)rrTN)TN)!numpyrtypedrr scipy.sparserrscipy.sparse.linalgr ImportErrorE exceptionsr wrapperr r baser geometryr rutilrr-r8r=rRrjrrBrHrYr.r,rs&&&&&&&&9,,,,,,,,+++++++999,,,,,,q!!G&C****** 9 """"""&&&&&& # KKKK\++++\))))ZOSCCCCP+/KK KKi(KKKK\!!!4sA?A