:vj/ddlZddlmZ ddlmZmZddlmZddlmZmZddlmZdd lmZdd lmZdd lmZ dd Zdd ZddZ ddZ ddedededzfdZdZdZy#e $rZ ddl m Z e e Z e e e cZZZYdZ [ ldZ [ wwxYw)N) ArrayLike) coo_matrixeye)spsolve)ExceptionWrapper)graph triangles)Trimesh) index_sparsemass_properties)unitizecv| t|}|r|j}|j}|jj j t j}|jj j t j} |r,|jd} t| |t| |z zz} t|D]`} |s|j||z } ||| zz }n t |}|s1tj|| dd}|z dz}|z |z|z}b||_|S)a Smooth a mesh in-place using laplacian smoothing. Articles 1 - "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller 2 - "Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow". M. Desbrun, M. Meyer, P. Schroder, A.H.B. Caltech Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs implicit_time_integration: boolean if False: explicit time integration -lamb <= 1.0 - Stability Limit (Article 1) if True: implicit time integration -lamb no limit (Article 2) iterations : int Number of passes to run filter volume_constraint : bool If True, restore the initial volume after each iteration by rescaling about the mesh center of mass laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None rT skip_inertiavolumegUUUUUU?)laplacian_calculationr center_massverticescopyviewnpndarrayfacesshaperrangedotrr r)meshlamb iterationsimplicit_time_integrationvolume_constraintlaplacian_operatorvol_inirrrdlapAA_indexrvol_newscales b/workspace/moltex-experiments/.pixi/envs/default/lib/python3.12/site-packages/trimesh/smoothing.pyfilter_laplacianr,s>P!248++&& }}!!#((4H JJOO  " "2:: .E!!''* YT-?!?@ @ #($((2X=C s "Hr8,H //dSGw&I6E ;.%7+EH%$*DM Kc| t|}|jjjtj }|j}t |D]T}|j}|j|}|||zd|z |zzz } ||| zd|z |j| zzz}V||_|S)a Smooth a mesh in-place using laplacian smoothing and Humphrey filtering. Articles "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place alpha : float Controls shrinkage, range is 0.0 - 1.0 If 0.0, not considered If 1.0, no smoothing beta : float Controls how aggressive smoothing is If 0.0, no smoothing If 1.0, full aggressiveness iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None ?rrrrrrrr) ralphabetar!r$roriginalr(vert_qvert_bs r+filter_humphreyr6hs4!248}}!!#((4H}}H #%))(3UX-u0FFGD6MS4Z3E3I3I&3Q$QQQ $DM Kr-c| t|}|jjjtj }t |D]/}|j||z }|dzdk(r |||zz }(|||zz}1||_|S)a Smooth a mesh in-place using laplacian smoothing and taubin filtering. Articles "Improved Laplacian Smoothing of Noisy Surface Meshes" J. Vollmer, R. Mencl, and H. Muller Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place. lamb : float Controls shrinkage, range is 0.0 - 1.0 nu : float Controls dilation, range is 0.0 - 1.0 Nu shall be between 0.0 < 1.0/lambda - 1.0/nu < 0.1 iterations : int Number of passes to run the filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None rr0)rr nur!r$rindexrs r+ filter_taubinr;s.!248}}!!#((4Hz" $$X.9 19> s "H S H#DM Kr-c | t|}|r |j}|jjj t j }|jjj t j }dt j|jdzz}t|D]} t|} |j|} || z } t j| | zjt jd} dt jd| z } t jd|zt j d|| zt j"| z }|j|}||||z zz }|st%||dd }| d k(rt'||| ||}|| z|z zz }||_|S) a Smooth a mesh in-place using laplacian smoothing using a mutable diffusion laplacian. Articles Barroqueiro, B., Andrade-Campos, A., Dias-de-Oliveira, J., and Valente, R. (January 21, 2021). "Bridging between topology optimization and additive manufacturing via Laplacian smoothing." ASME. J. Mech. Des. Parameters ------------ mesh : trimesh.Trimesh Mesh to be smoothed in place lamb : float Diffusion speed constant If 0.0, no diffusion If > 0.0, diffusion occurs iterations : int Number of passes to run filter laplacian_operator : None or scipy.sparse.coo.coo_matrix Sparse matrix laplacian operator Will be autogenerated if None g{Gz??)rr/g-q=g?Trrr)rrrrrrrrmax area_facesrget_vertices_normalsrabsonesmaximumminimummeanr dilate_slope)rr r!r#r$v_inirrepsr(normalsqipi_qiadillamberrvolslopes r+filter_mut_dif_laplacianrQs<!248 }}!!#((4H JJOO  " "2:: .E "&&)S0 1C #&t,  # #H -2 vvw++BGGFO<=RZZt,,C$J 3t bggdm8S(TU!$$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|_||jdz }|S|j}| |D]}|g||< |jjtj }t j|}t jt#|Dcgc]\}}|gt|zc}}} t jd} t#|Dcgc]Q\}}dt j$dt j&t j(||||z dz| z S} }}t j| Dcgc]}||jz c}} t+| | |fft|gdz }|Scc}}wcc}}wcc}w) al Calculate a sparse matrix for laplacian operations. Note that setting equal_weight to False significantly hampers performance. Parameters ------------- mesh : trimesh.Trimesh Input geometry equal_weight : bool If True, all neighbors will be considered equally If False, all neighbors will be weighted by inverse distance pinned_vertices : None or list of ints If None, no vertices are pinned If list, vertices will be pinned, such that they will not be moved Returns ---------- laplacian : scipy.sparse.coo.coo_matrix Laplacian operator F)dtyper)axisr>r/gư>r8)r)r edges_to_cooedgesdatarisinrow concatenatecolrClenboolsumvertex_neighborsrrr enumeraterDsqrtrr) rrRrS laplacian neighborsirr]nr[rCnormsrYs r+rrs2&&tzz2  &FKINN2779==/B CNNIMM?+KLIMNNIMM?+KLIM^^_)=T!JKIN 1 55 D =))   &$ !s ! %==%%bjj1nnY'nny7KL7Ktq!qcCFl7KLMwwqz "), -1 jjrwwrvvx{Xa[/HQ.NPT'UVW X,  ~~E:Eqq1557{E:;sCj1#h-19LM #M  ;s2I# 6AI)"I/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+rArARsK}}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 )rrrJvrI vertices2v2s r+rGrGls7&7S=(I 5) =h GB BF r-)r= FTN)g?r=rpN)r=r=rpN)r=rpTN)TN) numpyrtypedr scipy.sparserrscipy.sparse.linalgr ImportErrorE exceptionsrwrapperr r baser geometryr rutilrr,r6r;rQr_rrArGr-r+r~s9,+"& # Pf+\)ZOSCP(,G GG%GT!4I 9,q!G&C* 9sA''B ,BB