update: inside/outside detection does not work properly
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field.py
248
field.py
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@ -714,12 +714,6 @@ class Features3d:
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if report: print('[Features3d.triangulate] computing isocontour using {}...'.format(contour_method))
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if report: print('[Features3d.triangulate] computing isocontour using {}...'.format(contour_method))
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contour = datavtk.contour([self._threshold],method=contour_method,compute_scalars=False,compute_gradients=True)
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contour = datavtk.contour([self._threshold],method=contour_method,compute_scalars=False,compute_gradients=True)
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assert contour.is_all_triangles(), "Contouring produced non-triangle cells."
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assert contour.is_all_triangles(), "Contouring produced non-triangle cells."
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# print(contour.point_arrays['Gradients'].shape)
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# print('gradient',time()-t)
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# print(np.sum(gn>0),'of',len(gn))
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# Compute the connectivity of the triangulated surface: first we run an ordinary
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# Compute the connectivity of the triangulated surface: first we run an ordinary
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# connectivity filter neglecting periodic wrapping.
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# connectivity filter neglecting periodic wrapping.
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if report: print('[Features3d.triangulate] computing connectivity...')
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if report: print('[Features3d.triangulate] computing connectivity...')
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@ -767,70 +761,38 @@ class Features3d:
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while target_ != map_[target_]: # map it recursively
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while target_ != map_[target_]: # map it recursively
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target_ = map_[target_]
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target_ = map_[target_]
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map_[source_] = target_
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map_[source_] = target_
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#
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map_ = np.unique(map_,return_inverse=True)[1]
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map_ = np.unique(map_,return_inverse=True)[1]
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point_labels = map_[point_labels]
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point_labels = map_[point_labels]
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self._nfeatures = np.max(map_)+1 # starts with zero
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self._nfeatures = np.max(map_)+1 # starts with zero
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# Labels are now stored as point data. To efficiently convert it to cell data, the first
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# Labels are now stored as point data. To efficiently convert it to cell data, the first
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# point of each cell determines the value for this cell.
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# point of each cell determines the value for this cell.
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if report: print('[Features3d.triangulate] identifying cell based labels...')
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if report: print('[Features3d.triangulate] sorting faces by labels...')
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cell_labels = point_labels[contour.faces.reshape(contour.n_faces,4)[:,1]]
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cell_labels = point_labels[contour.faces.reshape(contour.n_faces,4)[:,1]]
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cell_gradient = contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1]]
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offset = np.zeros((self._nfeatures+1,),dtype=np.int64)
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print(cell_gradient.shape)
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offset[1:] = np.cumsum(np.bincount(cell_labels))
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# We are done with VTK for now. Since we are only dealing with triangles, let us
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ind = np.argsort(cell_labels)
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# store them in a structure which is quicker to access and already sorted based
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self._offset = offset
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# on labels.
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self._faces = contour.faces.reshape(contour.n_faces,4)[ind,:]
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# _vertices has dim(ncells,nvert,ndim), where nvert=3 (three vertices per triangle)
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self._points = contour.points
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# and ndim=3 (three dimensional coordinates)
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# self._offset = offset
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# _offset is the cumulative number of cells for each feature and the offset to
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# self._faces = contour.faces.reshape(contour.n_faces,4)
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# access the _vertices array by feature.
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# self._points = contour.points
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if report: print('[Features3d.triangulate] storing vertices...')
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ind = np.argsort(cell_labels)
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self._offset = np.zeros((self._nfeatures+1,),dtype=np.int64)
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self._offset[1:] = np.cumsum(np.bincount(cell_labels))
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self._vertices = contour.points[contour.faces.reshape(contour.n_faces,4)[ind,1:]]
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# Compute the volume and area per cell. For the volume computation, an arbitrary component
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# Compute the volume and area per cell. For the volume computation, an arbitrary component
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# of the normal has to be chosen which defaults to the z-component and is set by
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# of the normal has to be chosen which defaults to the z-component and is set by
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# 'cellvol_normal_component'.
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# 'cellvol_normal_component'.
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if report: print('[Features3d.triangulate] calculating area and volume per cell...')
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if report: print('[Features3d.triangulate] calculating area and volume per cell...')
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A = self._vertices[:,0,:]
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A = self._points[self._faces[:,1],:]
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B = self._vertices[:,1,:]
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B = self._points[self._faces[:,2],:]
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C = self._vertices[:,2,:]
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C = self._points[self._faces[:,3],:]
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cn = np.cross(B-A,C-A)
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cn = np.cross(B-A,C-A)
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# Check if cell normal points in direction of gradient. If not, switch vertex order.
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idx = (contour.point_arrays['Gradients'][self._faces[:,1],:]*cn).sum(axis=-1)<0
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self._faces[np.ix_(idx,[2,3])] = self._faces[np.ix_(idx,[3,2])]
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cn[idx] = -cn[idx]
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# Compute area and signed volume per cell
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cc = (A+B+C)/3
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cc = (A+B+C)/3
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# print(contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1:]].shape)
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cg = (contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1:]][:,0,:]+
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contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1:]][:,1,:]+
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contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1:]][:,2,:])/3
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ng = (cg*cn).sum(axis=-1)
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print('interpolated:')
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print(cg)
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print('component 0:')
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print(contour.point_arrays['Gradients'][contour.faces.reshape(contour.n_faces,4)[:,1:]][:,0,:])
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print('projection')
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print(sum(ng>0),len(ng))
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# self.cg = cg
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# self.cc = cc
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self.cg = contour.point_arrays['Gradients']
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self.cc = contour.points
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# .sum(axis=1))/3)*cn).sum(axis=-1)
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self._cell_areas = 0.5*np.sqrt(np.square(cn).sum(axis=1))
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self._cell_areas = 0.5*np.sqrt(np.square(cn).sum(axis=1))
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self._cell_volumes = 0.5*cn[:,cellvol_normal_component]*cc[:,cellvol_normal_component]
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self._cell_volumes = 0.5*cn[:,cellvol_normal_component]*cc[:,cellvol_normal_component]
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# # Compute gradient of field at cell center to get correct cell normal direction
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# t = time()
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# cn = cn/np.sqrt(np.square(cn).sum())
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# ccpix = ((cc-self.origin)/self.spacing).transpose()
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# ccnpix = (((cc+1e-4*cn)-self.origin)/self.spacing).transpose()
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# val_cc = ndimage.map_coordinates(self._input,ccpix,order=1,prefilter=False)
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# val_ccn = ndimage.map_coordinates(self._input,ccnpix,order=1,prefilter=False)
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# gn = (val_ccn-val_cc)
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# print('gradient',time()-t)
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# print(cg)
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# print(np.sum(cg>0),'of',cg.shape)
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# stop
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return
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return
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@property
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@property
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@ -859,7 +821,7 @@ class Features3d:
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self.discard_features(np.flatnonzero(np.abs(self.volumes())<threshold),report=report)
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self.discard_features(np.flatnonzero(np.abs(self.volumes())<threshold),report=report)
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return
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return
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def discard_features(self,features,report=False):
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def discard_features(self,features,clean_points=False,report=False):
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'''Removes features from triangulated data.'''
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'''Removes features from triangulated data.'''
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features = self.list_of_features(features)
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features = self.list_of_features(features)
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# Get index ranges which are to be deleted and also create an array
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# Get index ranges which are to be deleted and also create an array
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@ -872,9 +834,9 @@ class Features3d:
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gapsize[feature] = len(rng_)
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gapsize[feature] = len(rng_)
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idx = np.concatenate(idx,axis=0)
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idx = np.concatenate(idx,axis=0)
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# Save former number of faces for report
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# Save former number of faces for report
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ncells = self._vertices.shape[0]
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nfaces = self._faces.shape[0]
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# Delete indexed elements from arrays
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# Delete indexed elements from arrays
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self._vertices = np.delete(self._vertices,idx,axis=0)
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self._faces = np.delete(self._faces,idx,axis=0)
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self._cell_areas = np.delete(self._cell_areas,idx,axis=0)
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self._cell_areas = np.delete(self._cell_areas,idx,axis=0)
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self._cell_volumes = np.delete(self._cell_volumes,idx,axis=0)
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self._cell_volumes = np.delete(self._cell_volumes,idx,axis=0)
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# Correct offset
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# Correct offset
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@ -884,7 +846,20 @@ class Features3d:
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if report:
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if report:
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print('[Features3d.discard_features]',end=' ')
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print('[Features3d.discard_features]',end=' ')
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print('discarded {:} features with {:} faces.'.format(
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print('discarded {:} features with {:} faces.'.format(
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len(features),ncells-self._vertices.shape[0]))
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len(features),nfaces-self._faces.shape[0]))
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if clean_points:
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self.clean_points(report=report)
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return
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def clean_points(self,report=False):
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'''Removes points which are not referenced by any face.'''
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nfaces = self._faces.shape[0]
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ind,inv = np.unique(self._faces[:,1:],return_inverse=True)
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if report:
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print('[Features3d.clean_points]',end=' ')
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print('removed {:} orphan points.'.format(self._points.shape[0]-len(ind)))
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self._faces[:,1:4] = inv.reshape(nfaces,3)
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self._points = self._points[ind,:]
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return
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return
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def area(self,feature):
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def area(self,feature):
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@ -915,26 +890,26 @@ class Features3d:
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'''Builds a KD-tree for feature search.'''
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'''Builds a KD-tree for feature search.'''
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from scipy import spatial
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from scipy import spatial
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if kdaxis==0:
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if kdaxis==0:
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min1 = np.amin(self._vertices[:,:,1],axis=1)
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min1 = np.amin(self._points[self._faces[:,1:],1],axis=1)
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max1 = np.amax(self._vertices[:,:,1],axis=1)
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max1 = np.amax(self._points[self._faces[:,1:],1],axis=1)
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min2 = np.amin(self._vertices[:,:,2],axis=1)
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min2 = np.amin(self._points[self._faces[:,1:],2],axis=1)
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max2 = np.amax(self._vertices[:,:,2],axis=1)
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max2 = np.amax(self._points[self._faces[:,1:],2],axis=1)
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elif kdaxis==1:
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elif kdaxis==1:
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min1 = np.amin(self._vertices[:,:,0],axis=1)
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min1 = np.amin(self._points[self._faces[:,1:],0],axis=1)
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max1 = np.amax(self._vertices[:,:,0],axis=1)
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max1 = np.amax(self._points[self._faces[:,1:],0],axis=1)
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min2 = np.amin(self._vertices[:,:,2],axis=1)
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min2 = np.amin(self._points[self._faces[:,1:],2],axis=1)
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max2 = np.amax(self._vertices[:,:,2],axis=1)
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max2 = np.amax(self._points[self._faces[:,1:],2],axis=1)
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elif kdaxis==2:
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elif kdaxis==2:
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min1 = np.amin(self._vertices[:,:,0],axis=1)
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min1 = np.amin(self._points[self._faces[:,1:],0],axis=1)
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max1 = np.amax(self._vertices[:,:,0],axis=1)
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max1 = np.amax(self._points[self._faces[:,1:],0],axis=1)
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min2 = np.amin(self._vertices[:,:,1],axis=1)
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min2 = np.amin(self._points[self._faces[:,1:],1],axis=1)
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max2 = np.amax(self._vertices[:,:,1],axis=1)
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max2 = np.amax(self._points[self._faces[:,1:],1],axis=1)
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else:
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else:
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raise ValueError("Invalid ray axis.")
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raise ValueError("Invalid kdaxis.")
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center = np.stack((0.5*(max1+min1),0.5*(max2+min2)),axis=1)
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center = np.stack((0.5*(max1+min1),0.5*(max2+min2)),axis=1)
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radius = 0.5*np.amax(np.sqrt((max1-min1)**2+(max2-min2)**2))
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radius = 0.5*np.amax(np.sqrt((max1-min1)**2+(max2-min2)**2))
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self._kdtree = spatial.KDTree(center,leafsize=leafsize,compact_nodes=compact_nodes,
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self._kdtree = spatial.KDTree(center,leafsize=leafsize,compact_nodes=compact_nodes,
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copy_data=False,balanced_tree=balanced_tree)
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copy_data=False,balanced_tree=balanced_tree)
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self._kdaxis = kdaxis
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self._kdaxis = kdaxis
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self._kdradius = radius
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self._kdradius = radius
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if report:
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if report:
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@ -965,54 +940,50 @@ class Features3d:
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if not self._kdtree:
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if not self._kdtree:
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self.build_kdtree()
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self.build_kdtree()
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if self._kdaxis==0: query_axis = [1,2]
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if self._kdaxis==0: query_axis = [1,2]
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elif self._kdaxis==1: query_axis = [0,2]
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elif self._kdaxis==1: query_axis = [0,2]
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elif self._kdaxis==2: query_axis = [0,1]
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elif self._kdaxis==2: query_axis = [0,1]
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cand = self._kdtree.query_ball_point(coords[:,query_axis],self._kdradius)
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cand = self._kdtree.query_ball_point(coords[:,query_axis],self._kdradius)
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if coords.shape[0]>12279:
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print('Point coordinates:',coords[12279,:])
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Ncoord = coords.shape[0]
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Ncoord = coords.shape[0]
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raydir = np.zeros((3,),dtype=self._vertices.dtype)
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raydir = np.zeros((3,),dtype=self._points.dtype)
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raydir[self._kdaxis] = 1.0
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raydir[self._kdaxis] = 1.0
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in_feat = np.empty((Ncoord,),dtype=np.int)
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in_feat = np.empty((Ncoord,),dtype=np.int)
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is_hit = np.empty((Ncoord,),dtype=np.int)
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is_hit = np.empty((Ncoord,),dtype=np.int)
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hit_dir_ = np.empty((Ncoord,),dtype=np.int)
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hit_dir_ = np.empty((Ncoord,),dtype=np.int)
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face_ = np.empty((Ncoord,),dtype=np.int)
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face_ = np.empty((Ncoord,),dtype=np.int)
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print('point 12156 = ',coords[12156])
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for ii in range(Ncoord):
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for ii in range(Ncoord):
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hit_idx,t,hit_dir = Features3d.ray_triangle_intersection(coords[ii],raydir,
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hit_idx,t,hit_dir = Features3d.ray_triangle_intersection(coords[ii],raydir,
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self._vertices[cand[ii],0,:],
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self._points[self._faces[cand[ii],1],:],
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self._vertices[cand[ii],1,:],
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self._points[self._faces[cand[ii],2],:],
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self._vertices[cand[ii],2,:])
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self._points[self._faces[cand[ii],3],:])
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# if ii==12279: print('DEBUG',hit_idx,t,N)
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# if ii==12279: print('DEBUG',hit_idx,t,N)
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if ii==12156: print('DEBUG',hit_idx,t,hit_dir)
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if hit_idx is None:
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if hit_idx is None:
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in_feat[ii] = -1
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in_feat[ii] = -1
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is_hit[ii] = -1
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hit_dir_[ii]= 0
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face_[ii] = -1
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else:
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else:
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idx = np.argmin(np.abs(t))
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idx = np.argmin(np.abs(t))
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# print(cand[ii][hit_idx[idx]])
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if ii==12156:
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if ii==12279:
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for kk in hit_idx:
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# print(cand[ii][idx],N[idx,:],N[idx,:]/np.sqrt(np.square(N[idx,:]).sum()),(N[idx,:]*raydir).sum(axis=-1),t[idx]*(N[idx,:]*raydir).sum(axis=-1))
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print(cand[ii][kk])
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print(t[idx],hit_dir[idx],raydir)
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# print(self._points[self._faces[cand[ii][hit_idx[idx]],1:],:])
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print(self._vertices[cand[ii][hit_idx[idx]],:,:])
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# print(cand[ii][hit_idx[idx]])
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hit_dir_[ii]= hit_dir[idx]
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# ifeat = self.feature_from_face(cand[ii][hit_idx[idx]])
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face_[ii] = cand[ii][hit_idx[idx]]
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# print(self._offset[ifeat],self._offset[ifeat+1])
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if hit_dir[idx]<0:
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# stop
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in_feat[ii] = self.feature_from_cellidx(cand[ii][hit_idx[idx]])
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# if hit_dir[idx]>0:
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is_hit[ii] = 1
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# in_feat[ii] = self.feature_from_face(cand[ii][hit_idx[idx]])
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else:
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# else:
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in_feat[ii] = -1
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# in_feat[ii] = -1
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is_hit[ii] = 0
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if report:
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if report:
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print('[Features3d.inside_feature]',end=' ')
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print('[Features3d.inside_feature]',end=' ')
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print('{} of {} points are located inside of features.'.format(sum(in_feat>=0),Ncoord))
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print('{} of {} points are located inside of features.'.format(sum(in_feat>=0),Ncoord))
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return in_feat #,is_hit,hit_dir_,face_
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return in_feat
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def feature_from_cellidx(self,idx_cell):
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def feature_from_face(self,idx_cell):
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'''Gets feature ID for a given cell.'''
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'''Gets feature ID for a given cell.'''
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# This is an optimized solution for monotonically increasing arrays:
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# This is an optimized solution for monotonically increasing arrays:
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# as long as offset is smaller than the cell index, the boolean operation
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# as long as offset is smaller than the cell index, the boolean operation
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@ -1020,13 +991,13 @@ class Features3d:
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# as soon as idx_cell is equal or larger than offset, the argmax function
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# as soon as idx_cell is equal or larger than offset, the argmax function
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# short circuits and returns the index of the first occurence without
|
# short circuits and returns the index of the first occurence without
|
||||||
# checking any value afterwards.
|
# checking any value afterwards.
|
||||||
return np.argmax(self._offset>=idx_cell)
|
return np.searchsorted(self._offset,idx_cell,side='right')-1
|
||||||
|
|
||||||
def cellidx_from_feature(self,features,concat=True):
|
def faces_from_feature(self,features,concat=True):
|
||||||
'''Returns indices of cells which belong to given features.'''
|
'''Returns indices of cells which belong to given features.'''
|
||||||
from collections.abc import Iterable
|
from collections.abc import Iterable
|
||||||
if features is None:
|
if features is None:
|
||||||
idx = None
|
idx = slice(None)
|
||||||
elif not isinstance(features,Iterable):
|
elif not isinstance(features,Iterable):
|
||||||
idx = slice(self._offset[features],self._offset[features+1])
|
idx = slice(self._offset[features],self._offset[features+1])
|
||||||
elif concat:
|
elif concat:
|
||||||
|
|
@ -1034,7 +1005,10 @@ class Features3d:
|
||||||
for feature in features:
|
for feature in features:
|
||||||
rng_ = np.arange(self._offset[feature],self._offset[feature+1])
|
rng_ = np.arange(self._offset[feature],self._offset[feature+1])
|
||||||
idx.append(rng_)
|
idx.append(rng_)
|
||||||
idx = np.concatenate(idx,axis=0)
|
if len(idx)==1:
|
||||||
|
idx = np.array(idx)
|
||||||
|
else:
|
||||||
|
idx = np.concatenate(idx,axis=0)
|
||||||
else:
|
else:
|
||||||
idx = []
|
idx = []
|
||||||
for feature in features:
|
for feature in features:
|
||||||
|
|
@ -1042,7 +1016,7 @@ class Features3d:
|
||||||
idx.append(rng_)
|
idx.append(rng_)
|
||||||
return idx
|
return idx
|
||||||
|
|
||||||
def ncells_from_feature(self,features):
|
def nfaces_of_feature(self,features):
|
||||||
'''Returns number of cells which belong to given features. Can be used
|
'''Returns number of cells which belong to given features. Can be used
|
||||||
to construct new offsets.'''
|
to construct new offsets.'''
|
||||||
features = self.list_of_features(features)
|
features = self.list_of_features(features)
|
||||||
|
|
@ -1136,27 +1110,8 @@ class Features3d:
|
||||||
if len(hit_idx)==0: return (None,None,None)
|
if len(hit_idx)==0: return (None,None,None)
|
||||||
# Intersection point is R+t*dR
|
# Intersection point is R+t*dR
|
||||||
t = (AO[hit_idx,:]*N[hit_idx,:]).sum(axis=-1)*invdet[hit_idx]
|
t = (AO[hit_idx,:]*N[hit_idx,:]).sum(axis=-1)*invdet[hit_idx]
|
||||||
return hit_idx,t,np.sign(t)*np.sign(det[hit_idx])
|
# return hit_idx,t,np.sign(t)*np.sign(det[hit_idx])
|
||||||
|
return hit_idx,t,N[hit_idx]
|
||||||
def faces_points_representation(self,features,reduce_points=False):
|
|
||||||
from collections.abc import Iterable
|
|
||||||
# Select relevant cells
|
|
||||||
idx = self.cellidx_from_feature(features)
|
|
||||||
if reduce_points:
|
|
||||||
points,faces_ = np.unique(self._vertices[idx,:,:].reshape(-1,3),return_inverse=True,axis=0)
|
|
||||||
ncells = faces_.shape[0]//3
|
|
||||||
faces = np.empty((ncells,4),dtype=np.int)
|
|
||||||
faces[:,0] = 3
|
|
||||||
faces[:,1:] = faces_.reshape(ncells,3)
|
|
||||||
print('reduced:',faces.shape)
|
|
||||||
else:
|
|
||||||
points = self._vertices[idx,:,:].reshape((-1,3))
|
|
||||||
ncells = points.shape[0]//3
|
|
||||||
faces = np.empty((ncells,4),dtype=np.int)
|
|
||||||
faces[:,0] = 3
|
|
||||||
faces[:,1:] = np.arange(0,3*ncells).reshape(ncells,3)
|
|
||||||
print('full:',faces.shape)
|
|
||||||
return faces,points
|
|
||||||
|
|
||||||
def cmap_features(self,nfeatures,name='tab10'):
|
def cmap_features(self,nfeatures,name='tab10'):
|
||||||
from matplotlib.colors import ListedColormap
|
from matplotlib.colors import ListedColormap
|
||||||
|
|
@ -1181,24 +1136,31 @@ class Features3d:
|
||||||
icolor = (icolor+1)%ncolor
|
icolor = (icolor+1)%ncolor
|
||||||
return ListedColormap(output)
|
return ListedColormap(output)
|
||||||
|
|
||||||
def to_vtk(self,features,reduce_points=False,store_labels=False,remap_labels=False):
|
def to_vtk(self,features):
|
||||||
'''Returns a VTK/pyvista object for the isocontour of a single feature,
|
|
||||||
list of features, or the full isocontour (when None is passed).'''
|
|
||||||
import pyvista as pv
|
import pyvista as pv
|
||||||
faces,points = self.faces_points_representation(features,reduce_points=reduce_points)
|
idx = self.faces_from_feature(features)
|
||||||
output = pv.PolyData(points,faces)
|
return pv.PolyData(self._points,self._faces[idx,:])
|
||||||
if store_labels:
|
|
||||||
output.cell_arrays['label'] = np.empty(faces.shape[0],dtype=np.int)
|
def to_vtk2(self,features):
|
||||||
offset = 0
|
import pyvista as pv
|
||||||
for ii,feature in enumerate(self.list_of_features(features)):
|
idx = self.faces_from_feature(features)
|
||||||
ncells = self.ncells_from_feature(feature)
|
faces_ = self._faces[idx,:]
|
||||||
if remap_labels:
|
A = self._points[faces_[:,1],:]
|
||||||
output.cell_arrays['label'][offset:offset+ncells] = ii
|
B = self._points[faces_[:,2],:]
|
||||||
else:
|
C = self._points[faces_[:,3],:]
|
||||||
output.cell_arrays['label'][offset:offset+ncells] = feature
|
cn = np.cross(B-A,C-A)
|
||||||
offset += ncells
|
cn = cn/np.sqrt(np.square(cn).sum(axis=-1,keepdims=True))
|
||||||
|
cc = (A+B+C)/3
|
||||||
|
# print(A[0,:],B[0,:],C[0,:],cn[0,:])
|
||||||
|
# print(A.shape,B.shape,C.shape,cn.shape,faces_.shape,self._faces.shape)
|
||||||
|
output = pv.PolyData(cc)
|
||||||
|
output['cellnormal'] = cn
|
||||||
return output
|
return output
|
||||||
|
|
||||||
|
def vtk_faces(self,face_idx):
|
||||||
|
import pyvista as pv
|
||||||
|
return pv.PolyData(self._points,self._faces[face_idx,:])
|
||||||
|
|
||||||
class BinaryFieldNd:
|
class BinaryFieldNd:
|
||||||
def __init__(self,input,periodicity,connect_diagonals=False,deep=False,has_ghost=False):
|
def __init__(self,input,periodicity,connect_diagonals=False,deep=False,has_ghost=False):
|
||||||
assert isinstance(input,np.ndarray) and input.dtype==bool,\
|
assert isinstance(input,np.ndarray) and input.dtype==bool,\
|
||||||
|
|
|
||||||
Loading…
Reference in New Issue