import sys, os # Add the igl library to the modules search path sys.path.insert(0, os.getcwd() + "/../") import pyigl as igl from shared import TUTORIAL_SHARED_PATH, check_dependencies, print_usage dependencies = ["viewer"] check_dependencies(dependencies) def append_mesh(C_vis, F_vis, V_vis, V, F, color): F_vis.conservativeResize(F_vis.rows() + F.rows(), 3) F_vis.setBottomRows(F.rows(), F + V_vis.rows()) V_vis.conservativeResize(V_vis.rows() + V.rows(), 3) V_vis.setBottomRows(V.rows(), V) C_vis.conservativeResize(C_vis.rows() + F.rows(), 3) colorM = igl.eigen.MatrixXd(F.rows(), C_vis.cols()) colorM.rowwiseSet(color) C_vis.setBottomRows(F.rows(), colorM) def update(viewer): global V, F, T, W, slice_z, overlay plane = igl.eigen.MatrixXd([0, 0, 1, -((1 - slice_z) * V.col(2).minCoeff() + slice_z * V.col(2).maxCoeff())]) V_vis = igl.eigen.MatrixXd() F_vis = igl.eigen.MatrixXi() J = igl.eigen.MatrixXi() bary = igl.eigen.SparseMatrixd() igl.slice_tets(V, T, plane, V_vis, F_vis, J, bary) W_vis = igl.eigen.MatrixXd() igl.slice(W, J, W_vis) C_vis = igl.eigen.MatrixXd() igl.parula(W_vis, False, C_vis) if overlay == 1: # OVERLAY_INPUT append_mesh(C_vis, F_vis, V_vis, V, F, igl.eigen.MatrixXd([[1., 0.894, 0.227]])) elif overlay == 2: # OVERLAY_OUTPUT append_mesh(C_vis, F_vis, V_vis, V, F, igl.eigen.MatrixXd([[0.8, 0.8, 0.8]])) viewer.data.clear() viewer.data.set_mesh(V_vis, F_vis) viewer.data.set_colors(C_vis) viewer.data.set_face_based(True) def key_down(viewer, key, modifier): global overlay, slice_z if key == ord(' '): overlay = (overlay + 1) % 3 elif key == ord('.'): slice_z = min(slice_z + 0.01, 0.99) elif key == ord(','): slice_z = max(slice_z - 0.01, 0.01) update(viewer) return False if __name__ == "__main__": keys = {"space": "toggle showing input mesh, output mesh or slice through tet-mesh of convex hull", ". / ,": "push back/pull forward slicing plane"} print_usage(keys) V = igl.eigen.MatrixXd() BC = igl.eigen.MatrixXd() W = igl.eigen.MatrixXd() T = igl.eigen.MatrixXi() F = igl.eigen.MatrixXi() G = igl.eigen.MatrixXi() slice_z = 0.5 overlay = 0 # Load mesh: (V,T) tet-mesh of convex hull, F contains facets of input # surface mesh _after_ self-intersection resolution igl.readMESH(TUTORIAL_SHARED_PATH + "big-sigcat.mesh", V, T, F) # Compute barycenters of all tets igl.barycenter(V, T, BC) # Compute generalized winding number at all barycenters print("Computing winding number over all %i tets..." % T.rows()) igl.winding_number(V, F, BC, W) # Extract interior tets Wt = sum(W > 0.5) CT = igl.eigen.MatrixXi(Wt, 4) k = 0 for t in range(T.rows()): if W[t] > 0.5: CT.setRow(k, T.row(t)) k += 1 # find bounary facets of interior tets igl.boundary_facets(CT, G) # boundary_facets seem to be reversed... G = G.rowwiseReverse() # normalize W = (W - W.minCoeff()) / (W.maxCoeff() - W.minCoeff()) # Plot the generated mesh viewer = igl.viewer.Viewer() update(viewer) viewer.callback_key_down = key_down viewer.launch()