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+import igl
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+
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+
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+bc_frac = 1.0
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+bc_dir = -0.03
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+deformation_field = False
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+
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+V = igl.eigen.MatrixXd()
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+U = igl.eigen.MatrixXd()
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+V_bc = igl.eigen.MatrixXd()
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+U_bc = igl.eigen.MatrixXd()
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+
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+# Z = igl.eigen.MatrixXd()
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+F = igl.eigen.MatrixXi()
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+b = igl.eigen.MatrixXi()
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+
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+def pre_draw(viewer):
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+ global V, bc_frac, bc_dir, U, U_bc, V_bc, b, deformation_field
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+ # Determine boundary conditions
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+ if (viewer.core.is_animating):
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+ bc_frac += bc_dir
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+ bc_dir *= (-1.0 if bc_frac>=1.0 or bc_frac <= 0.0 else 1.0)
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+
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+ U_bc_anim = V_bc+bc_frac*(U_bc-V_bc)
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+
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+ if (deformation_field):
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+ D = igl.eigen.MatrixXd()
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+ D_bc = U_bc_anim - V_bc
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+ igl.harmonic(V,F,b,D_bc,2,D)
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+ U = V+D;
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+ else:
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+ D = igl.eigen.MatrixXd()
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+ igl.harmonic(V,F,b,U_bc_anim,2,D)
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+ U = D
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+ # global U
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+ # igl.harmonic(V,F,b,U_bc_anim,2,U)
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+
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+ viewer.data.set_vertices(U)
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+ viewer.data.compute_normals()
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+ return False
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+
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+def key_down(viewer, key, mods):
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+ global deformation_field
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+
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+ if key == ord(' '):
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+ viewer.core.is_animating = not viewer.core.is_animating
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+ return True
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+ if key == ord('D') or key == ord('d'):
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+ deformation_field = not deformation_field;
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+ return True
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+ return False
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+
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+
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+igl.readOBJ("../tutorial/shared/decimated-max.obj",V,F)
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+U=V
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+
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+# S(i) = j: j<0 (vertex i not in handle), j >= 0 (vertex i in handle j)
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+S = igl.eigen.MatrixXd()
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+igl.readDMAT("../tutorial/shared/decimated-max-selection.dmat",S)
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+
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+S = S.castint()
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+
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+b = igl.eigen.MatrixXi([[t[0] for t in [(i,S[i]) for i in range(0,V.rows())] if t[1] >= 0]]).transpose()
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+
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+# Boundary conditions directly on deformed positions
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+U_bc.resize(b.rows(),V.cols())
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+V_bc.resize(b.rows(),V.cols())
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+
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+for bi in range(0,b.rows()):
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+ V_bc.setRow(bi,V.row(b[bi]))
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+
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+ if (S[b[bi]] == 0):
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+ # Don't move handle 0
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+ U_bc.setRow(bi,V.row(b[bi]))
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+ elif S[b[bi]] == 1:
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+ # Move handle 1 down
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+ U_bc.setRow(bi,V.row(b[bi]) + igl.eigen.MatrixXd([[0,-50,0]]))
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+ else:
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+ # Move other handles forward
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+ U_bc.setRow(bi,V.row(b[bi]) + igl.eigen.MatrixXd([[0,0,-25]]))
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+
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+# Pseudo-color based on selection
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+C = igl.eigen.MatrixXd(F.rows(),3)
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+purple = igl.eigen.MatrixXd([[80.0/255.0,64.0/255.0,255.0/255.0]])
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+gold = igl.eigen.MatrixXd([[255.0/255.0,228.0/255.0,58.0/255.0]])
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+
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+for f in range(0,F.rows()):
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+ if (S[F[f,0]])>=0 and S[F[f,1]]>=0 and S[F[f,2]]>=0:
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+ C.setRow(f,purple)
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+ else:
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+ C.setRow(f,gold)
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+
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+# Plot the mesh with pseudocolors
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+viewer = igl.viewer.Viewer()
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+viewer.data.set_mesh(U, F)
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+viewer.core.show_lines = False
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+viewer.data.set_colors(C)
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+# viewer.core.trackball_angle = igl.eigen.Quaterniond(sqrt(2.0),0,sqrt(2.0),0)
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+# viewer.core.trackball_angle.normalize()
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+
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+viewer.callback_pre_draw = pre_draw
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+viewer.callback_key_down = key_down
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+
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+viewer.core.animation_max_fps = 30.0
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+print("Press [space] to toggle deformation.")
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+print("Press 'd' to toggle between biharmonic surface or displacements.")
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+viewer.launch()
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