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igl/python/tutorial/401_BiharmonicDeformation.py
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Python
Executable File

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