def solve(viewer):
global Q, B, b, bc, Aeq, Beq, Aieq, Bieq, lx, ux, Z
params = igl.active_set_params()
params.max_iter = 8
igl.active_set(Q, B, b, bc, Aeq, Beq, Aieq, Bieq, lx, ux, params, Z)
C = igl.eigen.MatrixXd()
igl.jet(Z, 0, 1, C)
viewer.data.set_colors(C)
def solve(viewer):
global Q,B,b,bc,Aeq,Beq,Aieq,Bieq,lx,ux,Z
params = igl.active_set_params()
params.max_iter = 8
igl.active_set(Q,B,b,bc,Aeq,Beq,Aieq,Bieq,lx,ux,params,Z)
C = igl.eigen.MatrixXd()
igl.jet(Z,0,1,C)
viewer.data.set_colors(C)
def key_down(viewer, key, modifier):
if key < ord('1') or key > ord('8'):
return False
viewer.data.lines.resize(0, 9)
num = key - ord('0')
# Interpolate
print("Interpolating " + repr(num * 2) + "-PolyVector field")
b = igl.eigen.MatrixXi([[4550, 2321, 5413, 5350]]).transpose()
bc = igl.eigen.MatrixXd(b.size(), num * 3)
for i in range(0, b.size()):
t = random_constraints(B1.row(b[i]), B2.row(b[i]), num)
bc.setRow(i, t)
# Interpolated PolyVector field
pvf = igl.eigen.MatrixXd()
igl.n_polyvector(V, F, b, bc, pvf)
# Highlight in red the constrained faces
C = igl.eigen.MatrixXd.Constant(F.rows(), 3, 1)
for i in range(0, b.size()):
C.setRow(b[i], igl.eigen.MatrixXd([[1, 0, 0]]))
viewer.data.set_colors(C)
for n in range(0, num):
VF = igl.eigen.MatrixXd.Zero(F.rows(), 3)
for i in range(0, b.size()):
VF.setRow(b[i], bc.block(i, n * 3, 1, 3))
for i in range(0, samples.rows()):
VF.setRow(samples[i], pvf.block(samples[i], n * 3, 1, 3))
c = VF.rowwiseNorm()
C2 = igl.eigen.MatrixXd()
igl.jet(c, 1, 1 + rand_factor, C2)
viewer.data.add_edges(B - global_scale * VF, B + global_scale * VF, C2)
return False
def key_down(viewer, key, modifier):
if key < ord('1') or key > ord('8'):
return False
viewer.data.lines.resize(0,9)
num = key - ord('0')
# Interpolate
print("Interpolating " + repr(num * 2) + "-PolyVector field")
b = igl.eigen.MatrixXi([[4550, 2321, 5413, 5350]]).transpose()
bc = igl.eigen.MatrixXd(b.size(),num*3)
for i in range(0,b.size()):
t = random_constraints(B1.row(b[i]),B2.row(b[i]),num)
bc.setRow(i,t)
# Interpolated PolyVector field
pvf = igl.eigen.MatrixXd()
igl.n_polyvector(V, F, b, bc, pvf)
# Highlight in red the constrained faces
C = igl.eigen.MatrixXd.Constant(F.rows(),3,1)
for i in range(0,b.size()):
C.setRow(b[i],igl.eigen.MatrixXd([[1, 0, 0]]))
viewer.data.set_colors(C)
for n in range(0,num):
VF = igl.eigen.MatrixXd.Zero(F.rows(),3)
for i in range(0,b.size()):
VF.setRow(b[i],bc.block(i,n*3,1,3))
for i in range(0,samples.rows()):
VF.setRow(samples[i],pvf.block(samples[i],n*3,1,3))
c = VF.rowwiseNorm()
C2 = igl.eigen.MatrixXd()
igl.jet(c,1,1+rand_factor,C2)
viewer.data.add_edges(B - global_scale*VF, B + global_scale*VF , C2)
return False
igl.readOFF("../../tutorial/shared/decimated-knight.off",V,F)
# Sort barycenters lexicographically
BC = igl.eigen.MatrixXd()
sorted_BC = igl.eigen.MatrixXd()
igl.barycenter(V,F,BC);
I = igl.eigen.MatrixXi()
J = igl.eigen.MatrixXi()
# sorted_BC = BC(I,:)
igl.sortrows(BC,True,sorted_BC,I)
# Get sorted "place" from sorted indices
J.resize(I.rows(),1)
# J(I) = 1:numel(I)
igl.slice_into(igl.coloni(0,I.size()-1),I,J)
# Pseudo-color based on sorted place
C = igl.eigen.MatrixXd()
igl.jet(J.castdouble(),True,C)
# Plot the mesh with pseudocolors
viewer = igl.viewer.Viewer()
viewer.data.set_mesh(V, F)
viewer.data.set_colors(C)
viewer.launch()
Z_in = solver.solve(L_in_b * bc) # slice into solution igl.slice_into(Z_in, vin, Z) # Alternative, short hand mqwf = igl.min_quad_with_fixed_data() # Linear term is 0 B = igl.eigen.MatrixXd() B.setZero(V.rows(), 1) # Empty constraints Beq = igl.eigen.MatrixXd() Aeq = igl.eigen.SparseMatrixd() # Our cotmatrix is _negative_ definite, so flip sign igl.min_quad_with_fixed_precompute(-L, b, Aeq, True, mqwf) igl.min_quad_with_fixed_solve(mqwf, B, bc, Beq, Z) # Pseudo-color based on solution C = igl.eigen.MatrixXd() igl.jet(Z, True, C) # Plot the mesh with pseudocolors viewer = igl.viewer.Viewer() viewer.data.set_mesh(V, F) viewer.core.show_lines = False viewer.data.set_colors(C) viewer.launch()
# Pseudo-color based on solution
global C
C = igl.eigen.MatrixXd()
global C_const
C_const = igl.eigen.MatrixXd()
global toggle
toggle = True
# Use same color axes
min_z = min(Z.minCoeff(), Z_const.minCoeff())
max_z = max(Z.maxCoeff(), Z_const.maxCoeff())
igl.jet(Z, min_z, max_z, C)
igl.jet(Z_const, min_z, max_z, C_const)
# Plot the mesh with pseudocolors
viewer = igl.viewer.Viewer()
viewer.data.set_mesh(V, F)
viewer.core.show_lines = False
viewer.data.set_colors(C)
def key_down(viewer, key, mode):
if key == ord(' '):
global toggle
global C
global C_const
igl.readOFF("../../tutorial/shared/decimated-knight.off", V, F)
# Sort barycenters lexicographically
BC = igl.eigen.MatrixXd()
sorted_BC = igl.eigen.MatrixXd()
igl.barycenter(V, F, BC)
I = igl.eigen.MatrixXi()
J = igl.eigen.MatrixXi()
# sorted_BC = BC(I,:)
igl.sortrows(BC, True, sorted_BC, I)
# Get sorted "place" from sorted indices
J.resize(I.rows(), 1)
# J(I) = 1:numel(I)
igl.slice_into(igl.coloni(0, I.size() - 1), I, J)
# Pseudo-color based on sorted place
C = igl.eigen.MatrixXd()
igl.jet(J.castdouble(), True, C)
# Plot the mesh with pseudocolors
viewer = igl.viewer.Viewer()
viewer.data.set_mesh(V, F)
viewer.data.set_colors(C)
viewer.launch()
Z_in = solver.solve(L_in_b*bc) # slice into solution igl.slice_into(Z_in,vin,Z) # Alternative, short hand mqwf = igl.min_quad_with_fixed_data() # Linear term is 0 B = igl.eigen.MatrixXd() B.setZero(V.rows(),1); # Empty constraints Beq = igl.eigen.MatrixXd() Aeq = igl.eigen.SparseMatrixd() # Our cotmatrix is _negative_ definite, so flip sign igl.min_quad_with_fixed_precompute(-L,b,Aeq,True,mqwf) igl.min_quad_with_fixed_solve(mqwf,B,bc,Beq,Z) # Pseudo-color based on solution C = igl.eigen.MatrixXd() igl.jet(Z,True,C) # Plot the mesh with pseudocolors viewer = igl.viewer.Viewer() viewer.data.set_mesh(V, F) viewer.core.show_lines = False viewer.data.set_colors(C) viewer.launch()
# Pseudo-color based on solution
global C
C = igl.eigen.MatrixXd()
global C_const
C_const = igl.eigen.MatrixXd()
global toggle
toggle = True
# Use same color axes
min_z = min(Z.minCoeff(),Z_const.minCoeff())
max_z = max(Z.maxCoeff(),Z_const.maxCoeff())
igl.jet( Z,min_z,max_z,C);
igl.jet(Z_const,min_z,max_z,C_const);
# Plot the mesh with pseudocolors
viewer = igl.viewer.Viewer()
viewer.data.set_mesh(V, F)
viewer.core.show_lines = False
viewer.data.set_colors(C)
def key_down(viewer,key,mode):
if key == ord(' '):
global toggle
global C
global C_const
if toggle:
G = igl.eigen.SparseMatrixd() igl.grad(V, F, G) # Compute gradient of U GU = (G * U).MapMatrix(F.rows(), 3) # Compute gradient magnitude GU_mag = GU.rowwiseNorm() viewer = igl.viewer.Viewer() viewer.data.set_mesh(V, F) # Compute pseudocolor for original function C = igl.eigen.MatrixXd() igl.jet(U, True, C) # Or for gradient magnitude # igl.jet(GU_mag,True,C) viewer.data.set_colors(C) # Average edge length divided by average gradient (for scaling) max_size = igl.avg_edge_length(V, F) / GU_mag.mean() # Draw a black segment in direction of gradient at face barycenters BC = igl.eigen.MatrixXd() igl.barycenter(V, F, BC) black = igl.eigen.MatrixXd([[0.0, 0.0, 0.0]]) viewer.data.add_edges(BC, BC + max_size * GU, black)
# Add the igl library to the modules search path
import sys, os
sys.path.insert(0, os.getcwd() + "/../")
import igl
# Load mesh
V = igl.eigen.MatrixXd()
F = igl.eigen.MatrixXi()
igl.readOFF("../../tutorial/shared/bumpy.off",V,F);
# Compute Gaussian curvature
K = igl.eigen.MatrixXd();
igl.gaussian_curvature(V,F,K);
# Compute pseudocolor
C = igl.eigen.MatrixXd();
igl.jet(K,True,C);
# Plot the mesh with pseudocolors
viewer = igl.viewer.Viewer()
viewer.data.set_mesh(V, F)
viewer.data.set_colors(C)
viewer.launch()
G = igl.eigen.SparseMatrixd() igl.grad(V,F,G) # Compute gradient of U GU = (G*U).MapMatrix(F.rows(),3) # Compute gradient magnitude GU_mag = GU.rowwiseNorm() viewer = igl.viewer.Viewer() viewer.data.set_mesh(V, F) # Compute pseudocolor for original function C = igl.eigen.MatrixXd() igl.jet(U,True,C) # Or for gradient magnitude # igl.jet(GU_mag,True,C) viewer.data.set_colors(C); # Average edge length divided by average gradient (for scaling) max_size = igl.avg_edge_length(V,F) / GU_mag.mean() # Draw a black segment in direction of gradient at face barycenters BC = igl.eigen.MatrixXd() igl.barycenter(V,F,BC) black = igl.eigen.MatrixXd([[0.0,0.0,0.0]]) viewer.data.add_edges(BC,BC+max_size*GU, black)
