added 402

Former-commit-id: eb4da577ddb7a02a260af87d096cedf0d0d21105

python/402_PolyharmonicDeformation.py

@@ -0,0 +1,107 @@
+import igl
+
+global resolve, z_max, z_dir, k, Z, V, F, b, bc, U
+
+z_max = 1.0
+z_dir = -0.03
+k = 2
+resolve = True
+
+
+V = igl.eigen.MatrixXd()
+U = igl.eigen.MatrixXd()
+
+Z = igl.eigen.MatrixXd()
+
+F = igl.eigen.MatrixXi()
+b = igl.eigen.MatrixXi()
+
+bc = igl.eigen.MatrixXd()
+
+def pre_draw(viewer):
+    global resolve, z_max, z_dir, k, Z, V, F, b, bc
+
+    if resolve:
+        print k
+        # T = igl.eigen.MatrixXd()
+        igl.harmonic(V,F,b,bc,k,Z)
+        # Z = T # FIXME
+        resolve = False
+
+    U.setCol(2,z_max*Z)
+    viewer.data.set_vertices(U)
+    viewer.data.compute_normals()
+
+    if viewer.core.is_animating:
+        z_max += z_dir
+        z_dir *= (-1.0 if z_max>=1.0 or z_max<=0.0 else 1.0)
+
+    return False
+
+def key_down(viewer, key, mods):
+    global k, resolve
+
+    if key == ord(' '):
+        viewer.core.is_animating = not viewer.core.is_animating
+    elif key == ord('.'):
+        k = k + 1
+        k = (4 if k>4 else k)
+        resolve = True
+    elif key == ord(','):
+        k = k - 1
+        k = (1 if k<1 else k)
+        resolve = True
+    return True
+
+
+igl.readOBJ("../tutorial/shared/bump-domain.obj",V,F)
+U=V
+
+# Find boundary vertices outside annulus
+
+# is_outer = (V.rowwise().norm().array()-1.0)>-1e-15
+# is_inner = (V.rowwise().norm().array()-0.15)<1e-15
+# in_b = is_outer.array() || is_inner.array()
+#
+# igl.colon_int(0,V.rows()-1,b)
+# b.conservativeResize(stable_partition( b.data(), b.data()+b.size(),
+#    [&in_b](int i)->bool{return in_b(i);})-b.data())
+
+Vrn = V.rowwiseNorm()
+is_outer = [Vrn[i]-1.00 > -1e-15 for i in range(0,V.rows())]
+is_inner = [Vrn[i]-0.15 <  1e-15 for i in range(0,V.rows())]
+in_b = [ is_outer[i] or is_inner[i] for i in range(0,len(is_outer))]
+
+b = igl.eigen.MatrixXi([[i for i in range(0,V.rows()) if (in_b[i])]]).transpose();
+
+bc.resize(b.size(),1)
+
+for bi in range(0,b.size()):
+    bc[bi] = (0.0 if is_outer[b[bi]] else 1.0)
+
+# 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( in_b[F[f,0]] and in_b[F[f,1]] and in_b[F[f,2]]):
+        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(0.81,-0.58,-0.03,-0.03)
+# viewer.core.trackball_angle.normalize()
+viewer.callback_pre_draw = pre_draw
+viewer.callback_key_down = key_down
+viewer.core.is_animating = True
+viewer.core.animation_max_fps = 30.0
+print("Press [space] to toggle animation.")
+print("Press '.' to increase k.")
+print("Press ',' to decrease k.")
+viewer.launch();