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29_arap_deformation.py
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import math
#
import numpy
import moderngl
import pyrr
from PyQt5 import QtWidgets
from PyQt5.QtCore import QTimer
#
from util_moderngl_qt import DrawerMesh, QGLWidgetViewer3
from del_msh import TriMesh
import del_ls
class DialogForParameters(QtWidgets.QWidget):
def __init__(self):
super().__init__()
self.initUI()
def initUI(self):
self.btn_spoke = QtWidgets.QRadioButton('Spoke', self)
self.btn_spokerim = QtWidgets.QRadioButton('Spoke && Rim', self)
rb_layout = QtWidgets.QHBoxLayout()
rb_layout.addWidget(self.btn_spoke)
rb_layout.addWidget(self.btn_spokerim)
self.btn_spoke.setChecked(True)
from PyQt5.QtCore import Qt
self.label_iter = QtWidgets.QLabel('iteration: 2', self)
self.slider = QtWidgets.QSlider(orientation=Qt.Orientation.Horizontal, parent=self)
self.slider.setTickInterval(1)
self.slider.setTickPosition(QtWidgets.QSlider.TickPosition.TicksAbove)
self.slider.setMaximum(5)
self.slider.setMinimum(1)
self.slider.setValue(2)
self.slider.valueChanged.connect(self.slider_value_change)
sl_layout = QtWidgets.QHBoxLayout()
sl_layout.addWidget(self.slider)
sl_layout.addWidget(self.label_iter)
v_layout = QtWidgets.QVBoxLayout()
v_layout.addLayout(rb_layout)
v_layout.addLayout(sl_layout)
self.setLayout(v_layout)
#
self.setGeometry(300, 300, 250, 50)
self.setWindowTitle('Parameter Input Dialog')
self.setWindowFlags(Qt.WindowStaysOnTopHint)
self.show()
def slider_value_change(self):
val = self.slider.value()
self.label_iter.setText(f"iteration: {val}")
class MainWindow(QtWidgets.QMainWindow):
def __init__(self):
self.tri2vtx, self.vtx2xyz_ini = TriMesh.capsule(
radius=0.2, height=1.6,
ndiv_height=18, ndiv_theta=18, ndiv_longtitude=4)
self.vtx2rot = numpy.zeros((self.vtx2xyz_ini.shape[0], 3, 3))
self.vtxs0 = []
self.vtxs1 = []
for iv in range(self.vtx2xyz_ini.shape[0]):
y = self.vtx2xyz_ini[iv, 1]
if y < -0.65:
self.vtxs0.append(iv)
if y > +0.65:
self.vtxs1.append(iv)
self.vtx2xyz_def = self.vtx2xyz_ini.copy()
#
vtx2idx, idx2vtx = TriMesh.vtx2vtx(self.tri2vtx, self.vtx2xyz_ini.shape[0])
# print(vtx2idx, idx2vtx)
self.sparse = del_ls.SparseSquareMatrix(vtx2idx, idx2vtx)
self.sparse.set_zero()
from del_fem.del_fem import merge_hessian_mesh_laplacian_on_trimesh3
merge_hessian_mesh_laplacian_on_trimesh3(
self.tri2vtx, self.vtx2xyz_ini,
self.sparse.row2idx, self.sparse.idx2col,
self.sparse.row2val, self.sparse.idx2val)
self.r_vec = numpy.zeros_like(self.vtx2xyz_ini)
self.penalty = 1.0e+2
self.sparse.row2val[self.vtxs0] += self.penalty
self.sparse.row2val[self.vtxs1] += self.penalty
#
edge2vtx = TriMesh.edge2vtx(self.tri2vtx, self.vtx2xyz_ini.shape[0])
self.drawer_edge = DrawerMesh.Drawer(
vtx2xyz=self.vtx2xyz_def,
list_elem2vtx=[
DrawerMesh.ElementInfo(index=edge2vtx, color=(0, 0, 0), mode=moderngl.LINES),
DrawerMesh.ElementInfo(index=self.tri2vtx, color=(1, 1, 1), mode=moderngl.TRIANGLES)
]
)
self.dialog = DialogForParameters()
super().__init__()
self.resize(640, 480)
self.setWindowTitle('Mesh Viewer')
self.glwidget = QGLWidgetViewer3.QtGLWidget_Viewer3(
[self.drawer_edge])
self.setCentralWidget(self.glwidget)
#
self.timer = QTimer()
self.timer.setInterval(30)
self.timer.timeout.connect(self.step_time)
self.timer.start()
self.iframe = 0
self.dialog.show()
def step_time(self):
iframe = self.iframe
t0 = pyrr.Matrix44.from_translation((0., -0.6, 0.))
ry = pyrr.Matrix44.from_y_rotation(0.5 * math.sin(0.05 * iframe))
rz = pyrr.Matrix44.from_z_rotation(0.8 * math.sin(0.03 * iframe))
t1 = pyrr.Matrix44.from_translation((0.4 * math.sin(0.03 * iframe), +0.4 + 0.2 * math.cos(0.03 * iframe), 0.))
# t0 = pyrr.Matrix44.from_translation((0., -0.8, 0.))
# ry = pyrr.Matrix44.from_y_rotation(0.5 * math.sin(0.05 * iframe))
# rz = pyrr.Matrix44.from_z_rotation(0.3 * math.sin(0.07 * iframe))
# t1 = pyrr.Matrix44.from_translation((0.4 * math.sin(0.03 * iframe), +0.6 + 0.3 * math.cos(0.05 * iframe), 0.))
a = t1 * rz * ry * t0
a = a.transpose()
self.vtx2xyz_def[self.vtxs0] = self.vtx2xyz_ini[self.vtxs0]
# affine transformation
self.vtx2xyz_def[self.vtxs1] = a.matrix33.dot(self.vtx2xyz_ini[self.vtxs1].transpose()).transpose()
self.vtx2xyz_def[self.vtxs1] += numpy.array([a.m14, a.m24, a.m34])
for iter in range(0, self.dialog.slider.value()):
if self.dialog.btn_spokerim.isChecked():
from del_fem.del_fem import optimal_rotations_arap_spoke_rim_trimesh3
optimal_rotations_arap_spoke_rim_trimesh3(
self.tri2vtx,
self.vtx2xyz_ini, self.vtx2xyz_def,
self.vtx2rot)
#
from del_fem.del_fem import residual_arap_spoke_rim_trimesh3
residual_arap_spoke_rim_trimesh3(
self.tri2vtx,
self.vtx2xyz_ini, self.vtx2xyz_def,
self.vtx2rot,
self.r_vec)
else:
from del_fem.del_fem import optimal_rotations_arap_spoke
optimal_rotations_arap_spoke(
self.vtx2xyz_ini, self.vtx2xyz_def,
self.sparse.row2idx, self.sparse.idx2col, self.sparse.idx2val,
self.vtx2rot)
#
from del_fem.del_fem import residual_arap_spoke
residual_arap_spoke(
self.vtx2xyz_ini, self.vtx2xyz_def,
self.sparse.row2idx, self.sparse.idx2col, self.sparse.idx2val,
self.vtx2rot,
self.r_vec)
norm_r0 = numpy.linalg.norm(self.r_vec)
x_vec, conv_hist = self.sparse.solve_cg(self.r_vec, conv_ratio_tol=1.0e-5)
# print("cg_iterations =", len(conv_hist), conv_hist[len(conv_hist) - 1], norm_r0)
self.vtx2xyz_def += x_vec
#
self.drawer_edge.update_position(self.vtx2xyz_def)
self.iframe += 1
self.glwidget.update()
def main():
with QtWidgets.QApplication([]) as app:
win = MainWindow()
win.show()
app.exec()
if __name__ == "__main__":
main()