def bspline2mask(cps, width, height, delta=0.05, scaling=5):
connecs = []
for i in range(len(cps)):
curve = BSpline.Curve()
curve.degree = 3
curve.ctrlpts = cps[i]
curve.knotvector = utilities.generate_knot_vector(
curve.degree, len(curve.ctrlpts))
# print('delta',delta)
curve.delta = delta
curve.evaluate()
connecs.append(curve.evalpts)
polygon = np.array(connecs).flatten().tolist()
img = Image.new('L', (width, height), 255)
ImageDraw.Draw(img).polygon(polygon, outline=0, fill=0)
mask = np.array(
img.resize((width // scaling, height // scaling), Image.NEAREST))
return mask == False
def get_b_spline(ctrl_pts):
#########
ctrl_pts = mvpuai.reshape_coords_to_tuples(ctrl_pts)
def get_degree_of_b_spline(num_of_ctrl_pts: int):
if num_of_ctrl_pts >= 5:
degree = 4
elif num_of_ctrl_pts >= 1:
degree = num_of_ctrl_pts - 1
else:
degree = 0
return degree
degree = get_degree_of_b_spline(len(ctrl_pts))
knot_vector = utilities.generate_knot_vector(degree, len(ctrl_pts))
start = knot_vector[degree]
stop = knot_vector[-(degree + 1)]
return utilities.linspace(start, stop, 101, decimals=6)
def generateBSpline(self, curve_pts, degree):
# Create a B-Spline curve instance
curve = BSpline.Curve()
# Set evaluation delta
curve.delta = 0.001
# Set control points
controlpts = curve_pts
curve.ctrlpts = controlpts
# Set curve degree
curve.degree = degree
# Auto-generate knot vector
curve.knotvector =\
utils.generate_knot_vector(curve.degree, len(curve.ctrlpts))
return curve, curve.knotvector
def spline2polyline(degree, control_points, closed):
epsilon = 1e-1
spline = BSpline.Curve()
spline.degree = degree
spline.ctrlpts = control_points
if closed:
spline.ctrlpts += spline.ctrlpts[:spline.degree]
m = spline.degree + len(spline.ctrlpts)
spline.knotvector = [i / m for i in range(m + 1)]
curve_range = (spline.knotvector[spline.degree],
spline.knotvector[len(spline.ctrlpts)])
nb_seg_init = len(spline.ctrlpts)
else:
spline.knotvector = utilities.generate_knot_vector(
spline.degree, len(spline.ctrlpts))
curve_range = (0, 1)
nb_seg_init = len(spline.ctrlpts) - 1
t = np.linspace(curve_range[0], curve_range[1], num=nb_seg_init)
curve_data = np.hstack((t.reshape(nb_seg_init,
1), np.array(spline.evaluate_list(t))))
curve_data = np.transpose(curve_data)
i = 1
while i < np.size(curve_data, 1):
t_mid = (curve_data[0][i] + curve_data[0][i - 1]) / 2
a = curve_data[1:, i - 1]
b = curve_data[1:, i]
c = spline.evaluate_single(t_mid)
ab = b - a
ac = c - a
ac_proj_in_ab = np.sum(ab * ac, axis=0) / np.sum(np.square(ab), axis=0)
dist_to_curve = np.linalg.norm(ac_proj_in_ab * ab - ac, axis=0)
if dist_to_curve > epsilon:
curve_data = np.insert(curve_data, i, [t_mid, c[0], c[1]], axis=1)
else:
i += 1
vertices = np.insert(curve_data[1:], 2, 0., axis=0)
if closed:
return Polyline(vertices[:, :-1], True)
else:
return Polyline(vertices, False)
def nurbs_test():
curve = BSpline.Curve()
curve.ctrlpts = ((3.0, ), (1.0, ), (3.0, ), (2.0, ), (5.0, )) # 控制点
curve.delta = 0.01 # 数据间隔
curve.degree = 4 # degree应该小于控制点数量
# 自动计算knot point
curve.knotvector = utilities.generate_knot_vector(curve.degree,
len(curve.ctrlpts))
curve.evaluate() # 计算曲线
pt_y = [] # y值
pt_x = np.linspace(0, 1, 101)
dpt_y = [] # y一阶导数
ddpt_y = [] # y二阶导数
for pt in pt_x:
tmp = curve.derivatives(pt, order=2) # 0，1，2阶导数全部计算
pt_y.append(tmp[0][0])
dpt_y.append(tmp[1][0])
ddpt_y.append(tmp[2][0])
ctrl_x = np.linspace(0, 1, 5) # 控制点
ctrl_y = []
for item in curve.ctrlpts: #
ctrl_y.append(item[0])
plt.plot(pt_x, pt_y, 'b-')
plt.plot(ctrl_x, ctrl_y, 'r*')
plt.grid()
plt.show()
# 验证一阶求导的正确性
pt_y = np.array(pt_y)
dpt_y = np.array(dpt_y)
dpt_y_dis = (pt_y[1:] - pt_y[:-1]) / (pt_x[1] - pt_x[0])
ddpt_y_dis = (dpt_y[1:] - dpt_y[:-1]) / (pt_x[1] - pt_x[0])
pt_x_dis = pt_x[:-1] + (pt_x[1] - pt_x[0]) / 2
# 绘制一阶的
plt.plot(pt_x_dis, dpt_y_dis, '+r')
plt.plot(pt_x, dpt_y, '-b')
plt.show()
# 绘制二阶的
plt.plot(pt_x_dis, ddpt_y_dis, '+r')
plt.plot(pt_x, ddpt_y, '-b')
plt.show()
def generate_heart(scale=1):
# Create a B-Spline curve
heart = BSpline.Curve()
# Set up the control points
heart.degree = 3
heart.ctrlpts = [[0, -20], [25, 5], [17, 20], [5, 19], [0.2, 13], [0, 8],
[-0.2, 13], [-5, 19], [-17, 20], [-25, 5], [0, -20]]
# Scale the heart up/down according to the input scale
heart.ctrlpts = [[scale * x, scale * y] for x, y in heart.ctrlpts]
# Auto-generate knot vector
heart.knotvector = utilities.generate_knot_vector(heart.degree,
len(heart.ctrlpts))
# Set the evaluation delta
heart.delta = 0.001
# Evaluate the curve
heart.evaluate()
# Return the heart curve
return heart
def test_generate_knot_vector3():
with pytest.raises(ValueError):
degree = 0
num_ctrlpts = 0
utilities.generate_knot_vector(degree, num_ctrlpts)
render_surf = False
# Fix file path
os.chdir(os.path.dirname(os.path.realpath(__file__)))
# Create a BSpline surface instance
surf = BSpline.Surface()
# Set evaluation delta
surf.delta = 0.025
# Set up surface
surf.read_ctrlpts_from_txt("ex_surface02.cpt")
surf.degree_u = 3
surf.degree_v = 3
surf.knotvector_u = utilities.generate_knot_vector(surf.degree_u, 6)
surf.knotvector_v = utilities.generate_knot_vector(surf.degree_v, 6)
# Evaluate surface
surf.evaluate()
# Draw the control point grid and the evaluated surface
if render_surf:
vis_comp = VisMPL.VisSurfScatter()
surf.vis = vis_comp
surf.render()
# Save control points and evaluated curve points
surf.save_surfpts_to_csv("surfpts02_orig.csv", mode='linear')
surf.save_ctrlpts_to_csv("ctrlpts02_orig.csv", mode='wireframe')
# Generate control points grid for Surface #1
sg01 = CPGen.Grid(15, 10, z_value=0.0)
sg01.generate(8, 8)
# Create a BSpline surface instance
surf01 = BSpline.Surface()
# Set degrees
surf01.degree_u = 1
surf01.degree_v = 1
# Get the control points from the generated grid
surf01.ctrlpts2d = sg01.grid
# Set knot vectors
surf01.knotvector_u = utilities.generate_knot_vector(
surf01.degree_u, surf01.ctrlpts_size_u)
surf01.knotvector_v = utilities.generate_knot_vector(
surf01.degree_v, surf01.ctrlpts_size_v)
# Generate control points grid for Surface #2
sg02 = CPGen.Grid(15, 10, z_value=1.0)
sg02.generate(8, 8)
# Create a BSpline surface instance
surf02 = BSpline.Surface()
# Set degrees
surf02.degree_u = 1
surf02.degree_v = 1
# Get the control points from the generated grid
def createnurbsshading(idd_filename, idf_filename, base_surface, shading_str, ctrl_points, evaluated_points=20):
##########################################
# loading base surface data from idf file
##########################################
# check if IDD has been already set
try:
IDF.setiddname(idd_filename)
except modeleditor.IDDAlreadySetError as e:
pass
# load idf file into idf collection
idf_collection = IDF(idf_filename)
# find the named base_surface in idf collection
walls = idf_collection.idfobjects['BuildingSurface:Detailed'.upper()]
for wall in walls:
if wall.Name == base_surface:
# named base_surface is now contained in wall
break
else:
# named base_surface was not found in idf file
print('epnurbs.createshading: unable to find the base surface', base_surface, 'in', idf_filename)
return
#################################
# calculating NURBS curve points
#################################
from geomdl import NURBS
from geomdl import utilities
curve = NURBS.Curve()
# 1/delta corresponds to the number of trapezoids used in approximation of NURBS shading
curve.delta = 1/evaluated_points
curve.degree = 3
# add weight 1 to each control point
# unless it has been already weighted
for cpt in ctrl_points:
if len(cpt)<4:
cpt.append(1.0)
# sets curve control points
curve.set_ctrlpts(ctrl_points)
# sets curve knot vector
curve.knotvector = utilities.generate_knot_vector(curve.degree, len(curve.ctrlpts))
# evaluates curve points
curve.evaluate()
# make a local copy of evaluated curve points
crv_points = curve.curvepts
###################################################################################
# feet of perpendiculars from the remaining NURBS curve points to the base surface
###################################################################################
# getting the found base_surface's coordinates
coord = wall.coords
ulc = coord[0]
blc = coord[1]
brc = coord[2]
# find the base_surface's plane normal and normalize it
N = crossproduct( (blc[0]-ulc[0], blc[1]-ulc[1], blc[2]-ulc[2]), \
(brc[0]-ulc[0], brc[1]-ulc[1], brc[2]-ulc[2]) )
N = normalize(N)
# calculate feet of perpendiculars
feet_points = [foot(crv_points[i], ulc, N) for i in range(len(crv_points))]
#################################################################################
# create string of idf definitions for trapezoids that approximate NURBS shading
#################################################################################
idf_total_shading_def = ""
for i in range(1, len(crv_points)):
# the width of a trapezoid must be at least 0.01
if distance(crv_points[i-1], crv_points[i])>=0.01 and \
distance(feet_points[i-1], feet_points[i])>=0.01:
# are trapezoid arms at least 0.01 or do we have a triangle?
if distance(crv_points[i-1], feet_points[i-1])>=0.01:
if distance(crv_points[i], feet_points[i])>=0.01:
# both arms are at least 0.01, so we have a trapezoid
vertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2],
crv_points[i-1][0], crv_points[i-1][1], crv_points[i-1][2],
crv_points[i][0], crv_points[i][1], crv_points[i][2],
feet_points[i][0], feet_points[i][1], feet_points[i][2])
countervertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i][0], feet_points[i][1], feet_points[i][2],
crv_points[i][0], crv_points[i][1], crv_points[i][2],
crv_points[i-1][0], crv_points[i-1][1], crv_points[i-1][2],
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2])
single_shading_def = shading_str.replace('<IDX>', str(i)).replace('<BASESURFACE>', base_surface).replace('<VERTICES>', vertices_str).replace('<COUNTERVERTICES>', countervertices_str)
idf_total_shading_def = idf_total_shading_def + single_shading_def
else:
# arm i is less than 0.01, so we have a triangle
vertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2],
crv_points[i-1][0], crv_points[i-1][1], crv_points[i-1][2],
feet_points[i][0], feet_points[i][1], feet_points[i][2])
countervertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i][0], feet_points[i][1], feet_points[i][2],
crv_points[i-1][0], crv_points[i-1][1], crv_points[i-1][2],
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2])
single_shading_def = shading_str.replace('<IDX>', str(i)).replace('<BASESURFACE>', base_surface).replace('<VERTICES>', vertices_str).replace('<COUNTERVERTICES>', countervertices_str)
idf_total_shading_def = idf_total_shading_def + single_shading_def
else:
# arm i-1 is less than 0.01, but do we still have a triangle?
if distance(crv_points[i], feet_points[i])>=0.01:
# we have a triangle
vertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2],
crv_points[i][0], crv_points[i][1], crv_points[i][2],
feet_points[i][0], feet_points[i][1], feet_points[i][2])
countervertices_str = "{:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}, {:f}".format(
feet_points[i][0], feet_points[i][1], feet_points[i][2],
crv_points[i][0], crv_points[i][1], crv_points[i][2],
feet_points[i-1][0], feet_points[i-1][1], feet_points[i-1][2])
single_shading_def = shading_str.replace('<IDX>', str(i)).replace('<BASESURFACE>', base_surface).replace('<VERTICES>', vertices_str).replace('<COUNTERVERTICES>', countervertices_str)
idf_total_shading_def = idf_total_shading_def + single_shading_def
else:
# we do not have a shading element in this case
pass
# create idf shading objects from the string containing shading definitions
from io import StringIO
idf_shading = IDF(StringIO(idf_total_shading_def))
# copy idf shading objects to the existing idf file
shadings = idf_shading.idfobjects["SHADING:ZONE:DETAILED"]
for shading in shadings:
idf_collection.copyidfobject(shading)
###############################
# at the end, save the changes
###############################
idf_collection.save()
def plot_base(ctrlpts_size_u, Bspl):
type = ['closed', 'open', 'nonlinear', 'special', 'special2', 'special3']
# fig = plt.figure()
# ax = fig.gca()
color = ['r', 'b', 'k', 'g', 'c', 'm', 'y', 'r', 'b', 'k', 'g', 'c', 'm', 'y', 'r', 'b', 'k', 'g', 'c', 'm', 'y']
for ind, setup in enumerate(type):
if setup == 'open':
Bspl.knotvector_u = tuple(np.linspace(0, 1, num=Bspl.degree_u + ctrlpts_size_u + 1).tolist())
# span_u = helpers.find_span_linear(Bspl.degree_u, Bspl.knotvector_u, ctrlpts_size_u, 1)
# # span_u = self._span_func(Bspl.degree_u, Bspl.knotvector_u, ctrlpts_size_u, 1)
# bfunsders_u = helpers.basis_function_ders(Bspl.degree_u, Bspl.knotvector_u, span_u, 1, 0)
elif setup == 'closed':
Bspl.knotvector_u = geom_util.generate_knot_vector(Bspl.degree_u, ctrlpts_size_u)
elif setup == 'nonlinear':
pdb.set_trace()
numb = Bspl.degree_u + ctrlpts_size_u + 1
vec = np.linspace(0.1, 1, num=np.floor(numb / 2)).tolist()
k = 0.5
vec = [elem ** k for elem in vec]
# vec = np.exp(vec)
# Normalize
vec = vec / (2 * np.max(vec))
if numb % 2 == 0:
# Do not append mid number if uneven number of points!
lst = np.sort(np.append(vec, -vec)) + 0.5
else:
lst = np.sort(np.append(np.append(vec, 0), -vec)) + 0.5
Bspl.knotvector_u = tuple(lst)
elif setup == 'special':
# closed knotvector
pdb.set_trace()
c_kn = np.linspace(0, 1, num=Bspl.degree_u + ctrlpts_size_u + 1).tolist()
c_kn[0] = c_kn[1]
c_kn[-1] = c_kn[-2]
Bspl.knotvector_u = c_kn
elif setup == 'special2':
c_kn = np.linspace(0, 1, num=Bspl.degree_u + ctrlpts_size_u + 1).tolist()
# Closed. nothing fishy
c_kn[0] = c_kn[2]
c_kn[1] = c_kn[2]
c_kn[-1] = c_kn[-3]
c_kn[-2] = c_kn[-3]
Bspl.knotvector_u = c_kn
elif setup == 'special3':
c_kn = np.linspace(0, 1, num=Bspl.degree_u + ctrlpts_size_u + 1).tolist()
pdb.set_trace()
# Closed. nothing fishy
c_kn[0] = c_kn[2]
c_kn[1] = c_kn[2]
c_kn[-1] = c_kn[-3]
c_kn[-2] = c_kn[-3]
Bspl.knotvector_u = c_kn
else:
raise NotImplementedError
start_u = Bspl._knot_vector_u[Bspl._degree_u]
stop_u = Bspl._knot_vector_u[-(Bspl._degree_u + 1)]
# Map variables to valid knot space
knots_u = start_u + (stop_u - start_u) * np.linspace(0, 1, 100)
spans_p = helpers.find_spans(Bspl.degree_u, Bspl.knotvector_u, ctrlpts_size_u, knots_u, Bspl._span_func)
basis_p = helpers.basis_functions(Bspl.degree_u, Bspl.knotvector_u, spans_p, knots_u)
basis_p_full = np.array(basis_full(Bspl, basis_p, Bspl.degree_u, spans_p))
# Plot the curve
fig = plt.figure()
ax = fig.gca()
i = 0
# Bspl.derivatives(1, 1, 0)
# plot derivative
bfun_der = []
basis_p_full = np.array(basis_full(Bspl, basis_p, Bspl.degree_u, spans_p))
for knot in knots_u:
span_u = helpers.find_span_linear(Bspl.degree_u, Bspl.knotvector_u, ctrlpts_size_u, knot)
row = helpers.basis_function_ders(Bspl.degree_u, Bspl.knotvector_u, span_u, knot, 2)[-1]
# pdb.set_trace()
bfun_der.append(row)
der_plot = np.array(basis_full(Bspl, bfun_der, Bspl.degree_u, spans_p))
# plot the value of the function
for ind, dummy in enumerate(basis_p_full[0]):
max_val = np.max(np.abs(der_plot[:, i]))
ax.plot(knots_u, np.ravel(basis_p_full[:, i]), color[ind])
ax.plot(knots_u, np.ravel(der_plot[:, i]) * (stop_u - start_u), '--o' + color[ind]) # / np.max(der_plot[:, i])
i += 1
ax.set_title(setup)
plt.show()
render_curve = False
r = 3.0
Cx = lambda t: r + r * math.cos(0.5 * math.pi * t + math.pi)
Cy = lambda t: r + r * math.sin(0.5 * math.pi * t + math.pi)
# choose curve parameter
degree = 2
nCtrlpts = 3
# gauss quadrature
xi = [-0.90618, -0.538469, 0, 0.538469, 0.90618]
wi = [0.236927, 0.478629, 0.568889, 0.478629, 0.236927]
# solve
knotvector = utils.generate_knot_vector(degree, nCtrlpts)
span = lambda xi: utils.find_span(degree, tuple(knotvector), nCtrlpts, xi * 0.5
+ 0.5)
bfuns = lambda xi: utils.basis_functions(2, tuple(knotvector), span(xi), xi *
0.5 + 0.5)
t = -0.5
print knotvector
print span(t)
print bfuns(t)
A = np.zeros((nCtrlpts, nCtrlpts))
A_temp = np.zeros((nCtrlpts, nCtrlpts))
B = np.zeros(3)
for g in range(0, len(xi)):
coords_disp[i, 0], coords_disp[i, 1]))
f.close()
# Visualize results (displacement only)
# Visualize minimization results
# Set up new surface
disp_surf = bs.Surface()
disp_surf.degree_u = 3
disp_surf.degree_v = 3
disp_surf.set_ctrlpts(coords_disp.tolist(), num_ctrlpts, num_ctrlpts)
disp_surf.knotvector_u = gutil.generate_knot_vector(disp_surf.degree_u,
num_ctrlpts)
disp_surf.knotvector_v = gutil.generate_knot_vector(disp_surf.degree_v,
num_ctrlpts)
disp_surf.delta = 0.01
fname = 'sinusoidalxmindispl'
visualize.viz_displacement(def_image, disp_surf, indices[0], indices[1],
indices[2], indices[3], fname)
# Compute differences between proscribed and actual displacement measurements
# Fill x and y displacement arrays
U_diff = np.zeros(def_image.shape) * np.nan
V_diff = np.zeros(def_image.shape) * np.nan
rowmin_index = indices[0]
rowmax_index = indices[1]
colmin_index = indices[2]
def main():
points = np.loadtxt("N2_RV_P0.txt")
zmin_loc_temp = np.where(points[:, 1] == 0)[0]
zmin_loc = zmin_loc_temp
# points = remove_3dpoint(points,zmin_loc)
N = 5
slice(N, points)
slice0 = slice.slices[0]
x0 = slice0[:, 0]
y0 = slice0[:, 1]
z0 = slice0[:, 2]
slice1 = slice.slices[1]
x1 = slice1[:, 0]
y1 = slice1[:, 1]
z1 = slice1[:, 2]
slice2 = slice.slices[2]
x2 = slice2[:, 0]
y2 = slice2[:, 1]
z2 = slice2[:, 2]
slice3 = slice.slices[3]
x3 = slice3[:, 0]
y3 = slice3[:, 1]
z3 = slice3[:, 2]
slice4 = slice.slices[4]
x4 = slice4[:, 0]
y4 = slice4[:, 1]
z4 = slice4[:, 2]
print(np.shape(points))
ranges = slice.bins
diameter = x0.max() - x0.min()
radius = diameter
height = z0.max()
diameter1 = x1.max() - x1.min()
radius1 = diameter1
height1 = z1.max()
diameter2 = x2.max() - x2.min()
radius2 = diameter2
height2 = z2.max()
diameter3 = x3.max() - x3.min()
radius3 = diameter3
height3 = z3.max()
diameter4 = x4.max() - x4.min()
radius4 = diameter4 / 2
height4 = x4.max()
# Generate a cylindrical surface using the shapes component
cylinder = surface.cylinder(radius, height)
# vis_config = VisMPL.VisConfig(ctrlpts=True)
# vis_comp = VisMPL.VisSurface(config=vis_config)
# cylinder.vis = vis_comp
# cylinder.render()
cyl_points = cylinder.evalpts
print("*****************")
# print(len(cyl_points))
print("*****************")
cylinder1 = surface.cylinder(radius1, height1)
cyl_points1 = cylinder1.evalpts
# vis_config = VisMPL.VisConfig(ctrlpts=True)
# vis_comp = VisMPL.VisSurface(config=vis_config)
# cylinder1.vis = vis_comp
# cylinder1.render()
cylinder2 = surface.cylinder(radius2, height2)
cyl_points2 = cylinder2.evalpts
# vis_config = VisMPL.VisConfig(ctrlpts=True)
# vis_comp = VisMPL.VisSurface(config=vis_config)
# cylinder2.vis = vis_comp
# cylinder2.render()
cylinder3 = surface.cylinder(radius3, height3)
cyl_points3 = cylinder3.evalpts
# vis_config = VisMPL.VisConfig(ctrlpts=True)
# vis_comp = VisMPL.VisSurface(config=vis_config)
# cylinder2.vis = vis_comp
# cylinder2.render()
cylinder4 = surface.cylinder(radius4, height4)
cyl_points4 = cylinder4.evalpts
# vis_config = VisMPL.VisConfig(ctrlpts=True)
# vis_comp = VisMPL.VisSurface(config=vis_config)
# cylinder4.vis = vis_comp
# cylinder4.render()
#try using points from the surface not the control points
cylinder_cpts = np.array(cylinder.ctrlpts)
cylinder_cpts1 = np.array(cylinder1.ctrlpts)
cylinder_cpts2 = np.array(cylinder2.ctrlpts)
cylinder_cpts3 = np.array(cylinder3.ctrlpts)
cylinder_cpts4 = np.array(cylinder4.ctrlpts)
a = np.array(cdist(np.array(cyl_points), slice0)).min(axis=0)
b = np.array(cdist(np.array(cyl_points1), slice1)).min(axis=0)
c = np.array(cdist(np.array(cyl_points2), slice2)).min(axis=0)
d = np.array(cdist(np.array(cyl_points3), slice3)).min(axis=0)
e = np.array(cdist(np.array(cyl_points4), slice4)).min(axis=0)
test = np.zeros((len(cylinder_cpts), 3))
test1 = np.zeros((len(cylinder_cpts1), 3))
test2 = np.zeros((len(cylinder_cpts2), 3))
test3 = np.zeros((len(cylinder_cpts3), 3))
test4 = np.zeros((len(cylinder_cpts4), 3))
for i in range(0, len(cylinder_cpts)):
test[i] = (cylinder_cpts[i] / np.linalg.norm(cylinder_cpts[i])) * a[i]
test1[i] = (cylinder_cpts1[i] /
np.linalg.norm(cylinder_cpts1[i])) * b[i]
test2[i] = (cylinder_cpts2[i] /
np.linalg.norm(cylinder_cpts2[i])) * c[i]
test3[i] = (cylinder_cpts3[i] /
np.linalg.norm(cylinder_cpts3[i])) * d[i]
test4[i] = (cylinder_cpts4[i] /
np.linalg.norm(cylinder_cpts4[i])) * e[i]
test_zeros_loc = np.where(test[:, 2] == 0)[0]
test1_zeros_loc = np.where(test1[:, 2] == 0)[0]
test2_zeros_loc = np.where(test2[:, 2] == 0)[0]
test3_zeros_loc = np.where(test3[:, 2] == 0)[0]
test4_zeros_loc = np.where(test4[:, 2] == 0)[0]
test = remove_3dpoint(test, test_zeros_loc)
test1 = remove_3dpoint(test1, test1_zeros_loc)
test2 = remove_3dpoint(test2, test2_zeros_loc)
test3 = remove_3dpoint(test3, test3_zeros_loc)
test4 = remove_3dpoint(test4, test4_zeros_loc)
test = np.array(
[test[:, 0], test[:, 1],
np.ones(len(test[:, 2])) * ranges[0]]).T
test1 = np.array(
[test1[:, 0], test1[:, 1],
np.ones(len(test1[:, 2])) * ranges[1]]).T
test2 = np.array(
[test2[:, 0], test2[:, 1],
np.ones(len(test2[:, 2])) * ranges[2]]).T
test3 = np.array(
[test3[:, 0], test3[:, 1],
np.ones(len(test3[:, 2])) * ranges[3]]).T
test4 = np.array(
[test4[:, 0], test4[:, 1],
np.ones(len(test4[:, 2])) * ranges[4]]).T
# for i in range(0,len(test1)):
# test1[i] = test1[i] + [0,0,height]
# test2[i] = test2[i]+[0,0,height1]
# test3[i] = test3[i]+[0,0,height2]
test = remove_3dpoint(test, len(test) - 1)
test1 = remove_3dpoint(test1, len(test1) - 1)
test2 = remove_3dpoint(test2, len(test2) - 1)
test3 = remove_3dpoint(test3, len(test3) - 1)
test4 = remove_3dpoint(test4, len(test4) - 1)
# test = np.insert(test,[0,len(test)],[[0,0,-5],[0,0,ranges[0]]],axis=0)
# test1 = np.insert(test1,[0,len(test1)],[0,0,ranges[1]],axis=0)
# test2 = np.insert(test2,[0,len(test2)],[0,0,ranges[2]],axis=0)
test = np.insert(
test,
[len(test) - 2, len(test) - 1, len(test)], [test[0], test[1], test[2]],
axis=0)
test1 = np.insert(
test1, [len(test1) - 2, len(test1) - 1,
len(test1)], [test1[0], test1[1], test1[2]],
axis=0)
test2 = np.insert(
test2, [len(test2) - 2, len(test2) - 1,
len(test2)], [test2[0], test2[1], test2[2]],
axis=0)
test3 = np.insert(
test3, [len(test3) - 2, len(test3) - 1,
len(test3)], [test3[0], test3[1], test3[2]],
axis=0)
test = np.insert(
test4, [len(test4) - 2, len(test4) - 1,
len(test4)], [test4[0], test4[1], test4[2]],
axis=0)
# print(test)
# print(test1)
# print(test2)
# print(test3)
X = np.row_stack((test, test1, test2, test3, test4))
print(X)
# np.random.shuffle(X)
np.savetxt("cpts_test.csv", X, delimiter=",")
# np.savetxt("cpts_test1.csv", test1, delimiter=",")
fig = plt.figure()
ax = plt.axes(projection="3d")
ax.scatter3D(test[:, 0],
test[:, 1],
np.ones(len(test[:, 2])) * ranges[0],
color='red')
ax.scatter3D(test1[:, 0], test1[:, 1], test1[:, 2], color='blue')
ax.scatter3D(test2[:, 0], test2[:, 1], test2[:, 2], color='green')
ax.scatter3D(test3[:, 0], test3[:, 1], test3[:, 2], color='yellow')
ax.scatter3D(test4[:, 0], test4[:, 1], test4[:, 2], color='purple')
# ax.scatter3D(cylinder_cpts[:,0],cylinder_cpts[:,1],cylinder_cpts[:,2])
# ax.scatter3D(cylinder_cpts1[:,0],cylinder_cpts1[:,1],cylinder_cpts1[:,2])
# try fitting a NURBS Surface
surf = NURBS.Surface()
surf.delta = 0.03
p_ctrlpts = exchange.import_csv("cpts_test.csv")
print(len(p_ctrlpts))
p_weights = np.ones((len(p_ctrlpts)))
p_size_u = 9
p_size_v = 5
p_degree_u = 3
p_degree_v = 3
t_ctrlptsw = compat.combine_ctrlpts_weights(p_ctrlpts, p_weights)
n_ctrlptsw = compat.flip_ctrlpts_u(t_ctrlptsw, p_size_u, p_size_v)
n_knotvector_u = utils.generate_knot_vector(p_degree_u, p_size_u)
n_knotvector_v = utils.generate_knot_vector(p_degree_v, p_size_v)
surf.degree_u = p_degree_u
surf.degree_v = p_degree_v
surf.set_ctrlpts(n_ctrlptsw, p_size_u, p_size_v)
surf.knotvector_u = n_knotvector_u
surf.knotvector_v = n_knotvector_v
vis_config = vis.VisConfig(ctrlpts=True, axes=True, legend=True)
surf.vis = vis.VisSurface(vis_config)
surf.evaluate()
surf.render()
def swing_curve_planning(self, leg_down):
# 1. 现在是哪条腿落下
if leg_down is 'left':
coe = -1
else:
coe = 1
# ---------------------------------
# 2. 首先处理当前准备触地的腿
p_end, a_end = self.p_end, self.a_end
a_begin = np.array([a_end[0], a_end[1], -a_end[2]]) # 这是重规划的起始点
p_begin = np.array([-p_end[0], p_end[1], p_end[2]])
# 2.1 直角坐标空间下的关键点位置
p1 = tuple(p_begin)
p2 = tuple(p_begin + 0.1 * a_begin)
p4 = tuple(p_end - 0.05 * a_end)
p5 = tuple(p_end)
p3 = (0., (p1[1]+p5[1])/2, p_begin[2] + 0.3)
# 2.2 关节坐标空间下的关键点位置转化
jp1 = self.coord_fake_world2joint(np.array(p1).reshape((3, 1)), leg_down)
jp2 = self.coord_fake_world2joint(np.array(p2).reshape((3, 1)), leg_down)
jp3 = self.coord_fake_world2joint(np.array(p3).reshape((3, 1)), leg_down)
jp4 = self.coord_fake_world2joint(np.array(p4).reshape((3, 1)), leg_down)
jp5 = self.coord_fake_world2joint(np.array(p5).reshape((3, 1)), leg_down)
# 2.3 构造曲线对象
tmp_curve = BSpline.Curve()
tmp_curve.ctrlpts = (jp1, jp2, jp3, jp4, jp5)
tmp_curve.delta = 0.01
tmp_curve.degree = 4
tmp_curve.knotvector = utilities.generate_knot_vector(4, len(tmp_curve.ctrlpts))
tmp_curve.evaluate()
if leg_down is 'left':
self.this_curve_l = tmp_curve
else:
self.this_curve_r = tmp_curve
# ----------------------------
# 3. 让我们来处理另一条腿吧
p_end = np.array([p_end[0], coe*0.12, p_end[2]]) #
a_end = np.array([a_end[0], 0.0, a_end[2]]) # 方向向前
if self.cycle_cnt == 1:
p_begin = np.array([-p_end[0], p_end[1], p_end[2]]) # x位置反向
a_begin = np.array([a_end[0], a_end[1], -a_end[2]]) # z方向相反
else:
p_begin = self.p_begin
a_begin = self.a_begin
# 3.1 直角坐标系下的关键点位置
p1 = tuple(p_begin)
p2 = tuple(p_begin + 0.1 * a_begin)
p4 = tuple(p_end - 0.05 * a_end)
p5 = tuple(p_end)
p3 = (0., (p1[1] + p5[1]) / 2, p_begin[2] + 0.3)
# 3.2 关节坐标空间下的关键点位置转化
jp1 = self.coord_fake_world2joint(np.array(p1).reshape((3, 1)), leg_down)
jp2 = self.coord_fake_world2joint(np.array(p2).reshape((3, 1)), leg_down)
jp3 = self.coord_fake_world2joint(np.array(p3).reshape((3, 1)), leg_down)
jp4 = self.coord_fake_world2joint(np.array(p4).reshape((3, 1)), leg_down)
jp5 = self.coord_fake_world2joint(np.array(p5).reshape((3, 1)), leg_down)
# 3.3 构造曲线对象
tmp_curve = BSpline.Curve()
tmp_curve.ctrlpts = (jp1, jp2, jp3, jp4, jp5)
tmp_curve.delta = 0.01
tmp_curve.degree = 4
tmp_curve.knotvector = utilities.generate_knot_vector(4, len(tmp_curve.ctrlpts))
tmp_curve.evaluate()
if leg_down is 'left':
self.this_curve_r = tmp_curve
else:
self.this_curve_l = tmp_curve
def test_check_knot_vector4():
degree = 4
num_ctrlpts = 12
autogen_kv = utilities.generate_knot_vector(degree, num_ctrlpts)
check_result = utilities.check_knot_vector(degree=degree, num_ctrlpts=num_ctrlpts, knot_vector=autogen_kv)
assert check_result
def test_generate_knot_vector4():
degree = 4
num_ctrlpts = 12
autogen_kv = utilities.generate_knot_vector(degree, num_ctrlpts)
result = [0.0, 0.0, 0.0, 0.0, 0.0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1.0, 1.0, 1.0, 1.0, 1.0]
assert autogen_kv == result
#
# 2D CURVE 1
#
# Create a B-Spline curve instance (Bezier Curve)
curve1 = BSpline.Curve()
# Set evaluation delta
curve1.delta = 0.01
# Set up the Bezier curve
curve1.ctrlpts = [[10, 0], [15, 15], [20, 0]]
curve1.degree = 2
# Auto-generate knot vector
curve1.knotvector = utilities.generate_knot_vector(curve1.degree,
len(curve1.ctrlpts))
# Evaluate curve
curve1.evaluate()
# Draw the control point polygon and the evaluated curve
if render_curve:
vis_comp1 = VisMPL.VisCurve2D()
curve1.vis = vis_comp1
curve1.render()
#
# 2D CURVE 2
#
# Create another B-Spline curve instance (Bezier Curve)
from geomdl import utilities
import numpy as np
degree = 4
Ncpts = 9
ti = utilities.generate_knot_vector(degree,Ncpts+1)
P = [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,51,52,53,54,55,56,57,58,59,60]
def getABsis(cpt,ti,t):
if t>=ti[cpt] and t<ti[cpt+1]:
return 1
else:
return 0
Nij=np.zeros([len(P),Ncpts+2+degree,degree+1])
for deg in range(degree+1):
if deg == 0:
for cpt in range(Ncpts+degree+1):
for pt,t in enumerate(P):
Nij[pt][cpt][deg] = getABsis(cpt,ti,t/P[-1])
else:
for cpt in range(Ncpts+degree+2-deg):
for pt,t in enumerate(P):
try:
LEFT = (t/P[-1] - ti[cpt]) / (ti[cpt+deg]-ti[cpt])
RIGHT = (ti[cpt+deg+1] - t/P[-1]) / (ti[cpt+deg+1]-ti[cpt+1])
# Weights of the control points p_weights = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] # Degrees p_degree_u = 3 p_degree_v = 2 # # Prepare data for import # t_ctrlptsw = compat.combine_ctrlpts_weights(p_ctrlpts, p_weights) n_ctrlptsw = compat.flip_ctrlpts_u(t_ctrlptsw, p_size_u, p_size_v) # Since we have no information on knot vectors, let's auto-generate them n_knotvector_u = utils.generate_knot_vector(p_degree_u, p_size_u) n_knotvector_v = utils.generate_knot_vector(p_degree_v, p_size_v) # # Import surface to NURBS-Python # surf = NURBS.Surface() surf.degree_u = p_degree_u surf.degree_v = p_degree_v surf.ctrlpts_size_u = p_size_u surf.ctrlpts_size_v = p_size_v surf.ctrlptsw = n_ctrlptsw surf.knotvector_u = n_knotvector_u surf.knotvector_v = n_knotvector_v
def smooth_bspline(self, filename):
"""
Smooth respiratory function using B-spline curve
Parameters
----------
filname: string
Name of 2DST file to smooth the respiratory function
Returns
-------
snake: list
Optimised B-spline curve (respiratory function smoothed)
"""
# Recover respiratory function extracted from 2DST images using masks
ldiaphragm_pts = [list(item) for item in self.respiratory_pattern(filename)]
# print("Original diaphragm points: {}".format(ldiaphragm_pts))
# img = cv2.imread('{}/{}/{}/{}'.format(DIR_2DST_DICOM, self.patient, self.plan, filename), 1)
# diaphragm_mask = np.zeros((256, 50, 3), np.uint8)
# img_mask = img.copy()
# i = 0
# while(i < len(ldiaphragm_pts) - 1):
# cv2.line(
# img_mask,
# ldiaphragm_pts[i], ldiaphragm_pts[i + 1],
# (255, 0, 0), 1)
# i = i + 1
# cv2.imshow('Diaphragmatic level', img_mask)
# cv2.waitKey(0)
# cv2.destroyAllWindows()
# cv2.imwrite('name.png', img_mask)
# Try to load the visualization module
try:
render_curve = True
from geomdl.visualization import VisMPL
except ImportError:
render_curve = False
# Create a B-Spline curve instance
curve = BSpline.Curve()
# Set evaluation delta
curve.delta = 0.0002
""" Set up curve """
# Set control points
controlpts = ldiaphragm_pts
convert_controlpts = map(lambda x: 255 - x[1], controlpts)
for i in range(len(controlpts)):
controlpts[i][1] = convert_controlpts[i]
curve.ctrlpts = controlpts
# Set curve degree
curve.degree = 3
# Auto-generate knot vector
curve.knotvector =\
utilities.generate_knot_vector(
curve.degree, len(curve.ctrlpts))
# Evaluate curve
curve.evaluate()
# Draw the control point polygon and the evaluated curve
if render_curve:
vis_comp = VisMPL.VisCurve2D()
curve.vis = vis_comp
curve.render()
bump_height=45,
base_extent=4,
base_adjust=1)
# Create a BSpline surface instance
surf = BSpline.Surface()
# Set degrees
surf.degree_u = 3
surf.degree_v = 3
# Get the control points from the generated grid
surf.ctrlpts2d = surfgrid.grid()
# Set knot vectors
surf.knotvector_u = utilities.generate_knot_vector(surf.degree_u,
surf.ctrlpts_size_u)
surf.knotvector_v = utilities.generate_knot_vector(surf.degree_v,
surf.ctrlpts_size_v)
# Split the surface at v = 0.35
split_surf = surf.split_v(0.35)
# Set sample size of the split surface
split_surf.sample_size = 25
# Generate the visualization component and its configuration
vis_config = VisPlotly.VisConfig(ctrlpts=False, legend=False)
vis_comp = VisPlotly.VisSurface(vis_config)
# Set visualization component of the split surface
split_surf.vis = vis_comp
def draw_graph(self,
output_file,
style,
size=1.0,
scale_correction=900,
curved=False,
symbology=True,
label_correction=1.0,
node_scale=5,
offset=(0, 0)):
"""
output_file: path to an svg file
style: a python dictionary defining the styles for nodes and edges
size: default size is 2000 * 2000 multiplied by the size value
scale_correction: change this value to alter the size of the graph relative to the total size of the svg canvas
curved: whether edge connections are curved or not
symbology: whether or not to use symbology when drawing the graph or a colour scheme
label_correction: adjusts the position of the labels relative to the centre of the nodes
node_scale: the size of the nodes relative to canvas
offset: x y coordinates to offset the centre of the graph - useful when using a background image (as defined in the style)
"""
dwg_size = (2000 * size, 2000 * size)
dwg = svgwrite.Drawing(filename=output_file,
size=dwg_size,
profile='full',
debug=True)
rect = dwg.rect(insert=(0, 0),
size=dwg_size,
fill=style['background']['color'])
dwg.add(rect)
if style['background'].get('image') is not None:
path = style['background'].get('image')
img = Image(filename=path)
img_data = img.make_blob(format='png')
encoded = base64.b64encode(img_data).decode()
png_data = 'data:image/png;base64,{}'.format(encoded)
image = dwg.add(
dwg.image(href=(png_data),
insert=(0, 0),
size=dwg_size,
opacity=style['background']['opacity']))
## Scale the graph to fit the svg canvas
# First, find the bounds of the graph
maxX = 0
maxY = 0
minX = 0
minY = 0
for node, data in self.nodes.items():
x = float(data['x'])
y = float(data['y'])
if (maxX == 0 and maxY == 0 and minX == 0 and minY == 0):
maxX = x
maxY = y
minX = x
minY = y
if x > maxX:
maxX = x
if y > maxY:
maxY = y
if x < minX:
minX = x
if y < minY:
minY = y
scale = (max(scale_correction / maxX, scale_correction / maxY)) * size
# Then calculate the transformation to fit the nodes on the canvas
for node, data in self.nodes.items():
# Translate and scale nodes
x = float(data['x'])
y = float(data['y'])
x -= (maxX + minX) / 2
y -= (maxY + minY) / 2
x *= scale
y *= scale
x += 1050 * size
y += 1050 * size
y = (2050 * size) - y
# Store translated coordinates, with x,y offset
data['x'] = x + offset[0]
data['y'] = y + offset[1]
## Draw the edges
edges_group = dwg.add(dwg.g())
for edge, data in self.edges.items():
# Pull out the sources and targets
source = data['source']
target = data['target']
# Find the coordinates of each source and target
start = (self.nodes[source]['x'], self.nodes[source]['y'])
end = (self.nodes[target]['x'], self.nodes[target]['y'])
# Shorten the line so it doesn't overlap the symbol
source_size = ((float(self.nodes[source]['size']) * 5) / 2) * size
target_size = ((float(self.nodes[target]['size']) * 5) / 2) * size
edge_style = None
# First set the edge style to the default of 'None', so if there isn't a connection type a line is still drawn
for es in style['edges']:
if es['label'] == None:
edge_style = es
# Then go over the connections again and if there is a matching connection type, set that as the edge_style
for es in style['edges']:
for v in data.values():
if es['label'] == v:
edge_style = es
break
if curved == False:
if edge_style['stroke-case'] > 0:
if edge_style['stroke-dasharray'] is None:
edges_group.add(
dwg.line(start=start,
end=end,
stroke=edge_style['stroke-case-color'],
stroke_width=edge_style['stroke-case']))
else:
edges_group.add(
dwg.line(
start=start,
end=end,
stroke=edge_style['stroke-case-color'],
stroke_width=edge_style['stroke-case'],
stroke_dasharray=edge_style['stroke-dasharray']
))
if edge_style['stroke-dasharray'] is None:
edges_group.add(
dwg.line(start=start,
end=end,
stroke=edge_style['stroke'],
stroke_width=edge_style['stroke-width']))
else:
edges_group.add(
dwg.line(
start=start,
end=end,
stroke=edge_style['stroke'],
stroke_width=edge_style['stroke-width'],
stroke_dasharray=edge_style['stroke-dasharray']))
arrowhead_size = 5 * size
offset = calculate_edge_offset(start, end, target_size)
arrowhead_geom = arrowhead(start[0],
start[1],
offset[0],
offset[1],
r=arrowhead_size)
if edge_style['stroke-case'] > 0:
fill = edge_style['stroke-case-color']
else:
fill = edge_style['stroke']
edges_group.add(dwg.polygon(arrowhead_geom, fill=fill))
else:
path = draw_curved_path(dwg, start, end, edge_style)
if edge_style['stroke-case'] > 0:
edges_group.add(path[1])
edges_group.add(path[0])
else:
edges_group.add(path)
# Calculate arrowhead angle
angle = angle_between_points(start, end)
control_points = calculate_control_points(start, end)
arrowhead_size = 5 * size
crv = BSpline.Curve()
crv.degree = 2
if (start[0] > end[0]):
crv.ctrlpts = [start, control_points[0], end]
else:
crv.ctrlpts = [start, control_points[1], end]
crv.knotvector = utilities.generate_knot_vector(
crv.degree, len(crv.ctrlpts))
crv.delta = 0.05
curve_points = crv.evalpts
l = LineString(curve_points)
p = Point(end[0], end[1])
c = p.buffer(target_size).boundary
i = c.intersection(l)
# If the nodes are too close together, i sometimes returns empty, therefore don't draw the arrowhead
try:
if (start[0] > end[0]):
arrowhead_geom = arrowhead(control_points[0][0],
control_points[0][1],
i.coords[0][0],
i.coords[0][1],
r=arrowhead_size)
else:
arrowhead_geom = arrowhead(control_points[1][0],
control_points[1][1],
i.coords[0][0],
i.coords[0][1],
r=arrowhead_size)
except:
pass
#offset = calculate_edge_offset(start, end, target_size)
#if (start[0] > end[0]):
# arrowhead_geom = arrowhead(control_points[0][0], control_points[0][1], offset[0], offset[1], r=arrowhead_size)
#else:
# arrowhead_geom = arrowhead(control_points[1][0], control_points[1][1], offset[0], offset[1], r=arrowhead_size)
if edge_style['stroke-case'] > 0:
fill = edge_style['stroke-case-color']
else:
fill = edge_style['stroke']
edges_group.add(dwg.polygon(arrowhead_geom, fill=fill))
## Now draw the nodes
nodes_group = dwg.add(dwg.g())
for node, data in self.nodes.items():
x = data['x']
y = data['y']
node_size = (node_scale * (float(data['size']) * size),
node_scale * (float(data['size'])) * size)
circle = nodes_group.add(
dwg.circle(stroke='none',
fill=style['background']['color'],
center=(x, y),
r=node_size[0] / 2))
# Get the symbology or colour scheme
for node_style in style['nodes']:
for v in data.values():
if node_style['label'] == v:
with open(node_style['symbol'], 'rb') as file:
img = file.read()
encoded = base64.b64encode(img).decode()
svgdata = 'data:image/svg+xml;base64,{}'.format(
encoded)
image = nodes_group.add(
dwg.image(href=svgdata,
insert=(x - (node_size[0] / 2),
y - (node_size[0] / 2)),
size=node_size))
# Add the labels
for node, data in self.nodes.items():
x = data['x']
y = data['y']
node_size = (node_scale * (float(data['size']) * size),
node_scale * (float(data['size'])) * size)
font_size = (node_size[0] * size) * label_correction
label = nodes_group.add(
dwg.text(text=node,
insert=(x, y + (node_size[0] * 0.2)),
font_size=font_size,
text_anchor='middle',
font_family=style['label']['font-family'],
fill=style['label']['fill']))
dwg.save()
# # Draw the control points polygon, the 3D curve and the vectors
# fig = plt.figure('figure X', figsize=(10.67, 8), dpi= 96)
# ax = Axes3D(fig)
for j in range(curve_geometry.NbPoles):
data = model_part.GetNode(j + 1).X, model_part.GetNode(
j + 1).Y, model_part.GetNode(j + 1).Z
ctlpts_list.write(
str(model_part.GetNode(j + 1).X) + ',' +
str(model_part.GetNode(j + 1).Y) + ',' +
str(model_part.GetNode(j + 1).Z) + '\n')
ctlpts_list.close()
plot_curve.ctrlpts = exchange.import_txt(
"C:\_Masterarbeit\BeamValidation\python_base\Balken\ctlpts_list.txt")
plot_curve.knotvector = utilities.generate_knot_vector(
plot_curve.degree, len(plot_curve.ctrlpts))
# Set evaluation delta
# plot_curve.delta = 0.001
# plot_curve.evaluate
# add to mulit_curve
multi_curve.add(plot_curve)
# Set evaluation delta
multi_curve.delta = 0.001
# multi_curve.evaluate
# plot the controlpoint polygon and the evaluated curve
vis_comp = VisMPL.VisCurve3D()
multi_curve.vis = vis_comp
multi_curve
multi_curve.render(cpcolor='black', evalcolor='red')
[274, 438], [193, 436], [150, 525], [204, 604]]
pts_c = [[204, 604], [284, 612], [387, 577], [485, 475], [430,
366], [325, 231],
[274, 438], [193, 436], [150, 525], [204, 604], [284, 612],
[387, 577]]
#pts = [[204, 604], [284, 612], [430, 366], [274, 438], [193, 436], [204, 604]]
#pts_c = [[204, 604], [284, 612], [430, 366], [274, 438], [193, 436], [204, 604], [284, 612], [430, 366]]
#radius = max([functions.euclid_dist(center, p) for p in pts])
curves_1 = []
curves_0 = []
curve.degree = 3 # order = degree + 1
curve.ctrlpts = pts_c
curve.knotvector = utilities.generate_knot_vector(curve.degree,
len(curve.ctrlpts),
clamped=False)
curve_list = operations.decompose_curve(curve)
knot_vectors = []
radius = 0
for c in curve_list:
knot_vectors.append(c.knotvector)
curves_0.append(c)
radius = max(radius,
max([functions.euclid_dist(center, p) for p in c.ctrlpts]))
base_pts = [(p[0], p[1]) for c in curve_list for p in c.ctrlpts]
x, y, r = make_circle(base_pts) # O(n)
center = (x, y)
radius = r
