Added voronoi support

This commit is contained in:
Jacob Holder 2023-03-03 12:00:36 +01:00
parent 489f8afd4f
commit e94736f524
Signed by: jacob
GPG Key ID: 2194FC747048A7FD
4 changed files with 217 additions and 154 deletions

View File

@ -4,15 +4,15 @@ import cv2
class Image_Wrapper:
def __init__(self, img, x_lower, x_res, y_lower, y_res):
self.img = img
self.x_lower = x_lower
self.y_lower = y_lower
self.x_res = x_res
self.y_res = y_res
# def __init__(self, img, x_lower, x_res, y_lower, y_res):
# self.img = img
# self.x_lower = x_lower
# self.y_lower = y_lower
# self.x_res = x_res
# self.y_res = y_res
self.x_upper = self.x_lower + self.img.shape[0]*self.x_res - self.x_res
self.y_upper = self.y_lower + self.img.shape[1]*self.y_res - self.x_res
# self.x_upper = self.x_lower + self.img.shape[0]*self.x_res - self.x_res
# self.y_upper = self.y_lower + self.img.shape[1]*self.y_res - self.x_res
def __init__(self, img, fx, fy):
self.img = img
@ -61,11 +61,41 @@ class Image_Wrapper:
return [self.x_lower, self.x_upper, self.y_lower, self.y_upper]
class Voronoi_Evaluator:
def __init__(self, points, eval_points):
self.eval_points = eval_points
self.vor = Voronoi(points)
class Evaluator:
def extract(self, img: Image_Wrapper):
all_val = []
all_idx = []
for ev_points in self.eval_points:
temp_val = []
temp_idx = []
for num in ev_points:
if np.sum(self.mask == num) == 0:
# print("Empty: ",num)
continue
temp_val.append(np.mean(img.img[self.mask == num]))
temp_idx.append(num)
all_val.append(temp_val)
all_idx.append(temp_idx)
all_val.append([np.mean(img.img[self.mask == -1])])
all_idx.append([-1])
return all_idx, all_val
def debug(self, img: Image_Wrapper):
count = 1
for ev_points in self.eval_points:
if count != 1 and False:
count += 1
continue
for num in ev_points:
img.img[self.mask == num] += 10000 * num
count += 1
return img.img
def get_mask(self):
return self.mask
class Voronoi_Evaluator(Evaluator):
def __init__(self, list_points):
points = np.concatenate(list_points, axis=0)
self.eval_points = []
@ -76,59 +106,35 @@ class Voronoi_Evaluator:
start += stop
self.vor = Voronoi(points)
def extract(self, img: Image_Wrapper):
all = []
for ev_points in self.eval_points:
temp = []
region_mask = self.vor.point_region[ev_points]
for i in np.array(self.vor.regions)[region_mask]:
if -1 in i:
print("Contains outside points")
continue
if len(i) == 0:
print("Contains outside points")
continue
pts = self.vor.vertices[i]
pts = np.stack(img.val2pos(
pts[:, 0], pts[:, 1])).astype(np.int32).T
mask = np.zeros_like(img.img)
cv2.fillConvexPoly(mask, pts, 1)
mask = mask > 0 # To convert to Boolean
temp.append(img.img[mask])
img.img[mask] = -1
all.append(temp)
return all
def generate_mask(self, img: Image_Wrapper):
self.mask = np.full_like(img.img, -1)
def extract_paint(self, img: Image_Wrapper):
counter = 1
for ev_points in self.eval_points:
region_mask = self.vor.point_region[ev_points]
print(region_mask)
for i in np.array(self.vor.regions)[region_mask]:
if -1 in i:
print("Contains outside points")
continue
if len(i) == 0:
print("Contains outside points")
continue
pts = self.vor.vertices[i]
pts = np.stack(img.val2pos(
pts[:, 0], pts[:, 1])).astype(np.int32).T
mask = np.zeros_like(img.img)
cv2.fillConvexPoly(mask, pts, 1)
mask = mask > 0 # To convert to Boolean
img.img[mask] = counter
counter += 1
return img.img
counter = -1
region_mask = self.vor.point_region
for i in np.array(self.vor.regions, dtype=list)[region_mask]:
counter += 1
if -1 in i:
continue
if len(i) == 0:
continue
pts = self.vor.vertices[i]
pts = np.stack(img.val2pos(
pts[:, 0], pts[:, 1])).astype(np.int32).T
if np.any(pts < 0):
continue
mask = np.zeros_like(img.img)
cv2.fillConvexPoly(mask, pts, 1)
mask = mask > 0 # To convert to Boolean
self.mask[mask] = counter
class Rect_Evaluator:
def __init__(self, points, eval_points):
self.eval_points = eval_points
self.points = points
self.length = 4
class Rect_Evaluator(Evaluator):
# def __init__(self, points, eval_points):
# self.eval_points = eval_points
# self.points = points
# self.length = 4
def __init__(self, list_points):
def __init__(self, list_points, length=4):
self.points = np.concatenate(list_points, axis=0)
self.eval_points = []
start = 0
@ -136,43 +142,26 @@ class Rect_Evaluator:
stop = l.shape[0]
self.eval_points.append(np.arange(start, start + stop))
start += stop
print(start)
print(self.points.shape)
print(start, " from ")
self.length = 4
self.length = length
def extract(self, img: Image_Wrapper):
all = []
for ev_points in self.eval_points:
temp = []
for x, y in self.points[ev_points]:
x, y = img.val2pos(x, y)
x_lower = int(x - self.length)
y_lower = int(y - self.length)
x_upper = int(x + self.length + 1)
y_upper = int(y + self.length + 1)
if img.check_bounds(x_lower, y_lower, x_upper, y_upper):
x_lower, y_lower, x_upper, y_upper = img.clean_bounds(
x_lower, y_lower, x_upper, y_upper)
temp.append(img.img[x_lower:x_upper])
all.append(temp)
def generate_mask(self, img: Image_Wrapper):
self.mask = np.full_like(img.img, -1)
count = 0
for x, y in self.points:
x, y = img.val2pos(x, y)
x_lower = int(x - self.length)
y_lower = int(y - self.length)
x_upper = int(x + self.length + 1)
y_upper = int(y + self.length + 1)
if img.check_bounds(x_lower, y_lower, x_upper, y_upper):
x_lower, y_lower, x_upper, y_upper = img.clean_bounds(
x_lower, y_lower, x_upper, y_upper)
self.mask[y_lower:y_upper, x_lower:x_upper] = count
count += 1
return all
def extract_paint(self, img: Image_Wrapper):
val = np.nan
for ev_points in self.eval_points:
for x, y in self.points[ev_points]:
x, y = img.val2pos(x, y)
x_lower = int(x - self.length)
y_lower = int(y - self.length)
x_upper = int(x + self.length + 1)
y_upper = int(y + self.length + 1)
if img.check_bounds(x_lower, y_lower, x_upper, y_upper):
x_lower, y_lower, x_upper, y_upper = img.clean_bounds(
x_lower, y_lower, x_upper, y_upper)
img.img[y_lower:y_upper, x_lower:x_upper] = val
return img.img
#
# def main():
# np.random.seed(10)

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@ -29,8 +29,8 @@ class SCC_Lattice(Lattice):
return self.X, self.Y
def reci(self):
x = np.arange(-3, 3) * 0.2
y = np.arange(-3, 3) * 0.2
x = np.arange(-3, 4) * 0.2
y = np.arange(-3, 4) * 0.2
X, Y = np.meshgrid(x, y)
return [(X, Y)]
@ -104,8 +104,10 @@ class VO2_Lattice(Lattice):
return inplace_pos_x, inplace_pos_y
def reci_rutile(self):
x = np.arange(-20, 21)
y = np.arange(-20, 21)
num = 20
num = 2
x = np.arange(-num, num + 1)
y = np.arange(-num, num + 1)
X, Y = np.meshgrid(x, y)
return (X * 0.22 + Y * 0.44).flatten(), (X * 0.349).flatten()

View File

@ -49,7 +49,7 @@ class Plotter:
intens,
extent=(np.min(freqx), np.max(freqx),
np.min(freqy), np.max(freqy)),
#vmax=vmax,
# vmax=vmax,
cmap="viridis",
origin="lower"
)
@ -83,6 +83,20 @@ def test_square():
plt.show()
def helper(intens, fx, fy, voro, rect):
print(np.mean(intens))
v_idx, v_val = voro.extract(Image_Wrapper(intens, fx, fy))
r_idx, r_val = rect.extract(Image_Wrapper(intens, fx, fy))
for iv, av, ir, ar in zip(v_idx, v_val, r_idx, r_val):
av = np.array(av)
ar = np.array(ar)
mask = np.isin(ir, iv)
print("Test: ", np.all(np.isclose(
ar[mask], av)), np.isclose(ar[mask], av))
print(iv, "\n", ar[mask], "\n", av, "\n\n\n")
def test_mixed():
LEN = 40
lat = VO2_Lattice(LEN, LEN)
@ -90,17 +104,20 @@ def test_mixed():
all_rutile = np.stack(lat.reci()[0]).T
all_mono = np.stack(lat.reci()[1]).T
all_mono2 = np.stack(lat.reci()[2]).T
rect = Voronoi_Evaluator([all_rutile, all_mono, all_mono2])
voro = Voronoi_Evaluator([all_rutile, all_mono, all_mono2])
rect = Rect_Evaluator([all_rutile, all_mono, all_mono2])
#voro = Voronoi_Evaluator([all_mono])
#rect = Rect_Evaluator([all_mono])
pos_x, pos_y = lat.get_from_mask(np.zeros((40, 40)))
si = SpinImage(pos_x, pos_y)
si.pad_it_square(10)
fx, fy, intens_rutile = si.fft()
si.pad_it_square(10, size=2300)
fx, fy, intens_mono = si.fft()
pos_x, pos_y = lat.get_from_mask(np.ones((40, 40)))
si = SpinImage(pos_x, pos_y)
si.pad_it_square(10)
fx, fy, intens_mono = si.fft()
si.pad_it_square(10, size=2300)
fx, fy, intens_rutile = si.fft()
mask_misk = np.ones((40, 40))
ind = np.arange(mask_misk.size)
@ -108,44 +125,80 @@ def test_mixed():
mask_misk[np.unravel_index(ind[:800], (40, 40))] = False
pos_x, pos_y = lat.get_from_mask(mask_misk)
si = SpinImage(pos_x, pos_y)
si.pad_it_square(10)
si.pad_it_square(10, size=2300)
fx, fy, intens_mixed = si.fft()
img = Image_Wrapper(intens_mono, fx, fy)
voro.generate_mask(img)
rect.generate_mask(Image_Wrapper(intens_mono, fx, fy))
intens_rutile = rect.extract_paint(
Image_Wrapper(intens_rutile, fx=fx, fy=fy))
intens_mono = rect.extract_paint(
Image_Wrapper(intens_mono, fx=fx, fy=fy))
intens_mixed = rect.extract_paint(
Image_Wrapper(intens_mixed, fx=fx, fy=fy))
fig, axs = plt.subplots(1, 2)
axs[0].imshow(rect.get_mask(), extent=img.ext(), origin="lower")
axs[0].plot(all_rutile[:, 0], all_rutile[:, 1], ".")
axs[1].plot(all_rutile[:, 0], all_rutile[:, 1], ".")
axs[0].plot(all_mono[:, 0], all_mono[:, 1], ".")
axs[1].plot(all_mono[:, 0], all_mono[:, 1], ".")
axs[0].plot(all_mono2[:, 0], all_mono2[:, 1], ".")
axs[1].plot(all_mono2[:, 0], all_mono2[:, 1], ".")
axs[1].imshow(voro.get_mask(), extent=img.ext(), origin="lower")
print("mono")
helper(intens=intens_mono, fx=fx, fy=fy, voro=voro, rect=rect)
print("mixed")
helper(intens=intens_mixed, fx=fx, fy=fy, voro=voro, rect=rect)
print("rutile")
helper(intens=intens_rutile, fx=fx, fy=fy, voro=voro, rect=rect)
new_intens_mono = rect.debug(Image_Wrapper(intens_mono, fx, fy))
new_intens_mixed = rect.debug(Image_Wrapper(intens_mixed, fx, fy))
new_intens_rutile = rect.debug(Image_Wrapper(intens_rutile, fx, fy))
fig, axs = plt.subplots(2, 3)
plot.plot(freqx=fx, freqy=fy, intens=intens_rutile,
plot.plot(freqx=fx, freqy=fy, intens=new_intens_rutile,
ax_log=axs[0, 0], ax_lin=axs[1, 0], vmax=10e7)
plot.plot(freqx=fx, freqy=fy, intens=intens_mono,
plot.plot(freqx=fx, freqy=fy, intens=new_intens_mono,
ax_log=axs[0, 2], ax_lin=axs[1, 2], vmax=10e7)
plot.plot(freqx=fx, freqy=fy, intens=intens_mixed,
plot.plot(freqx=fx, freqy=fy, intens=new_intens_mixed,
ax_log=axs[0, 1], ax_lin=axs[1, 1], vmax=10e7)
for ax in axs.flatten():
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
plt.show()
new_intens_mono = voro.debug(Image_Wrapper(new_intens_mono, fx, fy))
new_intens_mixed = voro.debug(Image_Wrapper(intens_mixed, fx, fy))
new_intens_rutile = voro.debug(Image_Wrapper(intens_rutile, fx, fy))
fig, axs = plt.subplots(2, 3)
plot.plot(freqx=fx, freqy=fy, intens=new_intens_rutile,
ax_log=axs[0, 0], ax_lin=axs[1, 0], vmax=10e7)
plot.plot(freqx=fx, freqy=fy, intens=new_intens_mono,
ax_log=axs[0, 2], ax_lin=axs[1, 2], vmax=10e7)
plot.plot(freqx=fx, freqy=fy, intens=new_intens_mixed,
ax_log=axs[0, 1], ax_lin=axs[1, 1], vmax=10e7)
for ax in axs.flatten():
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
def random(seed):
np.random.seed(seed)
LEN = 40
lat = VO2_Lattice(LEN, LEN)
plot = Plotter(lat)
maske = np.zeros((LEN, LEN))
ind = np.arange(LEN * LEN)
np.random.shuffle(ind)
reci_lattice = lat.reci()
all_rutile = np.stack(lat.reci()[0]).T
all_mono = np.stack(lat.reci()[1]).T
all_mono2 = np.stack(lat.reci()[2]).T
voro = Voronoi_Evaluator([all_rutile, all_mono, all_mono2])
rect = Rect_Evaluator([all_rutile, all_mono, all_mono2])
out = [[] for x in range(len(reci_lattice))]
out_rect = [[] for x in range(len(lat.reci())+1)]
out_voro = [[] for x in range(len(lat.reci())+1)]
percentage = []
counter = 0
already_inited = False
for i in tqdm.tqdm(ind):
maske[np.unravel_index(i, (LEN, LEN))] = True
counter += 1
@ -154,24 +207,31 @@ def random(seed):
pos_x, pos_y = lat.get_from_mask(maske)
si = SpinImage(pos_x, pos_y)
si.pad_it_square(10)
si.pad_it_square(10, size=2300)
fx, fy, intens = si.fft()
img = Image_Wrapper(intens, fx, fy)
if not already_inited:
voro.generate_mask(img)
rect.generate_mask(img)
already_inited = True
for tup, lis in zip(reci_lattice, out):
point_x, point_y = tup
point_x = point_x.flatten()
point_y = point_y.flatten()
peaks = []
for px, py in zip(point_x, point_y):
peaks.append(np.sum(plot.extract_rect(intens, px, py, fx, fy)))
lis.append(peaks)
iv, vv = voro.extract(img)
ir, vr = rect.extract(img)
for lis, val in zip(out_rect, vr):
lis.append(val)
for lis, val in zip(out_voro, vv):
lis.append(val)
percentage.append(np.sum(maske))
percentage = np.array(percentage)
percentage /= np.max(percentage)
np.savez(f"random_{seed}.npz", percentage=percentage, out=out)
np.savez(f"random_rect_{seed}.npz",
percentage=percentage, out_1=out_rect[0],
out_2=out_rect[1], out_3=out_rect[2], out_4=out_rect[3])
np.savez(f"random_voro_{seed}.npz",
percentage=percentage, out_1=out_voro[0],
out_2=out_voro[1], out_3=out_voro[2], out_4=out_voro[3])
def sample_index(p):
@ -181,17 +241,22 @@ def sample_index(p):
def ising(seed):
np.random.seed(seed)
LEN = 80
LEN = 40
temp = 0.1
maske = np.zeros((LEN, LEN), dtype=bool)
lat = VO2_Lattice(LEN, LEN)
plot = Plotter(lat)
all_rutile = np.stack(lat.reci()[0]).T
all_mono = np.stack(lat.reci()[1]).T
all_mono2 = np.stack(lat.reci()[2]).T
voro = Voronoi_Evaluator([all_rutile, all_mono, all_mono2])
rect = Rect_Evaluator([all_rutile, all_mono, all_mono2])
reci_lattice = lat.reci()
out = [[] for x in range(len(reci_lattice))]
out_rect = [[] for x in range(len(lat.reci())+1)]
out_voro = [[] for x in range(len(lat.reci())+1)]
percentage = []
counter = 0
already_inited = False
for i in tqdm.tqdm(range(LEN*LEN)):
probability = np.roll(maske, 1, axis=0).astype(float)
probability += np.roll(maske, -1, axis=0).astype(float)
@ -206,30 +271,34 @@ def ising(seed):
counter += 1
if np.mod(counter, 100) != 0:
continue
pos_x, pos_y = lat.get_from_mask(maske)
si = SpinImage(pos_x, pos_y)
si.pad_it_square(10)
# si.gaussian(LEN)
si.pad_it_square(10, size=2300)
fx, fy, intens = si.fft()
img = Image_Wrapper(intens, fx, fy)
if not already_inited:
voro.generate_mask(img)
rect.generate_mask(img)
already_inited = True
for tup, lis in zip(reci_lattice, out):
point_x, point_y = tup
point_x = point_x.flatten()
point_y = point_y.flatten()
peaks = []
for px, py in zip(point_x, point_y):
peaks.append(np.sum(plot.extract_rect(intens, px, py, fx, fy)))
iv, vv = voro.extract(img)
ir, vr = rect.extract(img)
for lis, val in zip(out_rect, vr):
lis.append(val)
for lis, val in zip(out_voro, vv):
lis.append(val)
percentage.append(np.sum(maske))
lis.append(peaks)
percentage.append(np.mean(maske))
percentage = np.array(percentage)
percentage = np.array(percentage, dtype=np.float64)
percentage /= np.max(percentage)
np.savez(f"ising_{temp}_{seed}.npz", percentage=percentage, out=out)
# for o in out:
# plt.scatter(percentage, o/o[0])
# plt.plot([0, 1], [1, o[-1]/o[0]])
# plt.pause(1)
np.savez(f"ising_rect_{seed}.npz",
percentage=percentage, out_1=out_rect[0],
out_2=out_rect[1], out_3=out_rect[2], out_4=out_rect[3])
np.savez(f"ising_voro_{seed}.npz",
percentage=percentage, out_1=out_voro[0],
out_2=out_voro[1], out_3=out_voro[2], out_4=out_voro[3])
if __name__ == "__main__":
@ -238,7 +307,7 @@ if __name__ == "__main__":
plt.show()
# random()
np.random.seed(1234)
for i in np.random.randint(0, 10000, 2):
for i in np.random.randint(0, 10000, 1):
random(i)
ising(i)

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@ -2,6 +2,7 @@ import numpy as np
import scipy.fftpack as sfft
import scipy
class SpinImage:
resolution = 0.1
@ -30,10 +31,12 @@ class SpinImage:
fft_freqy_clean = sfft.fftshift(fft_freqy)
return fft_freqx_clean, fft_freqy_clean, np.abs(Z_shift) ** 2
def pad_it_square(self, additional_pad=0):
def pad_it_square(self, additional_pad=0, size=None):
h = self.img.shape[0]
w = self.img.shape[1]
xx = np.maximum(h, w) + 2 * additional_pad
if size is not None:
xx = np.maximum(xx, size)
yy = xx
self.length_x = xx * self.resolution
self.length_y = yy * self.resolution
@ -49,9 +52,9 @@ class SpinImage:
def percentage_gaussian(self, mask, sigma):
x = np.linspace(-self.length_x / 2,
self.length_x / 2, mask.shape[0])
self.length_x / 2, mask.shape[0])
y = np.linspace(-self.length_y / 2,
self.length_y / 2, mask.shape[1])
self.length_y / 2, mask.shape[1])
X, Y = np.meshgrid(x, y)
z = (
1 / (2 * np.pi * sigma * sigma)