def build_circle(x0, y0, r):
angle = radians(linspace(0, 360, 50))
x_norm, y_norm = cos(angle), sin(angle)
return local_to_coordinates(x_norm * r, y_norm * r, x0, y0)
def build_ellips(x0, y0, a, b, theta):
angle = radians(linspace(0, 360, 50))
x = a * cos(theta) * cos(angle) - b * sin(theta) * sin(angle)
y = a * sin(theta) * cos(angle) + b * cos(theta) * sin(angle)
return local_to_coordinates(x, y, x0, y0)
def build_ellips(x0, y0, a, b, theta):
angle = radians(linspace(0, 360, 50))
x = a * cos(theta) * cos(angle) - b * sin(theta) * sin(angle)
y = a * sin(theta) * cos(angle) + b * cos(theta) * sin(angle)
return local_to_coordinates(x, y, x0, y0)
# %%
# Plot fitted circle or ellips on stored contour
xs, ys = a.contour_lon_s, a.contour_lat_s
fig = plt.figure(figsize=(15, 15))
j = 1
for i in range(0, 800, 30):
x, y = xs[i], ys[i]
x0_, y0_ = x.mean(), y.mean()
x_, y_ = coordinates_to_local(x, y, x0_, y0_)
ax = fig.add_subplot(4, 4, j)
ax.grid(), ax.set_aspect("equal")
ax.plot(x, y, label="store", color="black")
x0, y0, a, b, theta = fit_ellips(x_, y_)
x0, y0 = local_to_coordinates(x0, y0, x0_, y0_)
ax.plot(*build_ellips(x0, y0, a, b, theta), label="ellips", color="green")
x0, y0, radius, shape_error = fit_circle_(x_, y_)
x0, y0 = local_to_coordinates(x0, y0, x0_, y0_)
ax.plot(*build_circle(x0, y0, radius), label="circle", color="red", lw=0.5)
if j == 16:
break
j += 1