I have a script to write a heatmap (or contour map) inside an arbitrary closed shape. A bounding box of grid points is created and a mask is used to clip any points outside of the shape. However, if I want to create a stacked plot of these maps (to show changes along a fourth dimension), the grid points are painted black.
Here is the script for a single plot:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.path import Path
from scipy.interpolate import griddata
arbitrary_shape_points = [
(0.0, 0.5), (0.1, 0.6), (0.3, 0.55), (0.5, 0.4), (0.6, 0.2), # Top curve
(0.65, 0.0), (0.6, -0.2), (0.5, -0.4), (0.3, -0.55), (0.1, -0.6), # Bottom curve right
(0.0, -0.5), (-0.1, -0.6), (-0.3, -0.55), (-0.5, -0.4), (-0.6, -0.2), # Bottom curve left
(-0.65, 0.0), (-0.6, 0.2), (-0.5, 0.4), (-0.3, 0.55), (-0.1, 0.6), # Top curve left
(0.0, 0.5) # Closing point
]
shape_path = Path(arbitrary_shape_points)
np.random.seed(42)
num_points = 100
x_data = np.random.uniform(-0.7, 0.7, num_points)
y_data = np.random.uniform(-0.7, 0.7, num_points)
z_data = np.pi*np.sin(np.pi * x_data) + np.exp(-np.pi*y_data)
# Bounding box
shape_xmin = min([p[0] for p in arbitrary_shape_points[:-1]])
shape_ymin = min([p[1] for p in arbitrary_shape_points[:-1]])
shape_xmax = max([p[0] for p in arbitrary_shape_points[:-1]])
shape_ymax = max([p[1] for p in arbitrary_shape_points[:-1]])
# Grid
grid_resolution = 500
x_grid = np.linspace(shape_xmin, shape_xmax, grid_resolution)
y_grid = np.linspace(shape_ymin, shape_ymax, grid_resolution)
xx, yy = np.meshgrid(x_grid, y_grid)
# Interpolate data
interpolation_method = 'cubic'
zz_interpolated = griddata((x_data, y_data), z_data, (xx, yy), method=interpolation_method)
# Mask the grid outside the shape
grid_points = np.column_stack((xx.flatten(), yy.flatten()))
mask = shape_path.contains_points(grid_points).reshape(xx.shape)
zz_masked = np.where(mask, zz_interpolated, np.nan)
# Plot Heatmap using pcolormesh
plt.figure(figsize=(8, 6))
heatmap = plt.pcolormesh(xx, yy, zz_masked, cmap='viridis', shading='auto')
plt.colorbar(heatmap, label='Z Value')
plt.legend()
plt.title('Heatmap within Arbitrary Shape')
plt.xlabel('X')
plt.ylabel('Y')
x_shape_original, y_shape_original = zip(*arbitrary_shape_points)
plt.plot(x_shape_original, y_shape_original, 'k-', linewidth=1)
# create whitespace around the bounding box
whitespace_factor = 1.2
plt.xlim(shape_xmin * whitespace_factor, shape_xmax * whitespace_factor)
plt.ylim(shape_ymin * whitespace_factor, shape_ymax * whitespace_factor)
plt.gca().set_aspect('equal', adjustable='box')
plt.show()
This is the stacked plot script:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.path import Path
from scipy.interpolate import griddata
arbitrary_shape_points = [
(0.0, 0.5), (0.1, 0.6), (0.3, 0.55), (0.5, 0.4), (0.6, 0.2), # Top curve
(0.65, 0.0), (0.6, -0.2), (0.5, -0.4), (0.3, -0.55), (0.1, -0.6), # Bottom curve right
(0.0, -0.5), (-0.1, -0.6), (-0.3, -0.55), (-0.5, -0.4), (-0.6, -0.2), # Bottom curve left
(-0.65, 0.0), (-0.6, 0.2), (-0.5, 0.4), (-0.3, 0.55), (-0.1, 0.6), # Top curve left
(0.0, 0.5) # Closing point
]
shape_path = Path(arbitrary_shape_points)
np.random.seed(42)
num_points = 100
x_data = np.random.uniform(-0.7, 0.7, num_points)
y_data = np.random.uniform(-0.7, 0.7, num_points)
fourth_dimension_values = np.linspace(0, 1, 5)
shape_xmin = min([p[0] for p in arbitrary_shape_points[:-1]])
shape_ymin = min([p[1] for p in arbitrary_shape_points[:-1]])
shape_xmax = max([p[0] for p in arbitrary_shape_points[:-1]])
shape_ymax = max([p[1] for p in arbitrary_shape_points[:-1]])
grid_resolution = 100
x_grid = np.linspace(shape_xmin, shape_xmax, grid_resolution)
y_grid = np.linspace(shape_ymin, shape_ymax, grid_resolution)
xx, yy = np.meshgrid(x_grid, y_grid)
grid_points = np.column_stack((xx.flatten(), yy.flatten()))
mask = shape_path.contains_points(grid_points).reshape(xx.shape)
interpolation_method = 'cubic'
fig = plt.figure(figsize=(10, 8), facecolor=(0, 0, 0, 0))
ax = fig.add_subplot(111, projection='3d', facecolor=(0, 0, 0, 0))
z_offset = 0
z_step = 1
for i, fd_value in enumerate(fourth_dimension_values):
z_data = np.pi*np.sin(np.pi * x_data) + np.exp(-np.pi*y_data) + fd_value
zz_interpolated = griddata((x_data, y_data), z_data, (xx, yy), method=interpolation_method)
# Mask the grid outside the shape
zz_masked = np.where(mask, zz_interpolated, np.nan)
# Prepare Z values for 3D plot - constant Z for each slice, offset along z-axis
z_surface = np.full_like(xx, z_offset + i * z_step)
z_min_slice = np.nanmin(zz_masked)
z_max_slice = np.nanmax(zz_masked)
if z_max_slice > z_min_slice:
zz_normalized = (zz_masked - z_min_slice) / (z_max_slice - z_min_slice)
else:
zz_normalized = np.zeros_like(zz_masked)
# Create facecolors from normalized data
facecolors_heatmap = plt.cm.viridis(zz_normalized)
# Make masked areas fully transparent
facecolors_heatmap[np.isnan(zz_masked)] = [0, 0, 0, 0]
# Plot each heatmap slice as a surface
surf = ax.plot_surface(xx, yy, z_surface, facecolors=facecolors_heatmap, linewidth=0, antialiased=False, shade=False, alpha=0.8, rstride=1, cstride=1)
ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Fourth Dimension Index')
ax.set_title('Stacked Heatmaps along Fourth Dimension')
ax.view_init(elev=30, azim=-45)
ax.set_box_aspect([np.diff(ax.get_xlim())[0], np.diff(ax.get_ylim())[0], np.diff(ax.get_zlim())[0]*0.5])
plt.show()
I am not sure how to stop the black border from appearing. I tried setting those points to be transparent but that does not do anything.
try channging:
# Plot each heatmap slice as a surface
surf = ax.plot_surface(xx, yy, z_surface, facecolors=facecolors_heatmap, linewidth=0, antialiased=False, shade=False, alpha=0.8, rstride=1, cstride=1)
to:
# Plot each heatmap slice as a surface
surf = ax.plot_surface(np.where(mask, xx, np.nan), yy, z_surface, facecolors=facecolors_heatmap, linewidth=0, antialiased=False, shade=False, alpha=0.8, rstride=1, cstride=1)
I get this pic , from Online Matplotlib Compiler that uses Matplotlib: 3.8.4 :