plane_generate.py_

import numpy as np
import random
import plotly.graph_objects as go

# Reference point
ref_point = np.array([-0.1265, -0.1168, 0.5585])
circle_radius = 0.5  # Radius of the circular plane

# Parameters for data generation
num_points = 100  # Number of random points to generate

# Generate random points within the circular plane
generated_points = []
for _ in range(num_points):
    # Random radius (0 to circle_radius) and angle (0 to 2*pi)
    r = random.uniform(0, circle_radius)
    phi = random.uniform(0, 2 * np.pi)

    # Convert polar to Cartesian coordinates
    x = ref_point[0] + r * np.cos(phi)
    y = ref_point[1] + r * np.sin(phi)
    z = ref_point[2]  # Same z-plane as reference point

    generated_points.append([x, y, z])

# Convert to a NumPy array
generated_points = np.array(generated_points)

# Create a scatter plot for the generated points
fig = go.Figure()

# Add the reference point
fig.add_trace(go.Scatter3d(
    x=[ref_point[0]],
    y=[ref_point[1]],
    z=[ref_point[2]],
    mode='markers',
    marker=dict(size=8, color='red'),
    name='Reference Point'
))

# Add the generated points
fig.add_trace(go.Scatter3d(
    x=generated_points[:, 0],
    y=generated_points[:, 1],
    z=generated_points[:, 2],
    mode='markers',
    marker=dict(size=4, color='blue'),
    name='Generated Points'
))

# Update layout for better interaction
fig.update_layout(
    title='Interactive 3D Circular Plane',
    scene=dict(
        xaxis_title='X-axis',
        yaxis_title='Y-axis',
        zaxis_title='Z-axis',
        aspectmode='cube'  # Ensure equal scaling
    )
)

# Show the plot
fig.show()