4_beizer_curve.py

import numpy as np
import matplotlib.pyplot as plt

control_points = np.array([
    [1, 2],  # P0: Start point
    [3, 8],  # P1: First control point
    [6, 1],  # P2: Second control point
    [9, 5]   # P3: End point
])

def bezier_curve(t, p):
    return (1-t)**3*p[0] + 3*(1-t)**2*t*p[1] + 3*(1-t)*t**2*p[2] + t**3*p[3]

t_values = np.linspace(0, 1, 100)
curve_points = np.array([bezier_curve(t, control_points) for t in t_values])

plt.figure(figsize=(7,7))
plt.plot(curve_points[:,0], curve_points[:,1], 'b-', label='Bezier Curve')
plt.plot(control_points[:,0], control_points[:,1], 'r--', label='Control Points')


plt.xlabel('X')
plt.ylabel('Y')
plt.xlim(0, 10)
plt.ylim(0, 10)
plt.title("Bezier Curve")
plt.gca().set_aspect('equal')
plt.grid(True, linestyle='--')
plt.legend()
plt.show()