From 347ad577e0344ccf93345377f9b1f5d79227bfbd Mon Sep 17 00:00:00 2001
From: Amritpal Singh <124516230+amritpalsingh52@users.noreply.github.com>
Date: Tue, 3 Oct 2023 21:35:04 +0530
Subject: [PATCH] added a program solution that show BSpline curve

B-splines are a generalization of Bezier curves and offer more control points, allowing for smoother and more complex curves. They are commonly used in computer-aided design (CAD) and computer graphics
if ypou find my solution valid then please merge it and label it as hacktoberfest
---
 graphics/Bspline_curve.py | 25 +++++++++++++++++++++++++
 1 file changed, 25 insertions(+)
 create mode 100644 graphics/Bspline_curve.py

diff --git a/graphics/Bspline_curve.py b/graphics/Bspline_curve.py
new file mode 100644
index 000000000000..f8b46c662d56
--- /dev/null
+++ b/graphics/Bspline_curve.py
@@ -0,0 +1,25 @@
+import numpy as np
+import matplotlib.pyplot as plt
+from scipy.interpolate import BSpline
+
+# Define control points (x, y)
+control_points = np.array([[1, 2], [2, 3], [3, 5], [4, 4], [5, 2]])
+
+# Create B-spline object with degree=3 (cubic B-spline)
+degree = 3
+t = range(len(control_points) + degree + 1)
+spl = BSpline(t, control_points, degree)
+
+# Evaluate the B-spline curve
+num_points = 1000
+curve_points = np.array([spl(i) for i in np.linspace(0, len(control_points) - degree, num_points)])
+
+# Plot control points and B-spline curve
+plt.plot(control_points[:, 0], control_points[:, 1], 'ro-', label='Control Points')
+plt.plot(curve_points[:, 0], curve_points[:, 1], 'b-', label='B-spline Curve')
+plt.xlabel('X')
+plt.ylabel('Y')
+plt.legend()
+plt.title('B-spline Curve')
+plt.grid(True)
+plt.show()