Merge branch 'main' of https://github.com/prisong97/BSplines

README.md

@@ -1,6 +1,6 @@
 ## Experimentation with B-Splines
 
-This code implements and visualises the B-splines basis functions. We implement these functions from scratch. This is a good exercise to check that I am understanding what's going on under the hood.
+This code implements and visualises the B-splines basis functions. We implement these functions from scratch. 
 
 ### Dependencies
 - numpy 1.20.1
@@ -21,13 +21,25 @@ The resulting number of basis functions is given by = (# of knot points) - (degr
 
 #### Example 1: Cubic B-splines functions
 ```
-spline_degree = 3
-knots = [0,1/4,2/4,3/4,1]
-x_list = np.linspace(0,0.99999,1000)
+spline_degree1 = 3
+knots1 = [0,1/4,2/4,3/4,1]
+x_list1 = np.linspace(0,0.99999,1000)
 
-plots = Bspline_plots(x_list, knots, spline_degree=spline_degree)
+plots1 = Bsplines_plots(x_list1, knots1, spline_degree=spline_degree1)
 
-plots.plot_bases()
+plots1.plot_bases()
 ```
 ![Example 1](Bsplines/plots/example1-degree-3.png)
 
+#### Example 2: Quadratic B-splines functions
+```
+spline_degree2 = 2
+knots1 = [0,1,2,3,4,5]
+x_list1 = np.linspace(0,4.99999,1000)
+
+plots1 = Bsplines_plots(x_list2, knots2, spline_degree=spline_degree2)
+
+plots2.plot_bases()
+```
+![Example 1](Bsplines/plots/example2-degree-2.png)
+