- #1
mathmari
Gold Member
MHB
- 5,049
- 7
Hey! ![Eek! :eek: :eek:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
We want to construct a linear spline that at the points $x_0=-1$, $x_1=0$, $x_2=1$ has the values $b_0=0$, $b_1=1$ and $b_2=3$.
The spline should get from $S_{x,1}$ with $x=\{x_0, x_1, x_2\}$ to $[-1,1]$.
Do we want to find a function of the following form:
$$s(x)=\begin{cases}a_1x+b_1 & x\in [x_0, x_1] \\ a_2x+b_2 & x\in [x_1, x_2]\end{cases}$$
that satisfies the given values? (Wondering)
B-splines belong to a specific category of splines, right? What are the differences between the B-splines and other splines? (Wondering)
We want to construct a linear spline that at the points $x_0=-1$, $x_1=0$, $x_2=1$ has the values $b_0=0$, $b_1=1$ and $b_2=3$.
The spline should get from $S_{x,1}$ with $x=\{x_0, x_1, x_2\}$ to $[-1,1]$.
Do we want to find a function of the following form:
$$s(x)=\begin{cases}a_1x+b_1 & x\in [x_0, x_1] \\ a_2x+b_2 & x\in [x_1, x_2]\end{cases}$$
that satisfies the given values? (Wondering)
B-splines belong to a specific category of splines, right? What are the differences between the B-splines and other splines? (Wondering)