Interpolation

• Linear Interpolation:

  • Formula: Given two points $(x_0,y_0)$ and $(x_1,y_1)$, the value at $x$ is given by $y=y_0+\frac{(y_1-y_0)}{(x_1-x_0)}(x-x_0).$
  • Example: Interpolating between $(x_0=1)$ with $(y_0=2)$ and $(x_1=3)$ with $(y_1=4)$ to find $(y)$ at $(x=2)$, $y=2+\frac{(4-2)}{(3-1)}(2-1)=3.$

• SLERP (Spherical Linear Interpolation):