Why is it necessary to convert the catmull rom inputs to hermite inputs? Does this save computation or make the operations less expensive? Why can't you just multiply the [t^3 t^2 t^1 t] with the catmull rom matrix only and define that as your C_i(t) functions?
killawhale2
The reason is to reuse the work done on the Hermite basis functions. In the next slide, they perform exactly what you mean.
Why is it necessary to convert the catmull rom inputs to hermite inputs? Does this save computation or make the operations less expensive? Why can't you just multiply the [t^3 t^2 t^1 t] with the catmull rom matrix only and define that as your C_i(t) functions?
The reason is to reuse the work done on the Hermite basis functions. In the next slide, they perform exactly what you mean.