Example
For example, suppose we have a table like this, which gives some values of an unknown function f.
| x | f(x) | ||||
|---|---|---|---|---|---|
| 0 | 0 | ||||
| 1 | 0 | . | 8415 | ||
| 2 | 0 | . | 9093 | ||
| 3 | 0 | . | 1411 | ||
| 4 | −0 | . | 7568 | ||
| 5 | −0 | . | 9589 | ||
| 6 | −0 | . | 2794 | ||
Interpolation provides a means of estimating the function at intermediate points, such as x = 2.5.
There are many different interpolation methods, some of which are described below. Some of the concerns to take into account when choosing an appropriate algorithm are: How accurate is the method? How expensive is it? How smooth is the interpolant? How many data points are needed?
Read more about this topic: Interpolation
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