Control points are known locations with measurements However

Control points are known locations with measurements. However, they are not evenly distributed throughout a study area. Explain the relationship between the density of control points and the accuracy of interpolated data.

Solution

Interpolation is a way of approximating values between known control points. When the graphical data has a break, but the data is present on either side of the break in graph or at some specific points within the gap , then an approximation of values within the break could be made by interpolation.

the graph could be considered of as completing the curve to compensate for data between the known control points. This method known as interpolation, many a times (but not always) provides more approximate results.

The main problem with interpolation in general arises from the fact that even when some function passes through all known control points, the resulting graph might not reflect the true state of affairs. It is possible that a function, though accurate at specific points, would differ from the true values at some sections between those control points. This problem usually arises when sharp edges or dps occur in a graph, depicting unusual events in a real life situations.