Interface I2DInterpolation<T>

Namespace

AiDotNet.Interfaces

Assembly

AiDotNet.dll

Defines an interface for two-dimensional interpolation algorithms.

public interface I2DInterpolation<T>

Type Parameters

T

The numeric type used for coordinates and interpolated values (e.g., double, float).

Remarks

For Beginners: Interpolation is like "filling in the blanks" between known data points.

Imagine you have a table of temperatures measured at specific locations on a map (x,y coordinates). But what if you want to know the temperature at a location where you don't have a measurement?

2D interpolation helps you estimate that value based on the surrounding known values. It's similar to how weather maps show smooth color gradients between weather stations.

This interface defines a standard way to perform this estimation for any type of two-dimensional interpolation algorithm.

Methods

Interpolate(T, T)

Calculates an interpolated value at the specified coordinates.

T Interpolate(T x, T y)

Parameters

x T

The x-coordinate of the point to interpolate.

y T

The y-coordinate of the point to interpolate.

Returns

T

The interpolated value at the specified coordinates.

Remarks

For Beginners: This method takes a location (x,y) where you don't have data and returns an estimated value at that location based on surrounding known values.

For example, if you're working with temperature data:

• x and y might represent longitude and latitude
• The return value would be the estimated temperature at that location

Different implementations of this interface will use different mathematical techniques to calculate this estimate, such as linear interpolation, bilinear interpolation, or spline interpolation.