The interpolation method is a method that allows you to find intermediate values of a value from an existing discrete set of known values.
x1
x (между х1 и х2)
x2
y1
f(x1, y1)
f(x2, y1)
y (между y1 и y2)
f(x,y)=0.00
y2
f(x1, y2)
f(x2, y2)
In this online calculator, double linear interpolation is performed for the function f (x, y), if the value of x is in the interval between x1 and x2, y is in the interval between y1 and y2 and the values of the function f (x1), f (x2) are known, f (y1), f (y2)
Therefore, the interpolation formula has the following form:
At the beginning we find: f(x,y1)= (f(x2,y1)-f(x1,y1))/(x2-x1)*(x-x1)+f(x1,y1),
and then we find: f(x,y2)= (f(x2,y2)-f(x1,y2))/(x2-x1)*(x-x1)+f(x1,y2),
and then we find f(x,y)= (f(x,y2)-f(x,y1))/(y2-y1)*(y-y1)+f(x,y1),