Height Interpolation for Earthwork and Contouring

Height interpolation means the calculation of the height Z of a point known it’s plane coordinates (X,Y) , without going to the field and using surveying instruments which costs a higher . The work can be done accurately in two steps . First "Height interpolation" using the “Side interpolation method” (developed by the author) which gives the "Interpolated height" through the plane surface of a triangle using few linear calculation , Second "filtering the interpolated height" using the "Effect of the adjacent triangles" (developed by the author) . The height will be interpolated three times one through each adjacent triangle then subtract the "Interpolted height" to get three values (could be positive or negative) . Take the mean , then apply "Weight Factor" to get the "Filtering Value" . Add it to the "Interpolated height" to get the "Filtered Interpolated height" which is very nearly equal to the height on the ground surface at the position of X ,Y .