optimizing land leveling by applying warped surface

in this paper we develop a new approach for land leveling in order to improve the topology of a large area for irrigation or civil projects. the objective in proposed model is to minimize the total volume of cutting so that technical requirements of land leveling such as suitable slope and standard ratio of cutting to filling and maximum penstock point’s height are considered. we develop a warped surface pattern and apply a linear programming model to determine the land optimal topology. our approach is more practical to apply, in comparison with the existing “fit to plane” methods which apply bivariate regression statistical techniques because in these methods finding optimal solution, considering technical requirements, needs trial and error. our proposed method does not need any trial and error, furthermore its results is global optimum. also the warped surface pattern is adoptable to plane or curved patterns, and it is applicable for any land with any magnitude.