Autodesk, Inc.
Method and system for minimizing earthwork volumes

Abstract:

A method and system provide the ability to design a surface. An existing triangular surface mesh representative of an existing surface is obtained. A modification to the mesh in compliance with design constraints is received. A volume level set or a volume minimization set, for the modified mesh, is obtained in Euclidean space. A volume subgradient set based on the volume level set, is obtained. A scalar is determined and used to scale heights between vertices of a triangle. A projection is computed and may be scaled. The projection may then be removed from the triangle's vertices. The removing changes the triangular surface mesh into a converged triangular surface mesh that minimizes an objective function. The objective function computes an absolute earthwork volume and/or an absolute value of a net volume representing the difference between a fill and cut of earthwork material.