System and method for optimizing machining simulation

Embodiments of the invention disclose a method for optimizing a simulation of a machining of a workpiece performed by removing a set of swept volumes from a volume of the workpiece, wherein the volume is partitioned into a set of cells, comprising the steps of: associating with each cell a subset of distance fields representing a subset of swept volumes intersecting with the cell, wherein at least part of the subset of swept volumes forms a composite surface of the cell; subjecting the cell with a set of rays incident to the cell from at least one direction; and selecting a distance field of the subset of distance fields into an optimal subset associated with the cell, wherein a boundary of the swept volume represented by the distance field intersects with at least one ray at a point of intersection lying on the composite surface.