1. A method for regularizing a distance field representing a graphics model, the distance field including a plurality of variable scalar values and a set of fixed zero scalar values; comprising: evaluating the distance field using a cost function optimized according predetermined parameters to determine a cost of the distance field; determining if the cost satisfies a predetermined threshold; and perturbing the variable scalar values while holding the zero scalar values fixed, and repeating the evaluating, determining, perturbing steps until the predetermined threshold is satisfied to generate a regularized distance field.