Patent ID: 8325183

Claim:
A method for determining a position of an addendum mesh node disposed between a part mesh boundary and a binder mesh boundary with respect to a first plane, the method comprising: selecting a first point on the part mesh boundary and a second point on the binder mesh boundary having positions with respect to the first plane that are disposed on a control line, wherein the control line also intersects the position of the addendum mesh node with respect to the first plane, wherein the part mesh boundary and the binder mesh boundary are designed for a deep-drawing process, wherein the first plane is substantially parallel to a drawn blank associated with the deep-drawing process; identifying a plurality of control points having positions with respect to the first plane that are disposed on the control line; generating an interpolated curve that intersects the first point, the second point, and the plurality of control points by using a radial basis function (RBF), wherein the first point, the second point, and the plurality of control points comprise RBF data points; adjusting the position of at least one of the plurality of control points with respect to a second plane that is substantially orthogonal to the first plane and repeating the step of generating the interpolated curve until the interpolated curve is tangentially correlated to the first point and to the second point; and identifying a position on the interpolated curve that corresponds to the position of the addendum mesh node with respect to the first plane; repeating each step a plurality of times, wherein a different first point is selected during each repeated selecting step; and determining a weighted average position of the addendum mesh node based on the positions identified during each repeated identifying step, wherein the positions identified share the same position with respect to the first plane.