1. A method to find an intersection for geometrically coincident curves, comprising: identifying a first rectangular box containing a first segment of a first curve and a second rectangular box containing a second segment of a second curve, the first segment and the second segment having a set of current parameters, wherein said first rectangular box intersects with said second rectangular box; calculating a plurality of tangents from said set of current parameters; determining, using a processor, whether tangents calculated from the first segment intersect with tangents calculated from the second segment; and recording a plurality of parameter values to said current parameters that corresponds to an intersection of said tangents calculated.