The principles of the present invention relate to appropriately rendering a graphical object when a corresponding outline has exact or inexact control points. Based on the positions of control points on an outline it is calculated, that between a first parent control point and a second parent control point, the outline passes approximately though the center of a grid location. The positions of the first and second parent control points are adjusted by a first and second fraction of the size of a grid location respectively. The position of the child control point is realigned along a second axis of the grid space based on the positions of the first and second parent control points. The child control point position is rounded by a fraction of the size of a grid location based on the positions of the first and second parent control points.