We present a new method for characterizing 2D shapes, specifically elliptical ones that can be successfully applied to any star-shaped object. Rather than using the classical centroidal-profile approach, we dynamically fit an ellipse to the contour points and compute the distances of every point on the contour to the two ellipse foci. The sum of the two distances minus the length of the ellipse's major axis, as a function of the angle for one full rotation, is the new contour function. This profile is normalized with respect to the object orientation by taking the orientation of the fitted ellipse's major axis as a reference. Our method will perform better if a contour has defects or is partially occluded, it has no problem with very elongated objects, and it can cope with objects with identical shapes but different sizes.