Sensitivity/Robustness Flexible Ellipticity Measures

Ellipse is one of basic shapes used frequently for modeling in different domains. Fitting an ellipse to the certain data set is a well-studied problem. In addition the question how to measure the shape ellipticity has also been studied. The existing methods to estimate how much a given shape differs from a perfect ellipse are area based. Because of this, these methods are robust (e.g. with respect to noise or to image resolution applied). This is a desirable property when working with a low quality data, but there are also situations where methods sensitive to the presence of noise or to small object deformations, are more preferred. (e.g. in high precision inspection tasks.)