On the Influence of Scale Selection on Feature Detection for the Case of Linelike Structures

A method to automatically select locally appropriate scales for feature detection, proposed by Lindeberg (1993b, 1998), involves choosing a so-called -parameter. The implications of the choice of -parameter are studied and it is demonstrated that different values of can lead to qualitatively different features being detected. As an example the range of -values is determined such that a second derivative of Gaussian filter kernel detects ridges but not edges. Some results of this relatively simple ridge detector are shown for two-dimensional images.