FORTH - ICS / TR - 264 December 1999 Generalized Scale - Selection

This paper generalizes Lyaponov functionals to the local setting, and it is shown that they may serve as a connection between Florack's et al. pseudo-linear scale-spaces and Koenderink's et al. local soft histograms. A generalized scale-selection method is proposed based on local Lyaponov functionals and local soft histograms, and it is shown that the method includes Lindebergs's Blob-detector and various generalizations of it. This paper concludes with some initial experimental results using a statistical blob-detector. Abstract This paper generalizes Lyaponov functionals to the local setting, and it is shown that they may serve as a connection between Florack's et al. pseudo-linear scale-spaces and Koenderink's et al. local soft histograms. A generalized scale-selection method is proposed based on local Lyaponov functionals and local soft histograms, and it is shown that the method includes Lindebergs's Blob-detector and various generalizations of it. This paper concludes with some initial experimental results using a statistical blob-detector.