Title: Object Detection at the Optimal Scale with Hidden State Shape Models Authors: Jingbin Wang, Vassilis Athitsos, Stan Sclaroff, Margrit Betke Date: October 2, 2006 Abstract: Hidden State Shape Models (HSSMs), a variant of Hidden Markov Models (HMMs), were proposed to detect shape classes of variable structure in cluttered images. In this paper, we formulate a probabilistic framework for HSSMs which solves two scale related problems in comparison to the original method. First, while HSSMs required the scale of the object to be passed as an input, the method proposed here estimates the scale of the object automatically. This is achieved by introducing a new term for the observation probability that is based on a object-clutter feature model. Second, a segmental HMM is applied to model the duration probability of each HMM state, which is learned from the shape statistics in a training set and helps obtain meaningful registration results. Using a segmental HMM provides a principled way to model dependencies between the scales of different parts of the object. In object localization experiments on a dataset of real hand images, the proposed method significantly outperforms the original HSSMs, reducing the incorrect localization rate from 40% to 15%. The improvement in accuracy becomes more significant if we consider that the method proposed here is scale-independent, whereas the previous method takes as input the scale of the object we want to localize.