Özet:
In this thesis, we focus on the problem of modelling sequential data, and particularly hand gestures. We approach the modelling problem using automata theory and theory of formal languages, which allows us to determine the crucial aspects of hand gestures. Furthermore, we show how this approach can help us assess the capabilities of candidate models. The resulting framework can identify problems of models, and set requirements for models to properly represent the gestures. We use this approach to examine common graphical models such as hidden Markov models (HMM), input-output HMMs, explicit duration models, hidden conditional random elds, and hidden semi Markov models (HSMM). We also devise an e cient variant of HSMMs that conforms to all of the requirements set by our previous analysis. We further show that mixtures of left-right models is the most suitable setting for gestures. Finally, we compare all the mentioned models and report the results. In the second part of the thesis, we focus on modelling hand shape with randomized decision forests (RDF). In particular, we extend a known body pose estimation method to hand pose, and then introduce a novel RDF that directly estimates the hand shape. Furthermore, we propose a multi-layered expert network consisting of RDFs that either considerably increases the accuracy, or reduces memory requirements without sacri cing accuracy.
