Sequential Learning of Layered Models from Video

A popular framework for the interpretation of image se- quences is the layers or sprite model, see e.g. (1), (2). Jojic and Frey (3) provide a generative probabilistic model framework for this task, but their algorithm is slow as it needs to search over discretized transforma- tions (e.g. translations, or affines) for each layer simultaneously. Exact computation with this model scales exponentially with the number of objects, so Jojic and Frey used an approximate variational algorithm to speed up inference. Williams and Titsias (4) proposed an alternative sequential algorithm for the extraction of objects one at a time using a robust statistical method, thus avoiding the combinatorial explosion. In this chapter we elaborate on our sequential algorithm in the following ways: Firstly, we describe a method to speed up the computation of the transformations based on approximate tracking of the multiple objects in the scene. Secondly, for sequences where the motion of an object is large so that different views (or aspects) of the object are visible at dif- ferent times in the sequence, we learn appearance models of the different aspects. We demonstrate our method on four video sequences, including a sequence where we learn articulated parts of a human body.