Algorithms from statistical physics for generative models of images
نویسندگان
چکیده
A general framework for defining generative models of images is Markov random fields (MRF’s), with shift-invariant (homogeneous) MRF’s being an important special case for modeling textures and generic images. Given a dataset of natural images and a set of filters from which filter histogram statistics are obtained, a shiftinvariant MRF can be defined (as in Zhu [12]) as a distribution of images whose mean filter histogram values match the empirical values obtained from the data set. Certain parameters in the MRF model, called potentials, must be determined in order for the model to match the empirical statistics. Standard methods for calculating the potentials are computationally very demanding, such as Generalized Iterative Scaling (GIS), an iterative procedure that converges to the correct potential values. We define a fast approximation, called BKGIS, which uses the Bethe-Kikuchi approximation from statistical physics to speed up the GIS procedure. Results are demonstrated on a model using two filters, and we show synthetic images that have been sampled from the model. Finally, we show a connection between GIS and our previous work on the g-factor.
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عنوان ژورنال:
- Image Vision Comput.
دوره 21 شماره
صفحات -
تاریخ انتشار 2003