THE 2-D HIDDEN MARKOV MODEL FOR IMAGES,
IT'S EXTENSIONS, AND APPLICATIONS
ABSTRACT
Digital image is an important medium in modern communication.
As a special type of data, images have posed long-standing challenges for
pattern recognition and statistical/machine learning. Tasks simple
for humans, such as annotation and segmentation, are notoriously difficult
for the computer to perform automatically, partly because only the human
vision can effortlessly treat an image as an entity and make decisions
in a global and effective manner. We developed a two-dimensional
hidden Markov model (2-D HMM) so that learning algorithms can utilize long-range
(or more accurately large-region) information in images. In this
model, a hidden layer of states is introduced as a mediator to efficiently
and flexibly characterize the dependence among observable local feature
vectors residing on a 2-D grid. The states are assumed to follow
a Markov mesh (a special MRF). Feature vectors are conditionally
independent given the states; and the conditional distribution varies with
the state. The 2-D HMM is further extended to the 2-D multiresolution
HMM (MHMM), which enhances the capability of integrating information in
large regions. A variation of 2-D HMM for the purpose of reducing
computational complexity has also been explored. In this talk, we
will introduce the aforementioned models and their estimation methods.
In addition, we will demonstrate the applications of the 2-D HMM methodology
in two substantially different contexts: supervised/unsupervised segmentation
and image annotation. For segmentation, the 2-D HMM enables simultaneous
optimization on the classes of many pixels. For annotation, the 2-D
MHMM serves as a state-of-the-art tool to profile hundreds of manually
annotated categories of images. Descriptive words are assigned to
a new image based on its likelihoods under the profiling models.
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MONDAY, MARCH 29, 2004
212 NEW WEST
3:30 P.M.
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