Modeling natural microimage statistics

Research output: ThesisDoctoral Thesis

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A large collection of digital images of natural scenes provides a database for
analyzing and modeling small scene patches (e.g., 2 x 2) referred to as natural microimages. A pivotal ¯nding is the stability of the empirical microimage distribution across scene samples and with respect to scaling. With a view toward potential applications (e.g. classi¯cation, clutter modeling, segmentation), we present a hierarchy of microimage probability models which capture essential local image statistics. Tools from information theory, algebraic geometry and of course statistical hypothesis testing are employed to assess the "match" between candidate models and the empirical distribution. Geometric symmetries play a key role in the model selection process.

One central result is that the microimage distribution exhibits reflection and
rotation symmetry and is well-represented by a Gibbs law with only pairwise
interactions. However, the acceptance of the up-down reflection symmetry hypothesis is borderline and intensity inversion symmetry is rejected. Finally, possible extensions to larger patches via entropy maximization and to patch classification via vector quantization are briefly discussed.
Original languageEnglish
Awarding Institution
  • University of Massachusetts Amherst
  • Geman, Donald, Supervisor, External person
Award date1 Sept 2000
Print ISBNs9780599957473, 0599957476
Publication statusPublished - 2000

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