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The Curve Indicator Random Field Jonas August
 

Summary: Abstract
The Curve Indicator Random Field
Jonas August
2001
Can the organization of local image measurements into curves be directly related
to natural image structure? By viewing curve enhancement as a statistical estimation
problem, we suggest that it can. In particular, the classical Gestalt perceptual
organization cues of proximity and good continuation--the basis of many current
curve enhancement systems--can be statistically measured in images. As a prior
for our estimation approach we introduce the curve indicator random field (cirf).
Technically, this random field is a superposition of local times of Markov processes
that model the individual curves; intuitively, it is an idealized artist's sketch, where
the value of the field is the amount of ink deposited by the artist's pen. The explicit
formulation of the cirf allows the calculation of tractable formulas for its cumulants
and moment generating functional. A novel aspect of the cirf is that contour
intersections can be explicitly incorporated.
More fundamentally, the cirf is a model of an ideal edge/line map, and there-
fore provides a basis for rigorously understanding real (noisy, blurry) edge/line mea-
surements as an observation of the cirf. This model therefore allows us to derive
nonlinear filters for enhancing contour structure in noisy images. In particular, we

  

Source: August, Jonas - Robotics Institute, School of Computer Science, Carnegie Mellon University

 

Collections: Engineering; Chemistry