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other image attributes. The decomposition of the
image into separable components is by no means the
only possible model of representation and
processing of images, and definitely not always the
optimal one. An alternative approach, introduced in
the context of image processing and computer vision
(Kimmel et al. 2000), (Sochen & Zeevi 1998),
considers an image to be a manifold embedded in
higher dimensional combined position (spatial)-
feature space. The features are the image attributes
or dimensions, such as color, curvature and size
mentioned above. Adaptation by means of nonlinear
gain control is executed in this case in the
multidimensional space in a unified manner. Such
manifolds of adaptive NN are yet to be further
investigated.
0 10 20 30 40 50 60 7
-0.03
-0.02
-0.01
0
0.01
0.02
0.03
original curve
noisy curve
curve after diffusion filter
Figure 23: Filtering a noisy curve with non-linear
diffusion filter (15 iterations) along the curvature
dimension.
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