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Extra info for ARRL/CRRL Amateur Radio 9th Computer Networking Conference, London, Ontario Cana
This means that there has to exist some representation which is independent of the frame in which it is described. The representation must not depend on the different ways it can appear to us. As discussed in the last section, the variation in appearance of views has to be directly related to responses we can make with respect to it. There are different ways to interpret the combination of views to form an object: V i e w + Change in Position = I n v a r i a n t View + View Linkage = Invariant View + View Linkage = Object The combination of views with information concerning the position of these views, which is equivalent to the combination of percepts and responses, should produce an entity which allows an interpretation independently of the angle of observation.
This does however require simple units to have an ability of "understanding", which is not a reasonable demand upon structures. This is a consequence of the luxury of our own capability of consciousness and verbal logical thinking; something which is not available in systems we are trying to devise and in fact a capability which may lead us astray in our search for fundamental principles. Rather, we have to look for simple and robust rules, which can be compounded into sufficient complexity to deal with complex problems in a "blind" but effective way.
The quaternionic Gabor function (middle row) and their compositions to the symmetric concepts of the plane. The problem of recognition of structure in spatial domain is based on the recognition of the correlations with the corresponding symmetry. The Volterra series approach of filter design  recently was used to formulate non-linear filters for responding to higher-order correlations. In  the higher-order statistics of two-dimensional signals was estimated using a second-order Votterra filter in frequency domain to estimate the local intrinsic dimensionality of two-dimensional signals.
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