By Grant R. Fowles, George L. Cassiday
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Additional resources for Analytical Mechanics, Seventh Edition, International Student Edition
Sen(θ ) + x. cos(θ ) − 2 2 (2) where ∆ represents the width of a straight band, characterized by the fact that all its internal points (x, y) map to the same point (ρ,θ) in the parameter space. e. the accumulator array) . Fig. 1. Pixels in the image (x,y) space, and corresponding digital bands in the (m,c) and (θ,ρ) parameter spaces. Furthermore, just as sinusoids generated from collinear points intercept over a single point in the continuous ρ-θ space, the sinusoidal bands produced by collinear points intercept over a small polygonal region, inside which all possible (ρ,θ) pairs backmap into the same digital line in the image.
In a dramatic illustration of learning, Tovee, Rolls & Ramachandran  showed that a face sensitive neuron could learn to recognize degraded face images (that were previously unrecognizable) by exposure to 5 seconds of training images that showed the transition between normal and degraded images. It is also known that object recognition in human vision uses a serial process of attention to bind features to object interpretations, determine pose, and segment an object from a cluttered background .
Features are often added at this stage that were not in the original hash bin due to errors in predicting the model parameters from a single feature or due to previous ambiguity in the object match for a feature. 7 Experiments The top row of Figure 1 shows three model images of typical objects that were used to test recognition. The models were photographed on a black background, and object outlines were extracted by segmenting out the background region (the outlines are used only for display purposes and play no role in recognition).
Analytical Mechanics, Seventh Edition, International Student Edition by Grant R. Fowles, George L. Cassiday