Computational Vision by Harry Wechsler (Auth.)

By Harry Wechsler (Auth.)

The publication is appropriate for complicated classes in desktop imaginative and prescient and picture processing. as well as delivering an total view of computational imaginative and prescient, it includes wide fabric on themes that aren't frequently lined in desktop imaginative and prescient texts (including parallel disbursed processing and neural networks) and considers many actual applications.

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Zero crossings make explicit the relevant information about a 2D image, primarily the intensity changes and their geometrical distribution and organization. Formally, zero crossings are thought of in the context of the heat equation and are those (x, y, t) for whom f(x, y, t), the solution to the heat equation (Eq. (2-22)) is zero. One argument Marr brought in support of his primal sketch theory was that the zero crossings could yield a discrete, symbolic representation that probably incurs no loss of information.

39 Scale Space fractals for Lucas's Star Wars-type movies is quite successful, the conjecture made by Pentland has been refuted by Peleg et al. (1984). Originally, Mandelbrot reported that for many coastlines, the length if, which is a function of the yardstick ε being used, is given as ^(ε)^Ζ,ε1-^, (2-27a) where L is the true length, and 2 is the fractal dimension. ) Assuming a fractal wave, 3 is independent of ε, and the plot of $£(ε) vs. ε on a log-log scale yields a straight line of slope (1 — 3).

By setting z equal to expO'co) one obtains a low-pass filter given by Giœly ω 2 ) = 1/2[οοβ(ω1) H- cos(a>2)]. 2. Scale Space Scale space representations and analysis extend from the simple idea, which can be visually tested, that different characteristics of an image reveal themselves at different levels of resolution. 3. 1. Heat Equation Chapter 4 is largely dedicated to the analogy between physical systems and PDP models of visual processing. The heat equation provides a similar rationale for the multiscale concept (Hummel, 1987).

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