Theory of Edge Detection
Citations
28,073 citations
Cites background or methods from "Theory of Edge Detection"
...This is similar to the selection criterion proposed by Marr and Hildreth [18] for choosing between different Laplacian of Gaussian channels....
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...In fact, a one-dimensional Marr-Hildreth edge detector is almost identical with the operator we have derived because maxima in the output of a first derivative operator will correspond to zero-crossings in the Laplacian operator as used by Marr and Hildreth....
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...The effect of the window function becomes very marked for large operator sizes and it is probably the biggest single reason why operators with large support were not practical until the work of Marr and Hildreth on the Laplacian of Gaussian....
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...Directional operators very much like the ones we have derived were suggested by Marr [17], but were discarded in favor of the Laplacian of Gaussian [18]....
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...There are also strong links with the Laplacian of Gaussian operator suggested by Marr and Hildreth [18]....
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18,095 citations
13,011 citations
6,842 citations
Cites methods from "Theory of Edge Detection"
...Dreschler and Nagel [43] searched for the local extrema of the Gaussian curvature....
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...Kumar et al. [102] combined different types of pyramids (Laplacian, Gaussian) with different similarity measures (CC, sum of squared differences) to register aerial video sequences....
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...Multiquadrics, reciprocal multiquadrics, Gaussians, Wendland’s functions, and thin-plate splines are several examples of the radial basis functions used in image registration....
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...In general, this coarse-to-fine hierarchical strategy applies the usual registration methods, but it starts with the reference and sensed images on a coarse resolution (generated using Gaussian pyramids, simple averaging or wavelet transform coefficients, among others)....
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...6), quadratic splines [42,191], cubic Bsplines [89], higher-order B-splines [108], Catmull–Rom cardinal splines [100,184], Gaussians [7], and truncated sinc functions [182] belong to the most commonly used interpolants....
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5,068 citations
Cites background or methods from "Theory of Edge Detection"
...Marr and Hildreth [20] use zero crossings of the Laplacian of Gaussian operator....
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...Our gPb detector [3] performs significantly better than other algorithms [2], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28] across almost the entire operating regime....
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References
12,923 citations
"Theory of Edge Detection" refers result in this paper
...This state of affairs is consistent with the neurophysiology since Hubel & Wiesel (1962) originally defined simple cells by the linearity of their response, and they reported many bar-shaped receptive fields....
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6,388 citations
5,714 citations
"Theory of Edge Detection" refers background in this paper
...They are, in fact, related by the uncertainty principle, which states that Ax Aw > an (see, for example, Bracewell 1965, pp. 160-163)....
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4,231 citations
3,073 citations
"Theory of Edge Detection" refers background in this paper
...The experiments of Hubel & TNiesel (1962) and of Campbell & Robson (1968) introduced two rather distinct notions of the function of early information processing in higher visual systems....
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...Recent psychophysical work by Wilson & Giese (1977), FVilson & Bergen (1979) (see also Macleod & Rosenfeld 1974), has led to a precise quantitative model of the orientation-dependent spatial-frequency-tuned channels discovered by Campbell & Robson (1968)....
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...This requirement, together with the findings of Campbell & Robson (1968), leads to the basic idea, illustrated in figure 1, in which one first takes local averages of the image a t various resolutions and then detects the changes in intensity that occur at each one....
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