Receptive Fields And the Reconstruction of Visual Information
Receptive Fields And the Reconstruction of Visual Information
S W Zucker
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Such kernels are visually indistinguishable from certain Gabor functions, and hence from the cross- section through certain simple cells. The theory predicts that it is only the smaller kernels that require side lobes, exactly as has been observed physiologically. theory specifies why only certain of them (rather than all) are present. Purely from the point of image communications, leaving aside issues of interpolation, our Page 11 Receptive Fields and the Reconstruction of Visual Information s...cheme has a lot in common with, and we have benefitted a great deal from, the discrete "Laplacian pyramids" developed by Burt and Adelson [1983]. There is a sense in which our theory provides the foundations for, and a continuous analog of, theirs. However, without our mathematical analysis the connections to contrast separation, de-blurring, and interpolation would not have been clear. 5. 3. Difference of Gaussian Receptive Fields Circular surround receptive fields have been modeled by kernels given either as the difference of two Gaussians [Rodieck, 1965; Enroth-Cugell and Robson, 1966], or as the Laplacian of a Gaussian [Marr and Hildreth, 1980].
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