@Article{wood1999:topographic, author = {Wood, R. J. and Schwartz, E. L.}, title = {Topographic shear and the relation of ocular dominance columns to orientation columns in primate and cat visual cortex}, journal = {Neural Networks}, volume = 12, number = 2, pages = {205--210}, month = Mar, year = 1999, datestr = 199903, INSPEC = 6213147, abstract = {Shear has been known to exist for many years in the topographic structure of the primary visual cortex, but has received little attention in the modeling literature. We make a functional hypothesis: the major axis of the topographic shear tensor provides cortical neurons with a preferred direction of orientation tuning. We demonstrate that isotropic neuronal summation of a sheared topographic map, in the presence of additional random shear, can provide the major features of cortical functional architecture with the ocular dominance column system acting as the principal source of the shear tensor. The major principal axis of the shear tensor determines the direction and its eigenvalues the relative strength of cortical orientation preference. This hypothesis is shown to be qualitatively consistent with a variety of experimental results on cat and monkey orientation column properties obtained from optical recording and from other anatomical and physiological techniques. We also show that the result of Das-Gilbert (1997) is consistent with an infinite set of parametrized solutions for the cortical map.}, keywords = {Visual cortex; Orientation columns; Ocular dominance columns; Singularities; Topography}, }