Barbieri Davide, Citti Giovanna, Sanguinetti Gonzalo, Sarti Alessandro
Dipartimento di Matematica Università di Bologna, Italy.
J Physiol Paris. 2012 Sep-Dec;106(5-6):183-93. doi: 10.1016/j.jphysparis.2012.03.001. Epub 2012 Mar 29.
We present a model of the morphology of orientation maps in V1 based on the uncertainty principle of the SE(2) group. Starting from the symmetries of the cortex, suitable harmonic analysis instruments are used to obtain coherent states in the Fourier domain as minimizers of the uncertainty. Cortical activities related to orientation maps are then obtained by projection on a suitable cortical Fourier basis.
我们基于SE(2)群的不确定性原理,提出了一种V1区方向图形态的模型。从皮层的对称性出发,使用合适的调和分析工具,在傅里叶域中获得相干态作为不确定性的最小化者。然后通过在合适的皮层傅里叶基上进行投影,得到与方向图相关的皮层活动。