Abstract
AbstractIn this paper, we present a novel model of the primary visual cortex (V1) based on orientation, frequency, and phase selective behavior of V1 simple cells. We start from the first-level mechanisms of visual perception, receptive profiles. The model interprets V1 as a fiber bundle over the two-dimensional retinal plane by introducing orientation, frequency, and phase as intrinsic variables. Each receptive profile on the fiber is mathematically interpreted as rotated, frequency modulated, and phase shifted Gabor function. We start from the Gabor function and show that it induces in a natural way the model geometry and the associated horizontal connectivity modeling of the neural connectivity patterns in V1. We provide an image enhancement algorithm employing the model framework. The algorithm is capable of exploiting not only orientation but also frequency and phase information existing intrinsically in a two-dimensional input image. We provide the experimental results corresponding to the enhancement algorithm.
Publisher
Springer Science and Business Media LLC
Subject
Neuroscience (miscellaneous)
Reference106 articles.
1. Barbieri D, Citti G. Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group. Anal Appl. 2015;13(03):331–46.
2. Barbieri D, Citti G, Cocci G, Sarti A. A cortical-inspired geometry for contour perception and motion integration. J Math Imaging Vis. 2014;49(3):511–29.
3. Barbieri D, Citti G, Sanguinetti G, Sarti A. Coherent states of the Euclidean group and activation regions of primary visual cortex. arXiv preprint arXiv:1111.0669 (2011).
4. Barbieri D, Citti G, Sanguinetti G, Sarti A. An uncertainty principle underlying the functional architecture of V1. J Physiol (Paris). 2012;106(5):183–93.
5. Baspinar E. Minimal surfaces in sub-Riemannian structures and functional geometry of the visual cortex. Ph.D. thesis. University of Bologna; 2018.
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献