Elements of Neurogeometry

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The book explores mathematical models of the primary visual cortex, linking them to experimental data and presenting a novel geometrical model of its neural connections. It introduces the concept of "neurogeometry" in visual perception, examining how visual neurons filter optical signals through wavelet analysis. Additionally, it discusses the contact structure of curves in the retinal plane and how the cortical architecture implements this structure. Finally, it demonstrates how visual algorithms for contour integration can be modeled using sub-Riemannian geometry.