Elements of Neurogeometry

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Focusing on the mathematical modeling of the primary visual cortex, this book presents an original geometrical framework for understanding its neural architecture. It explores how visual neurons filter optical signals through wavelet analysis and illustrates the relationship between the contact structure of curves in the retinal plane and cortical architecture. Additionally, it models the visual algorithms that integrate contours from incomplete sensory data using sub-Riemannian geometry, providing insights into the neurogeometry underlying visual perception.