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Titlebook: Geometric Science of Information; 5th International Co Frank Nielsen,Frédéric Barbaresco Conference proceedings 2021 Springer Nature Switze

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An Auditory Cortex Model for Sound Processings to refine the auditory cortex model introduced in [.], and inspired by the geometrical modelling of vision. The algorithm lifts the time-frequency representation of the degraded sound to the Heisenberg group, where it is reconstructed via a Wilson-Cowan integro-differential equation. Numerical exp
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Extremal Controls for the Duits Carimage processing for the detection of salient lines. The problem is a modification of a well-known sub-Riemannian problem in the roto-translation group, where one of the controls is restricted to be non-negative. The problem is of interest in geometric control theory as a model example in which the
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Multi-shape Registration with Constrained Deformationsucture. This allows to incorporate prior knowledge about object deformations into the model as a means of regularisation [.]. However, diffeomorphic deformations can lead to deceiving results if the deformed object is composed of several shapes which are close to each other but require drastically d
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Diffusion Means and Heat Kernel on Manifoldson with a given diffusivity. They can therefore be defined on all spaces on which a Brownian motion can be defined and numerical calculation of sample diffusion means is possible on a variety of spaces using the heat kernel expansion. We present several classes of spaces, for which the heat kernel i
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A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant MetricThe use of this equation is exemplified on the group of rigid body motions .(3), using basic numerical integration schemes, and compared to the pole ladder algorithm. This results in a stable and efficient implementation of parallel transport. The implementation leverages the python package . and is
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