Titlebook: Systems, Patterns and Data Engineering with Geometric Calculi; Sebastià Xambó-Descamps Conference proceedings 2021 The Editor(s) (if appli

Projection

Recent Advances on Oriented Conformal Geometric Algebra Applied to Molecular Distance Geometry,Oriented Conformal Geometric Algebra was recently applied to Molecular Distance Geometry, where we want to determine 3D protein structures using distance information provided by Nuclear Magnetic Resonance experiments. We present new results that simplify the associated calculations.

腼腆

Sebastià Xambó-DescampsIntegrated perspective of mathematical engineering based on geometric calculi.A comprehensive formalism for deep neural networks based on geometric algebras.Coverage of relevant algorithms, particular

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,Space-Bending Lattices: Parameterization and Rationalization of Cyclidic Volumes Through Conformal connect the coordinate systems of neighboring volumes. The development of these parameterizations offers a new but foundational tool for computer aided design of machine parts, animated 3D characters, or freeform architecture.

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Ige326

Conference proceedings 2021of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the applic

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Optimal Combination of Orientation Measurements Under Angle, Axis and Chord Metrics,s inspired by the usual vector-based approaches for translations non-trivial..We treat three different metrics that may be used to compare orientations, compute the corresponding optimal averages, and relate them in a unified framework. The metrics are based on measuring differences in angular arc,