Abstract: Parametric PDE techniques, which use partial differential equations (PDEs) defined over a 2D or 3D parametric domain to model graphical objects and processes, can unify geometric attributes ...
How to efficiently transfer constructed models of physics, behavior, and rules into geometric models to construct digital twin models. In the case of a large number ...
Recent advances in space robotics have underscored the need for modeling, estimation, and control frameworks that respect the intrinsic geometry of rigid-body motion. Traditional Euclidean ...
The remarkable ability of natural organisms to perceive and interpret spatial relationships based on geometric analysis is in stark contrast to the coordinate- dependent computational paradigms ...
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