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Curvature Tensors and Curvature Conditions in Weyl Geometry
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Robust estimation of adaptive tensors of curvature by tensor voting
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2005Although curvature estimation from a given mesh or regularly sampled point set is a well-studied problem, it is still challenging when the input consists of a cloud of unstructured points corrupted by misalignment error and outlier noise. Such input is ubiquitous in computer vision.
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Curvature tensors and curvature conditions in Weyl geometry
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1994A Weyl structure on a manifold \(M\) is a system \(D = (C, \nabla)\) where \(C\) is a conformal class of metrics on \(M\) and \(\nabla\) a fixed Weyl connection. Then for each metric \(g \in C\) there exists a unique 1-form \(\phi_g\) on \(M\) such that \(\nabla g = 2\phi_g \otimes g\). By analogy with the Riemannian case [\textit{A. L.
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