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Curvilinear Coordinates and Curved Spaces
2018Even in flat Euclidean space it may be useful to use curvilinear coordinates; for instance, in 3d problems having central symmetry, we obtain an important simplification when the line element \(ds^2= dx^{2}+dy^{2}+dz^{2}\) is replaced by \(ds^{2}=dr^{2}+r^{2}d\theta ^{2}+r^{2}\sin ^{2}(\theta ) d\phi ^{2}.\) In a curved space we have no other choice ...
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Extended Object Tracking in Curvilinear Road Coordinates for Autonomous Driving
IEEE Transactions on Intelligent Vehicles, 2023Pragyan Dahal +2 more
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A fully nonlinear Boussinesq model in generalized curvilinear coordinates
Coastal Engineering, 2001Fengyan Shi +2 more
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