Results 41 to 50 of about 72,164 (263)
Characterization of curves that lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere [PDF]
, 2018 The consideration of the so-called rotation minimizing frames allows for a simple and elegant characterization of plane and spherical curves in Euclidean space via a linear equation relating the coefficients that dictate the frame motion.
da Silva, José Deibsom +1 more
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, 2009 We generalize wave maps to biwave maps. We prove that the composition of a biwave map and a totally geodesic map is a biwave map. We give examples of biwave nonwave maps.
Yuan-Jen Chiang
doaj +1 more source
Scattering rigidity with trapped geodesics [PDF]
, 2012 We prove that the flat product metric on $D^n\times S^1$ is scattering rigid where $D^n$ is the unit ball in $\R^n$ and $n\geq 2$. The scattering data (loosely speaking) of a Riemannian manifold with boundary is map $S:U^+\partial M\to U^-\partial M ...
CHRISTOPHER CROKE, Mukhometov, Pestov
core +2 more sources
A Hofer-Type Norm of Hamiltonian Maps on Regular Poisson Manifold
Journal of Applied Mathematics, 2014 We define a Hofer-type norm for the Hamiltonian map on regular Poisson manifold and prove that it is nondegenerate. We show that the L1,∞-norm and the L∞-norm coincide for the Hamiltonian map on closed regular Poisson manifold and give some sufficient ...
Dawei Sun, Zhenxing Zhang
doaj +1 more source
Quasi-Isometric Mesh Parameterization Using Heat-Based Geodesics and Poisson Surface Fills
Mathematics, 2019 In the context of CAD, CAM, CAE, and reverse engineering, the problem of mesh parameterization is a central process. Mesh parameterization implies the computation of a bijective map ϕ from the original mesh M ∈ R 3 to the planar ...
Daniel Mejia-Parra +4 more
doaj +1 more source
Geodesic Generative Topographic Mapping
, 2009 Nonlinear dimensionality reduction (NLDR) methods aim to provide a faithful low-dimensional representation of multivariate data. The manifold learning family of NLDR methods, in particular, do this by defining low-dimensional manifolds embedded in the observed data space.
Cruz Barbosa, Raúl +1 more
openaire +3 more sources
An exact Jacobi map in the geodesic light-cone gauge [PDF]
, 2013 The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodetic-deviation equation, and thus to derive an exact expression for the Jacobi map J^A_B(s,o) connecting a generic source s to a geodesic
Fanizza, G. +3 more
core +1 more source
Jacobi map and geodesic light-cone gauge: an exact solution*
EPJ Web of Conferences, 2014 An exact expression for the Jacobi map is furnished. This result has been achieved thanks to the properties of the recently proposed geodesic light-cone gauge. From here, a non-perturbative expression for the area distance is given. It is remarkable that
Fanizza G.
doaj +1 more source
A Review of Depth and Normal Fusion Algorithms
Sensors, 2018 Geometric surface information such as depth maps and surface normals can be acquired by various methods such as stereo light fields, shape from shading and photometric stereo techniques.
Doris Antensteiner +2 more
doaj +1 more source
Optimal transport with branching distance costs and the obstacle problem [PDF]
, 2012 We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish space and dN is a geodesic Borel distance which makes (X,dN) a possibly branching geodesic space.
Cavalletti, Fabio
core +2 more sources