Results 41 to 50 of about 73,738 (309)
Harmonic maps and totally geodesic maps between metric spaces
Shin‐ichi Ohta
openalex +3 more sources
A Review of Depth and Normal Fusion Algorithms
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
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Stability of geodesics in the Brownian map
The Brownian map is a random geodesic metric space arising as the scaling limit of random planar maps. We strengthen the so-called confluence of geodesics phenomenon observed at the root of the map, and with this, reveal several properties of its rich ...
Angel, Omer +2 more
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Geodesic Generative Topographic Mapping
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
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Geodesic mappings between Kahlerian spaces
Geodesic mappings from a Kahlerian space Kn onto a Kahlerian space Kn will be investigated in this paper. We present a construction of Kahlerian space Kn which admits non-trivial geodesic mapping onto Kahlerian space Kn.
Josef Mikes, Olga Pokorna, Galina Starko
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On a Lagrangian formulation of the incompressible Euler equation
In this paper we show that the incompressible Euler equation on the Sobolev space $H^s(\R^n)$, $s > n/2+1$, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the
Inci, Hasan
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Scattering rigidity with trapped geodesics [PDF]
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
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Using the symbolic calculation program Mathematica and based on the power series expansions of the common latitude with geodetic latitude as a variable, power series expansions of the common latitude with geocentric latitude as the variable are derived ...
Xiaoyong Li +4 more
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Wandering continua for rational maps
We prove that a Latt' es map admits an eventually simply-connected wandering continuum precisely when it is flexible.
Cui, Guizhen, Gao, Yan
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A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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