Results 51 to 60 of about 73,367 (201)
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Singularities of spherical surface in R4
Open MathematicsIn this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj +1 more source
Some results on second order controllability conditions
, 2019 For a symmetric system, we want to study the problem of crossing an hypersurface in the neighborhood of a given point, when we suppose that all of the available vector fields are tangent to the hypersurface at the point.
Soravia, Pierpaolo
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2002 Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
openaire +2 more sources
On the backward stability of the Schwarzschild black hole singularity
, 2015 We study the backwards-in-time stability of the Schwarzschild singularity from a dynamical PDE point of view. More precisely, considering a spacelike hypersurface $\Sigma_0$ in the interior of the black hole region, tangent to the singular hypersurface $\
Fournodavlos, Grigorios
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Singular Tropical Hypersurfaces [PDF]
Discrete & Computational Geometry, 2011 Several improvements.
Alicia Dickenstein, Luis Felipe Tabera
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Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
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Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere
The Scientific World Journal, 2014 For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
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