Results 81 to 90 of about 5,920 (280)
Geodesibility of algebrizable three-dimensional vector fields
, 2019 Recently, the geodesibility of planar vector fields, which are algebrizable (differentiable in the sense of Lorch for some associative and commutative unital algebra), has been established. In this paper, we consider algebrizable three-dimensional vector fields, for which we give rectifications and Riemannian metrics under which they are geodesible ...
Frías-Armenta, M. E. +1 more
openaire +2 more sources
Geodesic webs of hypersurfaces
, 2009 Geometric structures associated with webs of hypersurfaces are studied and geodesic web on an n-dimensional manifold is proved to be associated with a unique projective structure. A d-web is proved to be a geodesic for particular forms depending on basis
Goldberg, V. V., Lychagin, V. V.
core +1 more source
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations
Computer Graphics Forum, EarlyView.Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton +2 more
wiley +1 more source
Geodesic nets on non-compact Riemannian manifolds
, 2022 A geodesic flower is a finite collection of geodesic loops based at the same point $p$ that satisfy the following balancing condition: The sum of all unit tangent vectors to all geodesic arcs meeting at $p$ is equal to the zero vector.
Rotman, Regina +3 more
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Mesh Processing Non‐Meshes via Neural Displacement Fields
Computer Graphics Forum, EarlyView.Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
wiley +1 more source
Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space
AIP AdvancesGeodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces can be
A. A. Almoneef, R. A. Abdel-Baky
doaj +1 more source
On Momentum Operators Given by Killing Vectors Whose Integral Curves Are Geodesics
Physics, 2022 The paper considers momentum operators on intrinsically curved manifolds. Given that momentum operators are Killing vector fields whose integral curves are geodesics, the corresponding manifold is flat or of the compact type with positive constant sectional curvature and dimensions equal to 1, 3, or 7. Explicit representations of momentum operators and
openaire +3 more sources
The sculpture Manifold: a band from a surface, a surface from a band
, 2008 The steel sculpture Manifold consists of an 8 cm wide closed band of stainless steel that winds around in an intricate way, curving and coming very close to itself.
Osinga, HM +2 more
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