Results 111 to 120 of about 1,337 (262)
THE LENGTH OF A CLOSED GEODESIC ON A COMPACT SURFACE
Kyushu Journal of Mathematics, 1994 Let \(M\) be a compact surface which is homeomorphic to a 2-dimensional sphere \(S^ 2\). Under this hypothesis \textit{B. C. Croke} [J. Differ. Geom. 27, No. 1, 1-21 (1988; Zbl 0642.53045)] showed that in \(M\) exists a non-trivial closed geodesic \(C\) whose length satisfies \(L\leq 9d (M)\).
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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
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Spinning particle geometries in AdS3/CFT2
Journal of High Energy PhysicsWe study spinning particle/defect geometries in the context of AdS3/CFT2. These solutions lie below the BTZ threshold, and can be obtained from identifications of AdS3.
Ziyi Li
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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
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Closed magnetic geodesics on $S^2$
Journal of Differential Geometry, 2011 We give existence results for simple closed curves with prescribed geodesic curvature on $S^{2}$, which correspond to periodic orbits of a charge in a magnetic field.
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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
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Frame-dragging and light deflection in rotating optical wormhole spacetimes
Physics Letters BIn this work, we present a detailed analytical study of null geodesics in a family of rotating optical wormhole spacetimes with constant negative Gaussian curvature, encompassing hyperbolic, elliptic, and Beltrami geometries.
Abdelghani Errehymy +3 more
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Closed Geodesics and Periods of Automorphic Forms
Advances in Mathematics, 2001 Let \(\gamma\) be a prime closed geodesic on a compact hyperbolic surface of genus \(g\) uniformized by \(\Gamma< \text{PSL} (2,\mathbb{R})\), and \(\ell(\gamma)\) be its length, while \([\gamma]\) is its homology class \(H_1(\mathbb{H}/ \Gamma,\mathbb{Z})\). Further, let \(\pi(T,\alpha):= \#\{\gamma: l(\gamma)\leq T\), \([\gamma]= \alpha\}\). From the
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LeafFit: Plant Assets Creation from 3D Gaussian Splatting
Computer Graphics Forum, EarlyView.Abstract We propose LeafFit, a pipeline that converts 3D Gaussian Splatting (3DGS) of individual plants into editable, instanced mesh assets. While 3DGS faithfully captures complex foliage, its high memory footprint and lack of mesh topology make it incompatible with traditional game production workflows. We address this by leveraging the repetition of
Chang Luo, Nobuyuki Umetani
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Event and Apparent Horizon Finders for 3+1 Numerical Relativity
Living Reviews in Relativity, 2007 Event and apparent horizons are key diagnostics for the presence and properties of black holes. In this article I review numerical algorithms and codes for finding event and apparent horizons in numerically-computed spacetimes, focusing on calculations ...
Thornburg Jonathan
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