GD WAS MENTIONED IN A MOVIE!
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Flame spread over thin hollow cylindrical fuels in microgravity
This work presents experimental study on opposed flow flame spread over thin hollow cylindrical cellulosic fuel of diameters varying from 10 mm to 49 mm in microgravity environment. To understand the effect of flow and geometry on flame spread, exper...
Study of Behaviours via Visitable Paths
Around 2000, J.-Y. Girard developed a logical theory, called Ludics. This theory was a step in his program of Geometry of Interaction, the aim of which being to account for the dynamics of logical proofs. In Ludics, objects called designs keep only w...
Small gauge transformations and universal geometry in heterotic theories
The first part of this paper describes in detail the action of small gauge transformations in heterotic supergravity. We show a convenient gauge fixing is `holomorphic gauge' together with a condition on the holomorphic top form. This gauge fixing, c...
NerVE: Neural Volumetric Edges for Parametric Curve Extraction from Point Cloud
Extracting parametric edge curves from point clouds is a fundamental problem in 3D vision and geometry processing. Existing approaches mainly rely on keypoint detection, a challenging procedure that tends to generate noisy output, making the subseque...
Beyond Pick-and-Place: Tackling Robotic Stacking of Diverse Shapes
We study the problem of robotic stacking with objects of complex geometry. We propose a challenging and diverse set of such objects that was carefully designed to require strategies beyond a simple "pick-and-place" solution. Our method is a reinforce...
Aspects géométriques et intégrables des modèles de matrices aléatoires
This thesis deals with the geometric and integrable aspects associated with random matrix models. Its purpose is to provide various applications of random matrix theory, from algebraic geometry to partial differential equations of integrable systems....
Needle bevel geometry influences the flexural deflection magnitude in ultrasound-enhanced…
It has been recently demonstrated that use of ultrasound increases the tissue yield in ultrasound-enhanced fine-needle aspiration biopsy (USeFNAB) as compared to conventional fine-needle aspiration biopsy (FNAB). To date, the association between beve...
Daily AI Archive | 12/16/2025
* Microsoft released TRELLIS.2, a 4B image-to-3D model that uses a field-free sparse voxel format called O-Voxel plus vanilla DiTs and a sparse 3D VAE with 16× downsampling. It targets sharp geometry...
Shigeo Sasaki - Wikipedia
Shigeo Sasaki (佐々木 重夫) (18 November 1912 Yamagata Prefecture, Japan – 14 August 1987 Tokyo) was a Japanese mathematician working on differential geometry
Maximally Algebraic potentially irrational Cubic Fourfolds
A well known conjecture asserts that a cubic fourfold $X$ whose transcendental cohomology $T_X$ can not be realized as the transcendental cohomology of a $K3$ surface is irrational. Since the geometry of cubic fourfolds is intricately related to the...
Geometry of Routh reduction
Routh reduction for Lagrangian systems with cyclic variable is presented as an example of Lagrangian reduction. It appears that Routhian, which is a generating object of reduced dynamics, is not a function any more but a section of a bundle of affine...
Thinking Outside the BBox: Unconstrained Generative Object Compositing
Compositing an object into an image involves multiple non-trivial sub-tasks such as object placement and scaling, color/lighting harmonization, viewpoint/geometry adjustment, and shadow/reflection generation. Recent generative image compositing metho...
ObjectStitch: Generative Object Compositing
Object compositing based on 2D images is a challenging problem since it typically involves multiple processing stages such as color harmonization, geometry correction and shadow generation to generate realistic results. Furthermore, annotating traini...
Approximating the Riemannian Metric from Point Clouds via Manifold Moving Least Squares
The approximation of both geodesic distances and shortest paths on point cloud sampled from an embedded submanifold $\mathcal{M}$ of Euclidean space has been a long-standing challenge in computational geometry. Given a sampling resolution parameter $...
Cube - Definition, Shape & Formula - GeeksforGeeks
Jul 23, 2025 · A cube is a polyhedron with equal length, breadth, and height, making it one of the simplest and most symmetrical 3D shapes in geometry. The image added below shows a cube along …
Cube | Faces, Edges & Vertices | Britannica
Cube, in Euclidean geometry, a regular solid with six square faces; that is, a regular hexahedron. Since the volume of a cube is expressed, in terms of an edge e, as e3, in arithmetic and algebra the third …
Cube - Wikipedia
A cube is a three-dimensional solid object in geometry. A cube has eight vertices and twelve straight edges of the same length, so that these edges form six square faces of the same size. It is an …
CheriseZhu/GIL
The implementation of our NeurIPS 2020 paper "Graph Geometry Interaction Learning" (GIL) (⭐ 46)
real analysis - Why are the rational numbers not continuous ...
Apr 3, 2022 · So you can have continuous functions defined over rationals; but the rationals are not a continuum. Why not? The notion of a continuum has its roots in geometry, and -- in the barest …