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Point-regular geometries

Journal of Geometry, 1997
The author continues his investigation in Geom. Dedicata 46, No. 1, 47-60 (1993; Zbl 0783.51002) of how geometries can be reconstructed from their automorphism groups. In the paper under review he considers incidence structures \((P,{\mathcal L})\) that admit sharply point transitive groups \(G\) of automorphisms. In this case, \(P\) is identified with
openaire   +2 more sources

Geometry‐Aware 3D Point Cloud Learning for Precise Cutting‐Point Detection in Unstructured Field Environments

J. Field Robotics
In automated lychee harvesting, the complex geometric structures of branches, leaves, and clustered fruits pose significant challenges for robotic cutting point detection, where even minor positioning errors can lead to harvest damage and operational ...
Hongjun Wang   +7 more
semanticscholar   +1 more source

VGGT: Visual Geometry Grounded Transformer

Computer Vision and Pattern Recognition
We present VGGT, a feed-forward neural network that directly infers all key 3D attributes of a scene, including camera parameters, point maps, depth maps, and 3D point tracks, from one, a few, or hundreds of its views.
Jianyuan Wang   +5 more
semanticscholar   +1 more source

25-Point Geometry

The Mathematical Gazette, 1952
Finite Galois arithmetics are well-known; finite geometries however, though more interesting to the amateur, have not really acquired professional status and do not appear to any great extent in standard works. The following example arose from a chance remark in Mathematics for T. C.
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31-Point Geometry

The Mathematical Gazette, 1955
The following paragraphs have been assembled in consequence of my reading Dr. Cundy’s note on 25-point geometry. Towards the end of it, apparently mindful of the adjunction of a “ line at infinity ” to the Euclidean plane, he adjoins a line to the 25-point plane and so obtains a geometry of 31 points. Here I reverse this procedure :
openaire   +1 more source

Lossy Point Cloud Geometry Compression via Region-Wise Processing

IEEE transactions on circuits and systems for video technology (Print), 2021
Point cloud geometry (PCG) is used to precisely represent arbitrary-shaped 3D objects and scenes, is of great interest to vast applications which puts forward the pressing desire of high-efficiency PCG compression for transmission and storage.
Wenjie Zhu   +4 more
semanticscholar   +1 more source

Axiomatizability of Geometry without Points

Synthese, 1960
The aim of this paper is to make more precise the well-known conviction that geometry may be built without speaking about points. In the first section we prepare some general syntactical theorems which are needed. In the second section we apply these theorems to a certain theory of topology without points.
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Some Finite Point Geometries

Mathematics Magazine, 1977
Finite sets with distinguished subsets called lines give examples of the theory of balanced incomplete block designs.
openaire   +1 more source

Detail-generating geometry completion for point-sampled geometry

Machine Vision and Applications, 2013
In this paper, we present a novel method for detail-generating geometry completion over point-sampled geometry. The main idea consists of converting the context-based geometry completion into the detail-based texture completion on the surface. According to the influence region of boundary points surrounding a hole, a smooth patch covering the hole is ...
Ren-fang Wang   +4 more
openaire   +1 more source

PUGeo-Net: A Geometry-centric Network for 3D Point Cloud Upsampling

European Conference on Computer Vision, 2020
This paper addresses the problem of generating uniform dense point clouds to describe the underlying geometric structures from given sparse point clouds.
Y. Qian, Junhui Hou, S. Kwong, Ying He
semanticscholar   +1 more source

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