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A Point's Point of View of Stringy Geometry [PDF]
Journal of High Energy Physics, 2002 The notion of a "point" is essential to describe the topology of spacetime. Despite this, a point probably does not play a particularly distinguished role in any intrinsic formulation of string theory. We discuss one way to try to determine the notion of
A. Bondal +27 more
core +7 more sources
EQUILATERAL POINT SETS IN ELLIPTIC GEOMETRY [PDF]
Indagationes Mathematicae (Proceedings), 1991 This chapter highlights equilateral point sets in elliptic geometry. Elliptic space of r−1 dimensions E r−1 is obtained from r -dimensional vector space R r with inner product ( a , b ). For 1 , any k -dimensional linear subspace R k of R r is called a ( k−1 )-dimensional elliptic subspace E k−1 .
J. H. van Lint, J.J. Seidel
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On a class of point-reflection geometries
Discrete Mathematics, 1994 AbstractManara and Marchi have recently given a system of axioms for point-reflection geometries. In this note classes of kinematic spaces are considered in which such reflection geometries can be found. It will be shown that with an additional axiom they can be described by the core in the sense of Bruck (1971) of commutative kinematic spaces without ...
Herbert Hotje +2 more
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Efficient Large-Scale Point Cloud Geometry Compression [PDF]
SensorsDue to the significant bandwidth and memory requirements for transmitting and storing large-scale point clouds, considerable progress has been made in recent years in the field of large-scale point cloud geometry compression.
Shiyu Lu, Cheng Han, Huamin Yang
doaj +2 more sources
On preferred point geometry in statistics [PDF]
Journal of Statistical Planning and Inference, 2002 A brief synopsis of progress in differential geometry in statistics is followed by a note of some points of tension in the developing relationship between these disciplines. The preferred point nature of much of statistics is described and suggests the adoption of a corresponding geometry which reduces these tensions.
Frank Critchley +2 more
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Wormhole inspired by non-commutative geometry [PDF]
Physics Letters B, 2015 In the present Letter we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV).
Farook Rahaman +3 more
doaj +4 more sources
Multiview Differential Geometry of Curves [PDF]
, 2016 The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry. Point features, however, are not available in certain applications and result in unstructured point cloud reconstructions.
Fabbri, Ricardo, Kimia, Benjamin
arxiv +3 more sources
Geometry Students’ Arguments About a 1-Point Perspective Drawing [PDF]
REDIMAT, 2017 The practice of formulating and justifying claims is a fundamental aspect of doing mathematics, and in geometry, students’ use of diagrams is integral to how they establish arguments. We applied Toulmin’s model to examine 23 geometry students’ arguments
Anna F. DeJarnette, Gloriana Gonzalez
doaj +2 more sources
Fitting Geometric Shapes to Fuzzy Point Cloud Data [PDF]
Journal of ImagingThis article describes procedures and thoughts regarding the reconstruction of geometry-given data and its uncertainty. The data are considered as a continuous fuzzy point cloud, instead of a discrete point cloud.
Vincent B. Verhoeven +2 more
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Non-Uniform Voxelisation for Point Cloud Compression [PDF]
SensorsPoint cloud compression is essential for the efficient storage and transmission of 3D data in various applications, such as virtual reality, autonomous driving, and 3D modelling.
Bert Van hauwermeiren +2 more
doaj +2 more sources