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Geometry without topology as a new conception of geometry [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Yuri A. Rylov
doaj   +5 more sources

Quantifying similarity of pore-geometry in nanoporous materials [PDF]

open access: yesNature Communications, 2017
Pore structure plays an important role in dictating gas storage performance for nanoporous materials. Here, Smit and colleagues develop a topological approach to quantify pore structure similarity, and exploit the resulting descriptor to screen for ...
Yongjin Lee   +5 more
doaj   +8 more sources

Using the Van Hiele Theory to Explain Pre-Service Teachers’ Understanding of Similarity in Euclidean Geometry

open access: yesEducation Sciences, 2023
Helping learners to develop a solid grasp of geometric concepts poses a challenge for teachers. Therefore, it is important that teachers have a sound understanding of the geometry they teach.
Mduduzi Mbatha, Sarah Bansilal
doaj   +3 more sources

Epipolar geometry based on line similarity [PDF]

open access: yes2016 23rd International Conference on Pattern Recognition (ICPR), 2016
ICPR 2016, Cancun, Dec ...
Tavi Halperin   +2 more
exaly   +3 more sources

Fractals, coherent states and self-similarity induced noncommutative geometry

open access: yesPhysics Letters, Section A: General, Atomic and Solid State Physics, 2012
The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the $q$-deformed algebra of coherent states. Self-similar structures are related to dissipation and to noncommutative geometry in the
Giuseppe Vitiello
exaly   +3 more sources

On the Information Geometry of Audio Streams With Applications to Similarity Computing [PDF]

open access: yesIEEE Transactions on Audio Speech and Language Processing, 2011
This paper proposes methods for information processing of audio streams using methods of information geometry. We lay the theoretical groundwork for a framework allowing the treatment of signal information as information entities, suitable for similarity and symbolic computing on audio signals.
Arshia Cont   +2 more
exaly   +2 more sources

Similarity Graph-Based Camera Tracking for Effective 3D Geometry Reconstruction with Mobile RGB-D Camera

open access: yesSensors, 2019
In this paper, we present a novel approach for reconstructing 3D geometry from a stream of images captured by a consumer-grade mobile RGB-D sensor. In contrast to previous real-time online approaches that process each incoming image in acquisition order,
Jaepung An   +3 more
doaj   +3 more sources

Geometry-Aware Similarity Learning on SPD Manifolds for Visual Recognition

open access: yesIEEE Transactions on Circuits and Systems for Video Technology, 2018
ISSN:1558 ...
Zhiwu Huang   +2 more
exaly   +6 more sources

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