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The Axioms of Non-Metrical Geometry
The Mathematical Gazette, 1963As Geometry was developed in recent centuries, it became realised that some of the more interesting results were not metrical in nature, and that even some of the metrical theorems were immediately derivable from more general non-metrical ones. For example, mid-point theorems were often derivable from harmonic theory, and confocal conics from general ...
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Orthogonal geometry, metric geometry and ordinary geometry
1994In Desarguesian (plane) geometry which takes Hilbert’s axioms of incidence H I, (sharper) axiom of parallels HIV, the axiom of infinity D∞ and Desargues’ axioms D as its basis, one can uniquely determine a Desarguesian number system N, called a geometry-associated Desarguesian number system, as has been exhibited in the previous sections.
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Joint Geometry and Color Projection-Based Point Cloud Quality Metric
IEEE Access, 2022Fernando Pereira +2 more
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Mahalanobis Based Point to Distribution Metric for Point Cloud Geometry Quality Evaluation
IEEE Signal Processing Letters, 2020Fernando Pereira +2 more
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Limit Operators Techniques on General Metric Measure Spaces of Bounded Geometry
Journal of Mathematical Analysis and Applications, 2020Christian Seifert, Raffael Hagger
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Design of 3D Metric Geometry Study and Research Activities Within a BIM Framework
Mathematics, 2022Jose Manuel Olmos Noguera +1 more
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A Point-to-Distribution Joint Geometry and Color Metric for Point Cloud Quality Assessment
2021Fernando Pereira +2 more
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