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Geometry-aware point cloud clustering for spherical-component aggregate modeling [PDF]
Scientific ReportsThis paper proposes a method for obtaining independent mesh models of individual components from a point cloud representing an aggregate. An aggregate consists of a collection of small, similar components, such as individual grapes in a bunch.
Yuta Muramatsu +2 more
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A point's point of view of stringy geometry [PDF]
Journal of High Energy Physics, 2003 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 point from a worldsheet point of view.
Paul S. Aspinwall
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Geometry of antimatroidal point sets [PDF]
, 2008 14 pages, 3 ...
Yulia Kempner, Vadim E. Levit
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Point cloud geometry compression with sparse cascaded residuals and sparse attention [PDF]
Electronics LettersEffective compression of point clouds is essential for implementing virtual and mixed reality applications, which require encoding millions or even tens of millions of points. This paper offers a new geometric compression for point clouds based on sparse
Shiyu Lu, Huamin Yang, Cheng Han
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A Machine Proof System of Point Geometry Based on Coq
Mathematics, 2023 An important development in geometric algebra in recent years is the new system known as point geometry, which treats points as direct objects of operations and considerably simplifies the process of geometric reasoning.
Siran Lei +4 more
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Variable Rate Point Cloud Geometry Compression Method
Sensors, 2023 With the development of 3D sensors technology, 3D point cloud is widely used in industrial scenes due to their high accuracy, which promotes the development of point cloud compression technology.
Lehui Zhuang +3 more
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GEOMETRY-BASED POINT CLOUD CLASSIFICATION USING HEIGHT DISTRIBUTIONS [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2020 Semantic segmentation is one of the main steps in the processing chain for Airborne Laser Scanning (ALS) point clouds, but it is also one of the most labour intensive steps, as it requires many labelled examples to train a classifier.
F. Politz, M. Sester, C. Brenner
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TransPCGC: Point Cloud Geometry Compression Based on Transformers
Algorithms, 2023 Due to the often substantial size of the real-world point cloud data, efficient transmission and storage have become critical concerns. Point cloud compression plays a decisive role in addressing these challenges.
Shiyu Lu, Huamin Yang, Cheng Han
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Missing the point in noncommutative geometry [PDF]
Synthese, 2021 AbstractNoncommutative geometries generalize standard smooth geometries, parametrizing the noncommutativity of dimensions with a fundamental quantity with the dimensions of area. The question arises then of whether the concept of a region smaller than the scale—and ultimately the concept of a point—makes sense in such a theory.
Huggett N., Lizzi F., Menon T.
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Asymptotic geometry and Delta-points
Banach Journal of Mathematical Analysis, 2022 AbstractWe study Daugavet- and $$\Delta$$ Δ -points in Banach spaces. A norm one element x is a Daugavet-point (respectively, a $$\Delta$$ Δ -point) if in every slice of the unit ball (respectively, in every slice of the unit ball containing x) you can find another element of distance ...
Abrahamsen, Trond Arnold +3 more
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