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The geometry of fixed point varieties on affine flag manifolds [PDF]
, 1999 Let $G$ be a semisimple, simply connected, algebraic group over an algebraically closed field $k$ with Lie algebra $\frak g$. We study the spaces of parahoric subalgebras of a given type containing a fixed nil-elliptic element of $\frak g\otimes k((\pi))$
Daniel S. Sage
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Autoregressive and Residual Index Convolution Model for Point Cloud Geometry Compression [PDF]
SensorsThis study introduces a hybrid point cloud compression method that transfers from octree-nodes to voxel occupancy estimation to find its lower-bound bitrate by using a Binary Arithmetic Range Coder.
Gerald Baulig, Jiun-In Guo
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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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CLUSTERING OF WALL GEOMETRY FROM UNSTRUCTURED POINT CLOUDS [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2019 The automated reconstruction of Building Information Modeling (BIM) objects from point cloud data is still ongoing research. A key aspect is retrieving the proper observations for each object. After segmenting and classifying the initial point cloud, the
M. Bassier, M. Vergauwen
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Joint Geometry and Color Projection-Based Point Cloud Quality Metric
IEEE Access, 2022 Point cloud coding solutions have been recently standardized to address the needs of multiple application scenarios. The design and assessment of point cloud coding methods require reliable objective quality metrics to evaluate the level of degradation ...
Alireza Javaheri +3 more
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