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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
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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
doaj +2 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
PoinTr: Diverse Point Cloud Completion with Geometry-Aware Transformers [PDF]
IEEE International Conference on Computer Vision, 2021 Point clouds captured in real-world applications are of-ten incomplete due to the limited sensor resolution, single viewpoint, and occlusion. Therefore, recovering the complete point clouds from partial ones becomes an indispensable task in many ...
Xumin Yu +5 more
semanticscholar +1 more source
AdaPoinTr: Diverse Point Cloud Completion With Adaptive Geometry-Aware Transformers [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023 In this paper, we propose a Transformer encoder-decoder architecture, called PoinTr, which reformulates point cloud completion as a set-to-set translation problem and employs a geometry-aware block to model local geometric relationships explicitly.
Xumin Yu +4 more
semanticscholar +1 more source
Lossless Point Cloud Geometry and Attribute Compression Using a Learned Conditional Probability Model [PDF]
IEEE transactions on circuits and systems for video technology (Print), 2023 In recent years, we have witnessed the presence of point cloud data in many aspects of our life, from immersive media, autonomous driving to healthcare, although at the cost of a tremendous amount of data.
D. Nguyen, A. Kaup
semanticscholar +1 more source
GPV-Pose: Category-level Object Pose Estimation via Geometry-guided Point-wise Voting [PDF]
Computer Vision and Pattern Recognition, 2022 While 6D object pose estimation has recently made a huge leap forward, most methods can still only handle a single or a handful of different objects, which limits their applications.
Yan Di +6 more
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Inter-Frame Compression for Dynamic Point Cloud Geometry Coding [PDF]
IEEE Transactions on Image Processing, 2022 Efficient point cloud compression is essential for applications like virtual and mixed reality, autonomous driving, and cultural heritage. This paper proposes a deep learning-based inter-frame encoding scheme for dynamic point cloud geometry compression.
Anique Akhtar, Zhu Li, G. Van der Auwera
semanticscholar +1 more source