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We introduce a new approach for identifying and characterizing voids within two-dimensional (2D) point distributions through the integration of Delaunay triangulation and Voronoi diagrams, combined with a Minimal Distance Scoring algorithm.…

Computational Geometry · Computer Science 2024-01-01 Netzer Moriya

Palmprint recently shows great potential in recognition applications as it is a privacy-friendly and stable biometric. However, the lack of large-scale public palmprint datasets limits further research and development of palmprint…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Lei Shen , Jianlong Jin , Ruixin Zhang , Huaen Li , Kai Zhao , Yingyi Zhang , Jingyun Zhang , Shouhong Ding , Yang Zhao , Wei Jia

Biometric systems based on Machine learning and Deep learning are being extensively used as authentication mechanisms in resource-constrained environments like smartphones and other small computing devices. These AI-powered facial…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Mohit Raghavendra , Pravan Omprakash , B R Mukesh , Sowmya Kamath

We present a method for reconstructing triangle meshes from point clouds. Existing learning-based methods for mesh reconstruction mostly generate triangles individually, making it hard to create manifold meshes. We leverage the properties…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Marie-Julie Rakotosaona , Paul Guerrero , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov

Two-dimensional Delaunay triangulation is a fundamental aspect of computational geometry. This paper presents a novel algorithm that is specifically designed to ensure the correctness of 2D Delaunay triangulation, namely the Polygonal…

Computational Geometry · Computer Science 2024-01-17 Sora Sawai , Kazuaki Tanaka , Katsuhisa Ozaki , Shin'ichi Oishi

In this study, we present a novel molecular fingerprint generation method based on multiparameter persistent homology. This approach reveals the latent structures and relationships within molecular geometry, and detects topological features…

Biomolecules · Quantitative Biology 2023-11-21 Andac Demir , Bulent Kiziltan

Via circle pattern techniques, random planar triangulations (with angle variables) are mapped onto Delaunay triangulations in the complex plane. The uniform measure on triangulations is mapped onto a conformally invariant spatial point…

Mathematical Physics · Physics 2013-12-23 Francois David , Bertrand Eynard

Registration of diffusion MRI tractography is an essential step for analyzing group similarities and variations in the brain's white matter (WM). Streamline-based registration approaches can leverage the 3D geometric information of fiber…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Junyi Wang , Mubai Du , Ye Wu , Yijie Li , William M. Wells , Lauren J. O'Donnell , Fan Zhang

Every surface that is intrinsically polyhedral can be represented by a portalgon: a collection of polygons in the Euclidean plane with some pairs of equally long edges abstractly identified. While this representation is arguably simpler…

Computational Geometry · Computer Science 2026-03-26 Loïc Dubois

Latent fingerprint matching is a daunting task, primarily due to the poor quality of latent fingerprints. In this study, we propose a deep-learning based dense minutia descriptor (DMD) for latent fingerprint matching. A DMD is obtained by…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Zhiyu Pan , Yongjie Duan , Xiongjun Guan , Jianjiang Feng , Jie Zhou

Triangle meshes remain the most popular data representation for surface geometry. This ubiquitous representation is essentially a hybrid one that decouples continuous vertex locations from the discrete topological triangulation.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Marie-Julie Rakotosaona , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov , Paul Guerrero

Image registration is a research field in which images must be compared and aligned independently of the point of view or camera characteristics. In some applications (such as forensic biometrics, satellite photography or outdoor scene…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Carlos Francisco Moreno-Garcia , Francesc Serratosa

Deep neural networks (DNNs) have shown incredible promise in learning fixed-length representations from fingerprints. Since the representation learning is often focused on capturing specific prior knowledge (e.g., minutiae), there is no…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Akash Godbole , Karthik Nandakumar , Anil K. Jain

A new O(nlog(n)) algorithm is presented for performing Delaunay triangulation of sets of 2D points. The novel component of the algorithm is a radially propagating \emph{sweep-hull} (sequentially created from the radially sorted set of 2D…

Computational Geometry · Computer Science 2016-04-07 David Sinclair

Palm vein recognition is an emerging biometric technology that offers enhanced security and privacy. However, acquiring sufficient palm vein data for training deep learning-based recognition models is challenging due to the high costs of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Sheng Shang , Chenglong Zhao , Ruixin Zhang , Jianlong Jin , Jingyun Zhang , Rizen Guo , Shouhong Ding , Yunsheng Wu , Yang Zhao , Wei Jia

The rapid growth of image data has led to the development of advanced image processing and computer vision techniques, which are crucial in various applications such as image classification, image segmentation, and pattern recognition.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Zeinab Sedaghatjoo , Hossein Hosseinzadeh , Bahram Sadeghi Bigham

A key for person re-identification is achieving consistent local details for discriminative representation across variable environments. Current stripe-based feature learning approaches have delivered impressive accuracy, but do not make a…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Guanshuo Wang , Yufeng Yuan , Jiwei Li , Shiming Ge , Xi Zhou

Contactless 3D finger knuckle patterns have emerged as an effective biometric identifier due to its discriminativeness, visibility from a distance, and convenience. Recent research has developed a deep feature collaboration network which…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Kevin H. M. Cheng , Xu Cheng , Guoying Zhao

In this paper we show that many sequential randomized incremental algorithms are in fact parallel. We consider algorithms for several problems including Delaunay triangulation, linear programming, closest pair, smallest enclosing disk,…

Data Structures and Algorithms · Computer Science 2018-10-15 Guy E. Blelloch , Yan Gu , Julian Shun , Yihan Sun

The motivation of this paper is to recognize a geometric shape from a noisy sample in the form of a point cloud. Inspired by the HDBSCAN clustering algorithm, we introduce the core dissimilarity, from which we construct the core…

Algebraic Topology · Mathematics 2025-09-12 Nello Blaser , Morten Brun , Odin Hoff Gardaa , Lars M. Salbu
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