001 Balancing multiscale similarity and cartographic constraints: A similarity-driven optimization framework for line generalization arXiv Paper Pengbo Li, Haowen Yan et al. 3 days ago 002 Denoising 3D images: robustness of persistent homology measures arXiv Paper E. Dagdelen, A. Karlekar et al. 4 days ago 003 Staypoint Detection from Noisy Trajectory Data [Experiment Paper] arXiv Paper Lance Kennedy, Hossein Amiri et al. Jul 21 004 When Is Heterogeneous Distance-Decay Facility Location Tractable? A Structural Classification, Exact Methods, and a Real-World Study arXiv Paper Zhou He, T. Cheng et al. Jul 18 005 HyperShadow: A Benchmark for Detecting 3D Projections of Higher-Dimensional Spatial Objects arXiv Paper Akshay Sasi Jul 15 006 TreeSRNF: Square-Root Normal Fields for Generative Modelling of the Geometric and Structural Variability in Tree-like 3D Objects arXiv Paper Tahmina Khanam, Hamid Laga et al. Jul 15 007 Efficient Online Proportional Sampling with Applications to Smoothed Online Learning arXiv Paper Amirmahdi Mirfakhar, Maria-Florina Balcan et al. Jul 13 008 Terminal Dimension Reduction for Time Series with Applications arXiv Paper Alexander Munteanu, Matteo Russo et al. Jul 10 009 3DMPE: 3D Multi-Perspective Embedding arXiv Paper Vahan Huroyan et al. Jul 6 010 Aperture-aware Dispersion 5-D Light-field Imaging Spectrometer arXiv Paper Chenglong Huang et al. Jul 6 011 Dimension Reduction for Curves: Simplified and Generalized arXiv Paper Matthijs Ebbens, Jie Lu et al. Jul 3 012 Guaranteed Escape for a Bouncing Robot in Pipe Chains arXiv Paper Ahmad Kamaludeen et al. Jun 30 013 Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition arXiv Paper Michael T. M. Emmerich Jun 29 014 Informational Frustration in Neural Manifolds: Shannon Bottlenecks and the Limits of Learnability arXiv Paper S. Rao, Vangmayi P Reddy Jun 29 015 Trajectory Optimization for Collision-Aware Redundant Robotic Multi-Axis Additive Manufacturing by Constrained Gradient Projection arXiv Paper Zhikai Shen et al. Jun 29 016 Invariant Reasoning Directions in Latent Trajectories of Language Models arXiv Paper Arun Vignesh Malarkkan, M. Choudhury et al. Jun 28 017 Three-Objective Integral R2 Subset Selection: NP-Hardness and Submodular Approximation arXiv Paper Michael T. M. Emmerich Jun 25 018 Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry arXiv Paper Luoning Zhang, Zhuang Xu et al. Jun 24 019 Arc-Length Parameterized Interpolating Splines arXiv Paper Dafna K. Matsegora et al. Jun 19 020 DPLAN: Minimal Connectivity to Floorplan Generation arXiv Paper Rohit Lohani et al. Jun 19 021 Learning to Place Guards by Reinforcement: A Geo-Free Neural Policy for the Vertex-Guard Art Gallery Problem arXiv Paper Domagoj vSeverdija, J. Maltar et al. Jun 19 022 Fisher-Geometric Sharpness and the Implicit Bias of SGD toward Flat Minima arXiv Paper Md. Sakir Ahmed, K. Sarmah et al. Jun 18 023 A Neural Network Framework for Geodesic-Like Curve Computation on Parametric Surfaces arXiv Paper Sheng-Gwo Chen, Cheng-Chang Peng Jun 17 024 Agent Utilities over Generalized Voronoi Regions and their Gradients arXiv Paper Andre N. Costa et al. Jun 16 025 Blended Chart Surfaces: A Seamless Explicit Representation for Smooth Surface Fitting arXiv Paper Romy Williamson et al. Jun 16 026 Compact Geometric Representations of Hierarchies arXiv Paper Prashant Gokhale, Piotr Indyk et al. Jun 16 027 High-Fidelity 3D Geometric Reconstruction of Pelvic Organs from MRI: A Hybrid Deep Learning and Iterative Optimization Approach arXiv Paper Hui Wang, Xiaowei Li et al. Jun 16 028 Non-negative Matrix Factorisation with Topological Regularisation arXiv Paper Matias de Jong van Lier, Shizuo Kaji et al. Jun 16 029 Efficient Mean Curvature Computation on High-Dimensional Data Manifolds arXiv Paper A. L. M. Levada Jun 4 030 Efficient Computation of Distance Functions for Navigation Vector Fields in Lie Groups arXiv Paper Vinicius M. Gonçalves et al. Jun 3 031 Hierarchical Space Partition for Surface Reconstruction arXiv Paper Minjie Tang et al. Jun 3 032 Optimizing Explicit Unit-Distance Lower-Bound Certificates arXiv Paper Michael T. M. Emmerich Jun 2 033 S2MDF: A Plug-And-Play Layer for Intersection-Free Multi-Object Signed Distance Fields arXiv Paper Deniz Sayin Mercadier et al. May 28 034 TopoAlign: Topology-Aware Visual Representation Alignment arXiv Paper Xinyuan Yan, R. Sevastjanova et al. May 25 035 A Geometric Gaussian Mixture Representation of Plane Curves arXiv Paper A. Darijani, Benedikt Stratmann et al. May 24 036 Exact Uniform L1 Spacing for Solow-Polasky Diversity on Lines and Ordered Pareto Fronts arXiv Paper Michael T. M. Emmerich et al. May 21 037 Euclidean Embedding of Data Using Local Distances arXiv Paper Dimitris Arabadjis May 19 038 Generalize cross-ratios in n-dimensional Plane-Based Geometric Algebra arXiv Paper Enzo Harquin et al. May 18 039 Optimizing Line Segment Inspection with Limited-Range Drones arXiv Paper José-Miguel Díaz-Báñez et al. May 15 040 Meschers: Geometry Processing of Impossible Objects arXiv Paper Ana Dodik et al. May 14 041 Topology-Preserving Neural Operator Learning via Hodge Decomposition arXiv Paper Dongzhe Zheng, Tao Zhong et al. May 13 042 Towards Scalable Persistence-Based Topological Optimization arXiv Paper Abderrahim Bendahi, Alexandre Duplessis et al. May 9 043 Geometry-Aware Simplicial Message Passing arXiv Paper E. Wang, Bastian Rieck May 7 044 The Magnitude of Dominated Sets: A Pareto Compliant Indicator Grounded in Metric Geometry arXiv Paper Michael T. M. Emmerich Apr 20 045 Medial Axis Aware Learning of Signed Distance Functions arXiv Paper Samuel Weidemaier, Christoph Norden-Smoch et al. Apr 15 046 Any 3D Scene is Worth 1K Tokens: 3D-Grounded Representation for Scene Generation at Scale arXiv Paper Dongxu Wei et al. Apr 13 047 A Ray Intersection Algorithm for Fast Growth Distance Computation Between Convex Sets arXiv Paper Akshay Thirugnanam et al. Apr 11 048 Strips as Tokens: Artist Mesh Generation with Native UV Segmentation arXiv Paper Rui Xu et al. Apr 10 049 Topo-ADV: Generating Topology-Driven Imperceptible Adversarial Point Clouds arXiv Paper Gayathry Chandramana Krishnan Nampoothiry et al. Apr 10 050 SHARC: Reference point driven Spherical Harmonic Representation for Complex Shapes arXiv Paper Panagiotis Sapoutzoglou et al. Apr 2 051 Neural Approximation of Generalized Voronoi Diagrams arXiv Paper Panagiotis Rigas, G. Ioannakis et al. Mar 27 052 Persistence-based topological optimization: a survey arXiv Paper Mathieu Carriere et al. Mar 24 053 GeoLAN: Geometric Learning of Latent Explanatory Directions in Large Language Models arXiv Paper T. Pan, Damon L. Woodard Mar 19 054 Hardness of High-Dimensional Linear Classification arXiv Paper Alexander Munteanu, Simon Omlor et al. Mar 19 055 Unlabeled Multi-Robot Motion Planning with Improved Separation Trade-offs arXiv Paper Tsuri Farhana, O. Filtser et al. Mar 19 056 Sublinear-Time Reconfiguration of Programmable Matter with Joint Movements arXiv Paper Manish Kumar et al. Mar 11 057 Topologically Stable Hough Transform arXiv Paper Stefan Huber et al. Mar 9 058 Generalizing Fair Top-$k$ Selection: An Integrative Approach arXiv Paper Guangya Cai Mar 5 059 Quadratic polarity and polar Fenchel-Young divergences from the canonical Legendre polarity arXiv Paper Frank Nielsen et al. Mar 5 060 Geometric structures and deviations on James' symmetric positive-definite matrix bicone domain arXiv Paper Jacek Karwowski et al. Mar 3