Spherical Harmonics

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Overview

Spherical harmonics expand signals over directions into coefficients, making spherical data easier to analyze, transform, and compare under rotation. Common approaches include truncated harmonic expansions, spherical transforms and convolutions, SO(3)-equivariant and spin-weighted networks, and rotation-invariant descriptors. They are used for tasks ranging from Ambisonics audio and 3D appearance modeling to point-cloud registration, molecular prediction, and spatial reasoning from 360-degree views. A central tension is balancing compact, efficient low-order representations against the detail and interactions needed for high-frequency appearance, fine geometry, or chiral structures.

Latest papers

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18 papers3 papers in the last four weeks, level with the four weeks before. 0.0% of all new papers.

  1. A library for differentiable signal processing and machine learning on the sphere

    Sep 30, 2026Thorsten Kurth, Max Rietmann, Mauro Bisson +6Geometric Representation LearningSpherical Harmonics

    NVIDIA Corporation · California Institute of Technology

  2. Invariant Shape Analysis of Surfaces with Spherical Topology

    Sep 30, 2026T. Shaska, M. -R. SiadatSpherical HarmonicsSpectral Methods

  3. SphMind: Towards Robust, Training-Free VLM-based Spatial Reasoning with a 360 Camera

    Sep 27, 2026Shriram Damodaran, Soumyaratna Debnath, Cheston Tan +1Test-Time Adaptation of VLMs3D Spatial Reasoning

    IHPC, A*STAR, Singapore

  4. Spherical Harmonic Sliced Wasserstein Displacement Interpolation for Acoustic Source and Reflection Density Modeling

    Sep 18, 2026Yuancheng LuoSpatial AudioSliced Wasserstein Distance

    NuSpace Audio Cambridge, MA, USA

  5. Transforming harmonic coefficients for 3D splat compression

    Sep 14, 2026Tam Thuc Do, Philip A. Chou, Gene Cheung3DGS Compression3D Gaussian Splatting

    †York University, Canada · ⋆packet.media

  6. Compact Neural Appearance Models for Efficient Gaussian Splatting

    Sep 4, 2026Florian Hahlbohm, Jorge Condor, Linus Franke +23D Scene Representation3D Gaussian Splatting

    TU Braunschweig · Universit`a della Svizzera italiana · University of Würzburg +1

  7. SHReg: Strictly Rotation-Equivariant Point Cloud Registration via Spherical Harmonics

    Jul 25, 2026Chongjian Wang, Junjie GaoEquivariant Neural NetworksGeometric Representation Learning

    College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China · School of Artificial Intelligence, Shandong Women’s University, Jinan, China

  8. BubbleSH: A Dataset of Rising Bubbles with Deformable Interfaces

    Jul 8, 2026Rachna Ramesh, Kiet Bennema ten Brinke, Douwe Orij +2Generative ModelingSpherical Harmonics

    Department of Mathematics and Computer Science, Eindhoven University of Technology · Department of Chemical Engineering and Chemistry, Eindhoven University of Technology

  9. EAGOR: Embodied Reasoning in Omni-direction

    Jul 7, 2026Shriram Damodaran, Soumyaratna Debnath, Yan Wu +2Vision-Language NavigationSpherical Harmonics

    EmPACT Lab, NTU Singapore · Institute for Infocomm Research, A*STAR Singapore

  10. Spin-Weighted Spherical Harmonics Enable Complete and Scalable E(3)\mathrm{E}(3)-Equivariant Networks

    Jul 1, 2026Chenxing Liang, Yuchao Lin, Andrii Kryvenko +5Machine Learning Interatomic PotentialsEquivariant Neural Networks

    Department of Computer Science and Engineering, Texas A&M University · Lambda, Inc. · Department of Materials Science and Engineering, Texas A&M University +3

  11. Beyond Spherical Harmonics: Rethinking Appearance Models for Radiance Reconstruction

    Jun 8, 2026Ewa Miazga, Jorge Condor, Piotr DidykNovel View Synthesis3D Scene Representation

    1École Polytechnique Fédérale de Lausanne, Switzerland · 2Università della Svizzera Italiana, Lugano, Switzerland

  12. SHB-AE: Spherical harmonic beamforming based Ambisonics encoding and upscaling method for smartphone microphone array

    Jun 3, 2026Yuhuan You, Yufan Qian, Tianshu Qu +2Microphone Array ProcessingSpherical Harmonics

    Peking University · Beijing Xiaomi Mobile Software Co., Ltd · Xiaomi Communications Co., Ltd

  13. Rotation-Invariant Spherical Watermarking via Third-Order SO(3) Representation Coupling

    May 26, 2026Pengzhen Chen, Yanwei Liu, Xiaoyan Gu +3Robust WatermarkingSpherical Harmonics

    Institute of Information Engineering, Chinese Academy of Sciences · School of Cyber Security, University of Chinese Academy of Sciences · State Key Laboratory of Cyberspace Security Defense +2

  14. Full 3D Radiation Pattern Approximation in Multi-Rotor UAVs

    Apr 3, 2026Martin Zoula, Daniel Bonilla Licea, Jan Faigl +2Wireless CommunicationsSpherical Harmonics

    Faculty of Electrical Engineering, Czech Technical University in Prague · Mohammed VI Polytechnic University, Morocco

  15. SHARC: Reference point driven Spherical Harmonic Representation for Complex Shapes

    Apr 2, 2026Panagiotis Sapoutzoglou, George Terzakis, Maria Pateraki3D Shape Generation3D Mesh Generation

    National Technical University of Athens, Athens, Greece

  16. SHroom: A Python Framework for Ambisonics Room Acoustics Simulation and Binaural Rendering

    Mar 28, 2026Yhonatan Gayer, Boaz RafaelySpatial AudioRoom Acoustics

    Ben Gurion University of the Negev

  17. Asymptotically Fast Clebsch-Gordan Tensor Products with Vector Spherical Harmonics

    Feb 25, 2026YuQing Xie, Ameya Daigavane, Mit Kotak +1Spherical HarmonicsEquivariant Neural Networks

    Department of EECS, Massachusetts Institute of Technology, Cambridge, MA 02139, USA · Department of CSE, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

  18. Dropping Anchor and Spherical Harmonics for Sparse-view Gaussian Splatting

    Feb 24, 2026Shuangkang Fang, I-Chao Shen, Xuanyang Zhang +53D Gaussian SplattingSparse-View 3D Reconstruction

    Beihang University · The University of Tokyo · StepFun