mlsanityData to 7 Oct 2026

DARB-Splatting: Generalizing Splatting with Decaying Anisotropic Radial Basis Functions

arXiv 2501.12369 ↗First posted 21 Jan 2025cs.CV cs.AI cs.GRcited by 4

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Abstract (arXiv)

Splatting-based 3D reconstruction methods have gained popularity with the advent of 3D Gaussian Splatting, efficiently synthesizing high-quality novel views. These methods commonly resort to using exponential family functions, such as the Gaussian function, as reconstruction kernels due to their anisotropic nature, ease of projection, and differentiability in rasterization. However, the field remains restricted to variations within the exponential family, leaving generalized reconstruction kernels largely underexplored, partly due to the lack of easy integrability in 3D to 2D projections. In this light, we show that a class of decaying anisotropic radial basis functions (DARBFs), which are non-negative functions of the Mahalanobis distance, supports splatting by approximating the Gaussian function's closed-form integration advantage. With this fresh perspective, we demonstrate varying performances across selected DARB reconstruction kernels, achieving comparable training convergence and memory footprints, with on-par PSNR, SSIM, and LPIPS results.

Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 57 of its 85 references that are in the map. First posted on arXiv 21 Jan 2025.

Builds on

57 of 85 references.

References · 57

  1. 20233D Gaussian Splatting for Real-Time Radiance Field Renderingcited by 6,141
  2. 2022Instant Neural Graphics Primitives with a Multiresolution Hash Encodingcited by 3,698
  3. 2021Mip-NeRF 360: Unbounded Anti-Aliased Neural Radiance Fieldscited by 2,013
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  11. 2021PlenOctrees for Real-time Rendering of Neural Radiance Fieldscited by 904
  12. 2023DreamGaussian: Generative Gaussian Splatting for Efficient 3D Content Creationcited by 837
38 more
  1. 2021Depth-supervised NeRF: Fewer Views and Faster Training for Freecited by 732
  2. 2022Block-NeRF: Scalable Large Scene Neural View Synthesiscited by 720
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  11. 2023Gaussian Grouping: Segment and Edit Anything in 3D Scenescited by 387
  12. 2023PhysGaussian: Physics-Integrated 3D Gaussians for Generative Dynamicscited by 368
  13. 2023Compact 3D Gaussian Representation for Radiance Fieldcited by 365
  14. 2021NeRF in the Dark: High Dynamic Range View Synthesis from Noisy Raw Imagescited by 336
  15. 2023GaussianEditor: Swift and Controllable 3D Editing with Gaussian Splattingcited by 331
  16. 2021Dense Depth Priors for Neural Radiance Fields from Sparse Input Viewscited by 301
  17. 2023GS-SLAM: Dense Visual SLAM with 3D Gaussian Splattingcited by 278
  18. 2023GaussianDreamer: Fast Generation from Text to 3D Gaussians by Bridging 2D and 3D Diffusion Modelscited by 255
  19. 2023Compressed 3D Gaussian Splatting for Accelerated Novel View Synthesiscited by 232
  20. 2021Learning Object-Compositional Neural Radiance Field for Editable Scene Renderingcited by 228
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  22. 2021Editing Conditional Radiance Fieldscited by 222
  23. 2021HyperNeRF: A Higher-Dimensional Representation for Topologically Varying Neural Radiance Fieldscited by 210
  24. 2023Language Embedded 3D Gaussians for Open-Vocabulary Scene Understandingcited by 205
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  26. 20243DGStream: On-the-Fly Training of 3D Gaussians for Efficient Streaming of Photo-Realistic Free-Viewpoint Videoscited by 156
  27. 2024Reducing the Memory Footprint of 3D Gaussian Splattingcited by 129
  28. 2023CompGS: Smaller and Faster Gaussian Splatting with Vector Quantizationcited by 127
  29. 2023DynMF: Neural Motion Factorization for Real-time Dynamic View Synthesis with 3D Gaussian Splattingcited by 124
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  31. 2021FENeRF: Face Editing in Neural Radiance Fieldscited by 112
  32. 2021HumanNeRF: Efficiently Generated Human Radiance Field from Sparse Inputscited by 112
  33. 2024FreGS: 3D Gaussian Splatting with Progressive Frequency Regularizationcited by 103
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  38. 2024Sparse Voxels Rasterization: Real-time High-fidelity Radiance Field Renderingcited by 35

50 most cited of 57 All 57 (JSON)

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 3; 2026: 1.

4 papers.

  1. 2025Radiant Triangle Soup with Soft Connectivity Forces for 3D Reconstruction and Novel View Synthesiscited by 2
  2. 2025A Mixed-Primitive-based Gaussian Splatting Method for Surface Reconstructioncited by 0
  3. 2025Towards High-Fidelity Gaussian Splatting with Queried-Convolution Neural Networkscited by 0
  4. 2026From ex(p) to poly: Gaussian Splatting with Polynomial Kernelscited by 0