Neural Gaussian Scale-Space Fields
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Abstract (arXiv)
Gaussian scale spaces are a cornerstone of signal representation and processing, with applications in filtering, multiscale analysis, anti-aliasing, and many more. However, obtaining such a scale space is costly and cumbersome, in particular for continuous representations such as neural fields. We present an efficient and lightweight method to learn the fully continuous, anisotropic Gaussian scale space of an arbitrary signal. Based on Fourier feature modulation and Lipschitz bounding, our approach is trained self-supervised, i.e., training does not require any manual filtering. Our neural Gaussian scale-space fields faithfully capture multiscale representations across a broad range of modalities, and support a diverse set of applications. These include images, geometry, light-stage data, texture anti-aliasing, and multiscale optimization.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Builds on 41 of its 98 references that are in the map. First posted on arXiv 31 May 2024.
Builds on
41 of 98 references.
References · 41
- 2017Attention Is All You Needcited by 59,932
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2013Intriguing properties of neural networkscited by 5,114
- 2022Instant Neural Graphics Primitives with a Multiresolution Hash Encodingcited by 3,698
- 2017Progressive Growing of GANs for Improved Quality, Stability, and Variationcited by 2,967
- 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
- 2018Neural Tangent Kernel: Convergence and Generalization in Neural Networkscited by 2,597
- 2021Mip-NeRF: A Multiscale Representation for Anti-Aliasing Neural Radiance Fieldscited by 1,957
- 2018Spectral Normalization for Generative Adversarial Networkscited by 1,618
- 2018On the Spectral Bias of Neural Networkscited by 1,321
- 2020Nerfies: Deformable Neural Radiance Fieldscited by 1,194
- 2021Alias-Free Generative Adversarial Networkscited by 1,181
29 more
- 2021BARF: Bundle-Adjusting Neural Radiance Fieldscited by 641
- 2020Learning Continuous Image Representation with Local Implicit Image Functioncited by 550
- 2021Neural Fields in Visual Computing and Beyondcited by 539
- 2021Advances in Neural Renderingcited by 365
- 2018Regularisation of Neural Networks by Enforcing Lipschitz Continuitycited by 311
- 2023FreeNeRF: Improving Few-shot Neural Rendering with Free Frequency Regularizationcited by 310
- 2015Unitary Evolution Recurrent Neural Networkscited by 291
- 2018Sorting out Lipschitz function approximationcited by 211
- 2017Formal Guarantees on the Robustness of a Classifier against Adversarial Manipulationcited by 182
- 2021Deblur-NeRF: Neural Radiance Fields from Blurry Imagescited by 179
- 2017Spectral Norm Regularization for Improving the Generalizability of Deep Learningcited by 178
- 2021Deep Parametric Continuous Convolutional Neural Networkscited by 161
- 2021Modulated Periodic Activations for Generalizable Local Functional Representationscited by 140
- 2017Orthogonal Weight Normalization: Solution to Optimization over Multiple Dependent Stiefel Manifolds in Deep Neural Networkscited by 92
- 2022Learning Smooth Neural Functions via Lipschitz Regularizationcited by 86
- 2017Orthogonal Recurrent Neural Networks with Scaled Cayley Transformcited by 82
- 2016Tunable Efficient Unitary Neural Networks (EUNN) and their application to RNNscited by 62
- 2018Monte Carlo Convolution for Learning on Non-Uniformly Sampled Point Cloudscited by 62
- 2021SAPE: Spatially-Adaptive Progressive Encoding for Neural Optimizationcited by 59
- 2021UltraSR: Spatial Encoding is a Missing Key for Implicit Image Function-based Arbitrary-Scale Super-Resolutioncited by 56
- 2019Self-attention with Functional Time Representation Learningcited by 52
- 2018Stabilizing Gradients for Deep Neural Networks via Efficient SVD Parameterizationcited by 35
- 2022Residual Multiplicative Filter Networks for Multiscale Reconstructioncited by 25
- 2023Anti-Aliased Neural Implicit Surfaces with Encoding Level of Detailcited by 23
- 2016Learning Unitary Operators with Help From u(n)cited by 15
- 2021NeuMIP: Multi-Resolution Neural Materialscited by 15
- 2023Neural Field Convolutions by Repeated Differentiationcited by 9
- 2020What if Neural Networks had SVDs?cited by 8
- 2020From Discrete to Continuous Convolution Layerscited by 7
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Citing papers per year: 2025: 4; 2026: 2.
6 papers.
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- 2026Neural Harmonic Textures for High-Quality Primitive Based Neural Reconstruction1 Apr 2026
- 2026HOSC: A Periodic Activation with Saturation Control for High-Fidelity Implicit Neural Representations10 Jan 2026
- 2025Spectral Prefiltering of Neural Fields9 Oct 2025
- 2025Learning Neural Antiderivatives22 Sep 2025
- 2025T-MLP: Tailed Multi-Layer Perceptron for Level-of-Detail Signal Representation26 Aug 2025
- 2025VertexRegen: Mesh Generation with Continuous Level of Detail12 Aug 2025