Neural Gaussian Scale-Space Fields
<|reference_start|>Neural Gaussian Scale-Space Fields: 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.<|reference_end|>
@article{mujkanovic2024neural,
    title={Neural Gaussian Scale-Space Fields},
    author={Felix Mujkanovic, Ntumba Elie Nsampi, Christian Theobalt, Hans-Peter
  Seidel, Thomas Leimk"uhler},
    journal={ACM Transactions on Graphics, Volume 43, Issue 4, July 2024},
    year={2024},
    doi={10.1145/3658163},
    archivePrefix={arXiv},
    eprint={2405.20980},
    primaryClass={cs.CV cs.GR cs.LG}
}