Abstract Volumetric inverse rendering seeks to recover the optical properties of participating media from images. Existing approaches either rely on differentiable stochastic light transport simulation, which require substantial algorithmic effort, or use simplified models that fail to capture global illumination. We propose a formulation that reconciles physically complete light transport with general‐purpose neural optimization. The optical properties of the medium and the full light field are represented as neural fields and estimated through a joint optimization process. Global illumination is enforced via a residual objective derived from the Radiative Transfer Equation in local differential form, complemented by a volume rendering term along primary viewing rays to mitigate low‐frequency bias. We demonstrate reconstruction of spatially varying, color‐resolved scattering, absorption, and phase function parameters from multi‐view images. Beyond reconstruction, the same framework supports learning generative models of participating media with physical optical properties under global illumination.

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.

Neural fields are evolving towards a general-purpose continuous representation for visual computing. Yet, despite their numerous appealing properties, they are hardly amenable to signal processing. As a remedy, we present a method to perform general continuous convolutions with general continuous signals such as neural fields. Observing that piecewise polynomial kernels reduce to a sparse set of Dirac deltas after repeated differentiation, we leverage convolution identities and train a repeated integral field to efficiently execute large-scale convolutions. We demonstrate our approach on a variety of data modalities and spatially-varying kernels.

Existing any-to-any relighting methods suffer from the task-aliasing effects and the loss of local details in the image generation process, such as shading and attached-shadow. In this paper, we present PNRNet, a novel neural architecture that decomposes the any-to-any relighting task into three simpler sub-tasks, i.e. lighting estimation, color temperature transfer, and lighting direction transfer, to avoid the task-aliasing effects. These sub-tasks are easy to learn and can be trained with direct supervisions independently. To better preserve local shading and attached-shadow details, we propose a parallel multi-scale network that incorporates multiple physical attributes to model local illuminations for lighting direction transfer. We also introduce a simple yet effective color temperature transfer network to learn a pixel-level non-linear function which allows color temperature adjustment beyond the predefined color temperatures and generalizes well to real images. Extensive experiments demonstrate that our proposed approach achieves better results quantitatively and qualitatively than prior works.