FIRe: Fast Inverse Rendering using Directional and Signed Distance Functions
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Abstract (arXiv)
Neural 3D implicit representations learn priors that are useful for diverse applications, such as single- or multiple-view 3D reconstruction. A major downside of existing approaches while rendering an image is that they require evaluating the network multiple times per camera ray so that the high computational time forms a bottleneck for downstream applications. We address this problem by introducing a novel neural scene representation that we call the directional distance function (DDF). To this end, we learn a signed distance function (SDF) along with our DDF model to represent a class of shapes. Specifically, our DDF is defined on the unit sphere and predicts the distance to the surface along any given direction. Therefore, our DDF allows rendering images with just a single network evaluation per camera ray. Based on our DDF, we present a novel fast algorithm (FIRe) to reconstruct 3D shapes given a posed depth map. We evaluate our proposed method on 3D reconstruction from single-view depth images, where we empirically show that our algorithm reconstructs 3D shapes more accurately and it is more than 15 times faster (per iteration) than competing methods.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 37 of its 64 references that are in the map. First posted on arXiv 30 Mar 2022.
Builds on
37 of 64 references.
References · 37
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25 more
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Built on by
Citing papers per year: 2023: 3; 2024: 3; 2025: 2; 2026: 1.
9 papers.
- 2023The Sky's the Limit: Re-lightable Outdoor Scenes via a Sky-pixel Constrained Illumination Prior and Outside-In Visibilitycited by 11
- 2023Reconstructive Latent-Space Neural Radiance Fields for Efficient 3D Scene Representationscited by 5
- 2024CoFie: Learning Compact Neural Surface Representations with Coordinate Fieldscited by 5
- 2023MARF: The Medial Atom Ray Field Object Representationcited by 2
- 2025Mesh Compression with Quantized Neural Displacement Fieldscited by 1
- 2026Shape Representation using Gaussian Process mixture modelscited by 1
- 2024Probabilistic Directed Distance Fields for Ray-Based Shape Representationscited by 0
- 2024COBRA -- COnfidence score Based on shape Regression Analysis for method-independent quality assessment of object pose estimation from single imagescited by 0
- 2025Learning Scene-Level Signed Directional Distance Function with Ellipsoidal Priors and Neural Residualscited by 0
- 2026Shape Representation using Gaussian Process mixture models1 Apr 2026
- 2025Mesh Compression with Quantized Neural Displacement Fields28 Mar 2025
- 2025Learning Scene-Level Signed Directional Distance Function with Ellipsoidal Priors and Neural Residuals25 Mar 2025
- 2024CoFie: Learning Compact Neural Surface Representations with Coordinate Fields5 Jun 2024
- 2024COBRA -- COnfidence score Based on shape Regression Analysis for method-independent quality assessment of object pose estimation from single images25 Apr 2024
- 2024Probabilistic Directed Distance Fields for Ray-Based Shape Representations13 Apr 2024
- 2023The Sky's the Limit: Re-lightable Outdoor Scenes via a Sky-pixel Constrained Illumination Prior and Outside-In Visibility28 Nov 2023
- 2023Reconstructive Latent-Space Neural Radiance Fields for Efficient 3D Scene Representations27 Oct 2023
- 2023MARF: The Medial Atom Ray Field Object Representation30 Jun 2023