# A Variational Approach to Shape-from-shading Under Natural Illumination

arXiv: https://arxiv.org/abs/1709.10354 · HTML: https://mlsanity.com/paper/1709.10354/

## Key facts

- Cited by 6 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Sep 2017.

## Built on by (most cited first, 6 of 6)

- [Unified Shape and SVBRDF Recovery using Differentiable Monte Carlo Rendering](https://mlsanity.com/paper/2103.15208/) (2021)
- [Parameterized Temperature Scaling for Boosting the Expressive Power in Post-Hoc Uncertainty Calibration](https://mlsanity.com/paper/2102.12182/) (2021)
- [FastHuman: Reconstructing High-Quality Clothed Human in Minutes](https://mlsanity.com/paper/2211.14485/) (2022)
- [Progressive Radiance Distillation for Inverse Rendering with Gaussian Splatting](https://mlsanity.com/paper/2408.07595/) (2024)
- [Towards Scalable Multi-View Reconstruction of Geometry and Materials](https://mlsanity.com/paper/2306.03747/) (2023)
- [Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields](https://mlsanity.com/paper/2107.06028/) (2021)

## Abstract (arXiv)

A numerical solution to shape-from-shading under natural illumination is presented. It builds upon an augmented Lagrangian approach for solving a generic PDE-based shape-from-shading model which handles directional or spherical harmonic lighting, orthographic or perspective projection, and greylevel or multi-channel images. Real-world applications to shading-aware depth map denoising, refinement and completion are presented.