Near-Light Color Photometric Stereo for mono-Chromaticity non-lambertian surface
Zonglin Li, Jieji Ren, Shuangfan Zhou, Heng Guo, Jinnuo Zhang, Jiang Zhou, Boxin Shi, Zhanyu Ma, Guoying Gu
TL;DR
This work tackles single-shot color photometric stereo under near-field, non-Lambertian illumination by leveraging neural implicit representations for depth and BRDF under mono-chromaticity. It introduces a neural surface model to predict depth per pixel and derive normals from depth gradients, and a neural BRDF model with independent RGB branches guided by the Rusinkiewicz parameterization, all trained end-to-end with a differentiable near-light rendering equation $\hat{I}_{u,v} = \mathbf{r} \cdot \frac{\varphi}{\|\mathbf{l}-\mathbf{x}\|^2} \max(\mathbf{q}^\top \mathbf{n}, 0)$. The approach turns the color photometric stereo ill-posed problem into a well-posed one by exploiting mono-chromaticity and shared BRDF structure, enabling accurate normal, depth, and mesh recovery from a single snapshot. It is validated on synthetic data and in real-world scenarios using a compact visuo-tactile sensor (NearLightTactile), with a Crosstalk Correction Module improving photometric consistency in compact hardware. The results demonstrate robust and high-fidelity 3D reconstruction under challenging near-light and non-Lambertian conditions, highlighting practical implications for tactile sensing and in-situ Shape-from-Shading tasks.
Abstract
Color photometric stereo enables single-shot surface reconstruction, extending conventional photometric stereo that requires multiple images of a static scene under varying illumination to dynamic scenarios. However, most existing approaches assume ideal distant lighting and Lambertian reflectance, leaving more practical near-light conditions and non-Lambertian surfaces underexplored. To overcome this limitation, we propose a framework that leverages neural implicit representations for depth and BRDF modeling under the assumption of mono-chromaticity (uniform chromaticity and homogeneous material), which alleviates the inherent ill-posedness of color photometric stereo and allows for detailed surface recovery from just one image. Furthermore, we design a compact optical tactile sensor to validate our approach. Experiments on both synthetic and real-world datasets demonstrate that our method achieves accurate and robust surface reconstruction.
