Computational Mirrors: Blind Inverse Light Transport by Deep Matrix Factorization

Abstract

We recover a video of the motion taking place in a hidden scene by observing changes in indirect illumination in a nearby uncalibrated visible region. We solve this problem by factoring the observed video into a matrix product between the unknown hidden scene video and an unknown light transport matrix. This task is extremely ill-posed, as any non-negative factorization will satisfy the data. Inspired by recent work on the Deep Image Prior, we parameterize the factor matrices using randomly initialized convolutional neural networks trained in a one-off manner, and show that this results in decompositions that reflect the true motion in the hidden scene.

Cite

Text

Aittala et al. "Computational Mirrors: Blind Inverse Light Transport by Deep Matrix Factorization." Neural Information Processing Systems, 2019.

Markdown

[Aittala et al. "Computational Mirrors: Blind Inverse Light Transport by Deep Matrix Factorization." Neural Information Processing Systems, 2019.](https://mlanthology.org/neurips/2019/aittala2019neurips-computational/)

BibTeX

@inproceedings{aittala2019neurips-computational,
  title     = {{Computational Mirrors: Blind Inverse Light Transport by Deep Matrix Factorization}},
  author    = {Aittala, Miika and Sharma, Prafull and Murmann, Lukas and Yedidia, Adam and Wornell, Gregory and Freeman, Bill and Durand, Fredo},
  booktitle = {Neural Information Processing Systems},
  year      = {2019},
  pages     = {14311-14321},
  url       = {https://mlanthology.org/neurips/2019/aittala2019neurips-computational/}
}