The paper presents an intriguing phenomenon – the successful reconstruction of images using a set of one-way wave equations with hidden and learnable speeds. Each image corresponds to a unique solution, which can be computed from the original image using a visual encoder. The solution for each image exhibits two noteworthy mathematical properties. The authors term this phenomenon ‘hidden waves’, as it reveals that the speeds of the set of wave equations are latent, but are both learnable and shared across images. This provides a new mathematical perspective to understand images.

 

Publication date: 19 Oct 2023
Project Page: arXiv:2310.12976v1 [cs.CV] Paper: https://arxiv.org/pdf/2310.12976

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