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Invited Talk: David B. Lindell & Julien Martel (Stanford U)
Implicitly defined, continuous, differentiable signal representations parameterized by neural networks have emerged as a powerful paradigm, offering many possible benefits over conventional representations and new capabilities in neural rendering and view synthesis. However, conventional network architectures for such implicit neural representations are incapable of modeling signals at scale with fine detail and fail to represent derivatives and integrals of signals. In this talk, we describe three recent approaches to solve these challenging problems. First, we introduce sinusoidal representation networks or SIREN, which are ideally suited for representing complex natural signals and their derivatives. Using SIREN, we can represent images, wavefields, video, sound, and their derivatives, allowing us to solve differential equations using this type of neural network. Second, we introduce a new framework for solving integral equations using implicit neural representation networks. Our automatic integration framework, AutoInt, enables the calculation of any definite integral with two evaluations of a neural network. This allows fast inference and rendering when applied to neural rendering techniques based on volume rendering. Finally, we introduce a new architecture and method for scaling up implicit representations, called Adaptive Coordinate Networks (ACORN). The approach relies on a hybrid implicit–explicit representation and a learned, online multiscale decomposition of the target signal. We use ACORN to demonstrate the first experiments that fit gigapixel images to nearly 40 dB peak signal-to-noise ratio (an 1000x increase in scale over previous experiments), and we reduce training times for 3D shape fitting from days to hours or minutes while improving memory requirements by over an order of magnitude.
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