Recovering Pulse Waves From Video Using Deep Unrolling and Deep Equilibrium Models

Camera-based contactless monitoring of vital signs, also known as imaging photoplethysmography (iPPG), has seen applications in driver-monitoring, perfusion assessment, affective computing, and more. iPPG involves sensing the underlying cardiac pulse from video of the skin and estimating vital signs such as the pulse rate or a full pulse waveform. Some previous iPPG methods impose model-based sparse priors on the pulse signals and use iterative optimization for pulse wave recovery, while others use end-to-end black-box deep learning methods. In contrast, we introduce methods that combine signal processing and deep learning methods in an inverse problem framework. Our methods estimate the underlying pulse signal, pulse rate, and pulse rate variability from facial video by learning deep-network-based denoising operators that leverage deep algorithm unfolding and deep equilibrium models. Experiments show that our methods can denoise an acquired signal from the face and infer the correct underlying pulse rate and pulse rate variability, achieving pulse rate estimation performance consistent with the state-of-the-art on well-known benchmarks, all with less than one-fifth the number of learnable parameters as the closest competing method.