  Deformable objects manipulation can benefit from representations that
seamlessly integrate vision and touch while handling occlusions. In this work,
we present a novel approach for, and real-world demonstration of, multimodal
visuo-tactile state-estimation and dynamics prediction for deformable objects.
Our approach, VIRDO++, builds on recent progress in multimodal neural implicit
representations for deformable object state-estimation [1] via a new
formulation for deformation dynamics and a complementary state-estimation
algorithm that (i) maintains a belief over deformations, and (ii) enables
practical real-world application by removing the need for privileged contact
information. In the context of two real-world robotic tasks, we show:(i)
high-fidelity cross-modal state-estimation and prediction of deformable objects
from partial visuo-tactile feedback, and (ii) generalization to unseen objects
and contact formations.
