This document presents a system that uses a depth camera and projector to interact with physically deformed surfaces like paper. It can track complex deformations in real-time with fine detail while preventing occlusion from hands. This allows users to manipulate physical objects to interact with digital systems. The system contributes an algorithm for capturing complex deformations and detecting hands and fingers. Two evaluation studies show the deformation tracking is highly precise, with average errors below 7mm, and users can complete deformation-based tasks quickly. The system opens opportunities for flexible display interfaces that can be deformed.