3D hand reconstruction from a single image based on biomechanical constraints

This paper investigates the estimate of motion parameters from 3D hand joint positions. We formulate the issue as an inverse kinematics problem with biomechanical constraints and propose a fast and robust iterative approach to address the constrained optimization. It elaborately designs a coordinate descent algorithm to decompose the problem into a sequence of decisions on the transformation around each kinematic node (i.e., joint), while the decision for each node is equivalent to a point matching problem. Addressing the whole optimization then amounts to considering all nodes of the kinematic tree from its root to leaves one by one. This not only accelerates the process but also improves the accuracy of the solution of the inverse kinematic optimization. Experiments show that our approach is able to yield results comparable to and even better than those by the state-of-the-art methods.