Efficient Hodge-Helmholtz decomposition of motion fields

Motion analysis is an active but challenging research area. In this paper, we propose a simplified implementation of the recently developed discrete Hodge-Helmholtz field decomposition (DHHFD) using the finite element method. The DHHFD can decompose an arbitrary flow field into three components: a curl-free component, a divergence-free component, and a harmonic remainder. Experimental results show that the proposed implementation provides an excellent motion field decomposition performance.