The invention provides a dense non-
rigid motion structure algorithm based on a Grassmann manifold. The main content of the
algorithm comprises Grassmann manifold construction, non-
rigid motion structure formulation and three-dimensional reconstruction experiment and analysis. According to the process of the
algorithm, first, Grassmann formulation representation is performed on a track space; second, Grassmann formulation representation is performed on a
shape space; third, spatial-temporal formulation is performed, and bilinear optimization is performed; and last, a three-dimensional reconstruction experiment is performed, and
control variable analysis and runtime analysis are performed. According to the
algorithm, when a non-
rigid motion structure is processed based on the Grassmann manifold, no prior template is needed, non-linear deformation with
noise can be processed, and a final result based on a basic dataset can be provided; and the algorithm has better data
extensibility and higher reconstruction precision, and comprehensive performance is optimal.