Shape sequence deformation model based structured matrix decomposition

A high dimensional shape space is formed by the continuous shape sequence sub space, and the deformation between these shape profiles can be expressed as a linear combination of the low dimensional sub shape space. In order to meet the demand of quantitative description and analysis of shape sequence deformation, Firstly, we proposed a deformation factor of shape sequence based on graphics regularization and structured matrix decomposition. Then, the optimization solution of deformation factor is solved by proximal gradient descent and made decomposition. With good smoothness, sparse and local characteristics, the deformation factor can viewed as the parameters what used to quantify the characterization of shape and deformation in sequence, and it is a good way to depict the dynamic deformation process of shape sequence. Lastly, this method was applied to synthesis shape deformation sequence; the experimental results verify the effectiveness of deformation feature extraction and analysis of shape sequence.