The Motion Analysis of Nonrigid Membranes

摘要

In this paper we discuss the problem of determining the shape and motion of a nonrigid 2-dimensional membrane, and specific information about the physics of the membrane, from a sequence of monocular perspective images of the membrane in motion, initial and terminal depth information, and generic information about the physics of the membrane. We model a nonrigid 2-dimensional membrane by a surface without thickness, and the motion of a membrane by a second-order partial differential equation (PDE). We fit a family of surfaces to the image data and use initial and terminal depth information—together with the PDE—to determine both the position of the membrane at intermediate times and the constants that characterize membrane physics. The techniques presented have been applied to real membranes, and implementation results are presented.