Recovering entire shape of a deformable object employing a single measurement matrix

A technique is presented for recovering a deformation process of a deformable object three-dimensionally without camera calibration, in which the entire shape of the object is as well recovered at each observation time irrespective of the front side or the opposite side of the object without the employment of registration. To realize the technique, an elegantly extended measurement matrix is introduced which contains projected locations of the feature points surrounding the object of interest as well as their positional change during observation. The shape/deformation recovery is realized by the unique application of singular value decomposition to the extended measurement matrix. In an experiment, a toy balloon was successfully recovered via its inflation/deflation process three-dimensionally