Least Squares Estimation of 3D Shape and Motion of Rigid Objects from Their Orthographic Projections

ÐThe extraction of motion and shape information of three-dimensional objects from their two-dimensional projections is a task that emerges in various applications such as computer vision, biomedical engineering, and video coding and mining especially after the recent guidelines of the Motion Pictures Expert Group regarding MPEG-4 and MPEG-7 standards. Present work establishes a novel approach for extracting the motion and shape parameters of a rigid threedimensional object on the basis of its orthographic projections and the associated motion field. Experimental results have been included to verify the theoretical analysis. Index TermsÐ3D motion, 3D structure, structure from motion, orthography.