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Nonrigid motion and Regge calculus

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Abstract

We study the problem of recovering the structure from the motion of figures that are permitted to perform a controlled nonrigid motion. We use Regge calculus to approximate a general surface by a net of triangles. The nonrigid flexing motion that we examine corresponds to the triangles remaining rigid and to bending occurring only at the joints between the triangles. We show that depth information of the vertices of the triangles can be obtained by using a modified version of the incremental rigidity scheme. In cases in which the motion of the figure displays fundamentally different views at each frame presentation, the algorithm works well, not only for strictly rigid motion but also for a limited amount of bending deformation. We modify this scheme to allow for flexing motion,

© 1989 Optical Society of America

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