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This paper is a theoretical study of the following Non-Rigid Structure fromMotion problem. What can be computed from a monocular view of a parametricallydeforming set of points? We treat various variations of this problem for affineand polynomial deformations with calibrated and uncalibrated cameras. We showthat in general at least three images with quasi-identical two deformations areneeded in order to have a finite set of solutions of the points' structure andcalculate some simple examples.

General Deformations of Point Configurations Viewed By a Pinhole Model Camera