General Deformations of Point Configurations Viewed By a Pinhole Model Camera
This is a theoretical, incremental study for computer vision researchers working on non-rigid structure from motion.
The paper tackles the problem of reconstructing 3D structure from monocular views of deforming point configurations, showing that at least three images with quasi-identical deformations are needed for a finite solution set in cases like affine and polynomial deformations.
This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points? We treat various variations of this problem for affine and polynomial deformations with calibrated and uncalibrated cameras. We show that in general at least three images with quasi-identical two deformations are needed in order to have a finite set of solutions of the points' structure and calculate some simple examples.