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arXiv · 1707.05009

"Maximizing rigidity" revisited: a convex programming approach for generic 3D shape reconstruction from multiple perspective views

Pan Ji·Hongdong Li·Yuchao Dai·Ian Reid
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Abstract

Rigid structure-from-motion (RSfM) and non-rigid structure-from-motion (NRSfM) have long been treated in the literature as separate (different) problems. Inspired by a previous work which solved directly for 3D scene structure by factoring the relative camera poses out, we revisit the principle of "maximizing rigidity" in structure-from-motion literature, and develop a unified theory which is applicable to both rigid and non-rigid structure reconstruction in a rigidity-agnostic way. We formulate these problems as a convex semi-definite program, imposing constraints that seek to apply the principle of minimizing non-rigidity. Our results demonstrate the efficacy of the approach, with state-of-the-art accuracy on various 3D reconstruction problems.

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Pan Ji, Hongdong Li, Yuchao Dai, Ian Reid. 2017-07-17. "Maximizing rigidity" revisited: a convex programming approach for generic 3D shape reconstruction from multiple perspective views. https://arxiv.org/abs/1707.05009

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