Abstract

In recent years, non-rigid structure from motion (NRSFM) has become one of the hottest issues in computer vision due to its wide applications. In practice, the number of available high-quality images may be limited in many cases. Under such a condition, the performances may not be satisfactory when existing NRSFM algorithms are applied directly to estimate the 3D coordinates of a small-size image sequence. In this paper, a sub-sequence-based integrated algorithm is proposed to deal with the NRSFM problem with small sequence sizes. In the proposed method, sub-sequences are first extracted from the original sequence. In order to obtain diversified estimations, multiple weaker estimators are constructed by applying the extracted sub-sequences to a recent NRSFM algorithm with a rotation-invariant kernel (RIK). Compared to other first-order statistics, the trimmed mean is a relatively robust statistic. Considering the fact that the estimations of some weaker estimators may have large errors, the trimmed means of the outputs for all the weaker estimators are computed to determine the final estimated 3D shapes. Compared to some existing methods, the proposed algorithm can achieve a higher estimation accuracy, and has better robustness. Experimental results on several widely used image sequences demonstrate the effectiveness and feasibility of the proposed algorithm.

Highlights

  • Non-rigid structure from motion (NRSFM) is the process of recovering the relative camera motion, and the time-varying 3D coordinates of feature points on a deforming object, by means of the corresponding 2D points in a sequence of images

  • In the NRSFM model, the objects generally undergo a series of shape deformations and pose variations

  • We evaluate the performance of our proposed method on three synthetic-image sequences and three real-image sequences, which are widely used sequences and are publicly available [11, 16]

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Summary

Introduction

Non-rigid structure from motion (NRSFM) is the process of recovering the relative camera motion, and the time-varying 3D coordinates of feature points on a deforming object, by means of the corresponding 2D points in a sequence of images. The recovered 3D shapes can effectively enhance the performances of existing systems in object recognition, face perception, etc. In the NRSFM model, the objects generally undergo a series of shape deformations and pose variations. In the absence of necessary prior knowledge on shape deformation, recovering the 3D shape and motion of nonrigid objects from 2D point tracks remains a difficult and ill-posed problem.

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