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首页> 外文会议>European Conference on Computer Vision(ECCV 2004) pt.4; 20040511-20040514; Prague; CZ >A Closed-Form Solution to Non-rigid Shape and Motion Recovery
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A Closed-Form Solution to Non-rigid Shape and Motion Recovery

机译：非刚性形状和运动恢复的封闭形式解决方案

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摘要

Recovery of three dimensional (3D) shape and motion of non-static scenes from a monocular video sequence is important for applications like robot navigation and human computer interaction. If every point in the scene randomly moves, it is impossible to recover the non-rigid shapes. In practice, many non-rigid objects, e.g. the human face under various expressions, deform with certain structures. Their shapes can be regarded as a weighted combination of certain shape bases. Shape and motion recovery under such situations has attracted much interest. Previous work on this problem utilized only orthonormality constraints on the camera rotations (rotation constraints). This paper proves that using only the rotation constraints results in ambiguous and invalid solutions. The ambiguity arises from the fact that the shape bases are not unique because their linear transformation is a new set of eligible bases. To eliminate the ambiguity, we propose a set of novel constraints, basis constraints, which uniquely determine the shape bases. We prove that, under the weak-perspective projection model, enforcing both the basis and the rotation constraints leads to a closed-form solution to the problem of non-rigid shape and motion recovery. The accuracy and robustness of our closed-form solution is evaluated quantitatively on synthetic data and qualitatively on real video sequences.
机译：从单眼视频序列中恢复非静态场景的三维（3D）形状和运动对于机器人导航和人机交互等应用而言非常重要。如果场景中的每个点随机移动，则不可能恢复非刚性形状。实际上，许多非刚性物体，例如人脸在各种表情下都会变形，并具有一定的结构。它们的形状可以视为某些形状基础的加权组合。在这种情况下的形状和运动恢复引起了人们的极大兴趣。关于此问题的先前工作仅利用相机旋转的正交约束（旋转约束）。本文证明，仅使用旋转约束会导致模棱两可和无效的解。模棱两可并不是唯一的事实，因为它们的线性变换是一组新的合格基础。为了消除歧义，我们提出了一组新颖的约束条件，基础约束条件，它们唯一地确定了形状基准。我们证明，在弱透视投影模型下，同时增强基础和旋转约束会导致非刚性形状和运动恢复问题的封闭形式解决方案。我们的闭式解决方案的准确性和鲁棒性是根据合成数据进行定量评估，而对真实视频序列进行定性评估。

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