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arXiv 1012.3216cs.CV
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TILT:变换不变的低秩纹理

TILT: Transform Invariant Low-rank Textures

Tsinghua University(清华大学);University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校);Microsoft Research Asia(微软亚洲研究院)

Zhengdong Zhang, Arvind Ganesh, Xiao Liang, Yi Ma

摘要:

在本文中,我们展示了如何有效地提取一类“低秩纹理”的3D场景中的2D图像,尽管显着的腐败和翘曲。低秩纹理捕捉图像中具有几何意义的结构,包括传统的局部特征,如边缘和角落,以及城市环境和人造物体中普遍存在的各种规则,对称图案。我们找到这些低秩纹理的方法利用了最近在凸优化方面的突破,尽管存在严重的稀疏误差,但该方法仍然能够稳健地恢复高维低秩矩阵。在具有显著仿射或投影变形的平面区域的情况下,我们的方法可以准确地恢复固有的低秩纹理和精确的域变换,从而恢复平面区域的3D几何形状和外观。大量的实验结果表明,这种新技术有效地适用于许多规则和接近规则的模式或对象,近似低秩,如对称图案,建筑物外墙,印刷文本和人脸。

英文摘要:

In this paper, we show how to efficiently and effectively extract a class of "low-rank textures" in a 3D scene from 2D images despite significant corruptions and warping. The low-rank textures capture geometrically meaningful structures in an image, which encompass conventional local features such as edges and corners as well as all kinds of regular, symmetric patterns ubiquitous in urban environments and man-made objects. Our approach to finding these low-rank textures leverages the recent breakthroughs in convex optimization that enable robust recovery of a high-dimensional low-rank matrix despite gross sparse errors. In the case of planar regions with significant affine or projective deformation, our method can accurately recover both the intrinsic low-rank texture and the precise domain transformation, and hence the 3D geometry and appearance of the planar regions. Extensive experimental results demonstrate that this new technique works effectively for many regular and near-regular patterns or objects that are approximately low-rank, such as symmetrical patterns, building facades, printed texts, and human faces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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