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Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine
Han Z.2; Liu Z.2; Han J.2; Vong C.-M.3; Bu S.2; Li X.1
Source PublicationIEEE Transactions on Image Processing

Extracting local features from 3D shapes is an important and challenging task that usually requires carefully designed 3D shape descriptors. However, these descriptors are hand-crafted and require intensive human intervention with prior knowledge. To tackle this issue, we propose a novel deep learning model, namely circle convolutional restricted Boltzmann machine (CCRBM), for unsupervised 3D local feature learning. CCRBM is specially designed to learn from raw 3D representations. It effectively overcomes obstacles such as irregular vertex topology, orientation ambiguity on the 3D surface, and rigid or slightly non-rigid transformation invariance in the hierarchical learning of 3D data that cannot be resolved by the existing deep learning models. Specifically, by introducing the novel circle convolution, CCRBM holds a novel ring-like multi-layer structure to learn 3D local features in a structure preserving manner. Circle convolution convolves across 3D local regions via rotating a novel circular sector convolution window in a consistent circular direction. In the process of circle convolution, extra points are sampled in each 3D local region and projected onto the tangent plane of the center of the region. In this way, the projection distances in each sector window are employed to constitute a novel local raw 3D representation called projection distance distribution (PDD). In addition, to eliminate the initial location ambiguity of a sector window, the Fourier transform modulus is used to transform the PDD into the Fourier domain, which is then conveyed to CCRBM. Experiments using the learned local features are conducted on three aspects: global shape retrieval, partial shape retrieval, and shape correspondence. The experimental results show that the learned local features outperform other state-of-the-art 3D shape descriptors.

Keyword3d Shapes Circle Convolutional Restricted Boltzmann Machine Deep Learning Fourier Transform Modulus Geometry Processing Projection Distance Distribution
URLView the original
Indexed BySCI
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000385380500001
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Cited Times [WOS]:16   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Affiliation1.Xi'an Institute of Optics and Precision Mechanics Chinese Academy of Sciences
2.Northwestern Polytechnical University
3.Universidade de Macau
Recommended Citation
GB/T 7714
Han Z.,Liu Z.,Han J.,et al. Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine[J]. IEEE Transactions on Image Processing,2016,25(11):5331-5344.
APA Han Z.,Liu Z.,Han J.,Vong C.-M.,Bu S.,&Li X..(2016).Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine.IEEE Transactions on Image Processing,25(11),5331-5344.
MLA Han Z.,et al."Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine".IEEE Transactions on Image Processing 25.11(2016):5331-5344.
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