text: Learning global features by aggregating information over multiple views has been shown to be effective for 3D shape analysis. For view aggregation in deep learning models, pooling has been applied extensively. However, pooling leads to a loss of the content within views, and the spatial relationship among views, which limits the discriminability of learned features. We propose 3DViewGraph to resolve this issue, which learns 3D global features by more effectively aggregating unordered views with attention. Specifically, unordered views taken around a shape are regarded as view nodes on a view graph. 3DViewGraph first learns a novel latent semantic mapping to project low-level view features into meaningful latent semantic embeddings in a lower dimensional space, which is spanned by latent semantic patterns. Then, the content and spatial information of each pair of view nodes are encoded by a novel spatial pattern correlation, where the correlation is computed among latent semantic patterns. Finally, all spatial pattern correlations are integrated with attention weights learned by a novel attention mechanism. This further increases the discriminability of learned features by highlighting the unordered view nodes with distinctive characteristics and depressing the ones with appearance ambiguity. We show that 3DViewGraph outperforms state-of-the-art methods under three large-scale benchmarks.
  @cite_0: In recent times, multi-view representation of the 3D model has led to extensive research in view-based methods for 3D model retrieval. However, most approaches focus on feature extraction from 2D images while ignoring the spatial information of the 3D model. In order to improve the effectiveness of view-based methods on 3D model retrieval, this paper proposes a novel method for characteristic view extraction and similarity measurement. First, the graph clustering method is used for view grouping and the random-walk algorithm is applied to adaptively update the weight of each view. The spatial information of the 3D object is utilized to construct a view-graph model, thus enabling each characteristic view to represent the discriminative visual feature in terms of specific spatial context. Next, by considering the view set as a graph model, the similarity measurement of two models can be converted into a graph matching problem. This problem is solved by mathematically formulating it as a Rayleigh quotient maximization with affinity constraints for similarity measurement. Extensive comparison experiments were conducted on the popular ETH, NTU, PSB, and MV-RED 3D model datasets. The results demonstrate the superiority of the proposed method.
  @cite_16: Multi-view matching is an important but a challenging task in view-based 3D model retrieval. To address this challenge, we propose an original multi-modal clique graph (MCG) matching method in this paper. We systematically present a method for MCG generation that is composed of cliques, which consist of neighbor nodes in multi-modal feature space and hyper-edges that link pairwise cliques. Moreover, we propose an image set-based clique edgewise similarity measure to address the issue of the set-to-set distance measure, which is the core problem in MCG matching. The proposed MCG provides the following benefits: 1) preserves the local and global attributes of a graph with the designed structure; 2) eliminates redundant and noisy information by strengthening inliers while suppressing outliers; and 3) avoids the difficulty of defining high-order attributes and solving hyper-graph matching. We validate the MCG-based 3D model retrieval using three popular single-modal data sets and one novel multi-modal data set. Extensive experiments show the superiority of the proposed method through comparisons. Moreover, we contribute a novel real-world 3D object data set, the multi-view RGB-D object data set. To the best of our knowledge, it is the largest real-world 3D object data set containing multi-modal and multi-view information.
summary: Moreover, some methods have employed graphs to retrieve 3D shapes from multiple views @cite_0 @cite_16 . Different from these methods, 3DViewGraph employs a more efficient way of view aggregation in deep learning models, which makes the learned features useful for both classification and retrieval.