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Surface-based geodesic topology provides strong cues for object semantic analysis and geometric modeling.
A note on two problems in connexion with graphs
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Y. Lipman, D. Cohen-Or, D. Levin, and H. Tal-Ezer · 2007
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Consolidation of unorganized point clouds for surface reconstruction
H. Huang, D. Li, H. Zhang, U. Ascher, and D. Cohen-Or · 2009
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A concise and provably informative multi-scale signature based on heat diffusion
J. Sun, M. Ovsjanikov, and L. Guibas · 2009
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Improving chen and han’s algorithm on the discrete geodesic problem
S.-Q. Xin and G.-J. Wang · 2009
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The wave kernel signature: A quantum mechanical approach to shape analysis
M. Aubry, U. Schlickewei, and D. Cremers · 2011
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3d shapenets: A deep representation for volumetric shapes
Z. Wu, S. Song, A. Khosla, F. Yu, L. Zhang, X. Tang, and J. Xiao · 2015
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Convolutional neural networks on graphs with fast localized spectral filtering
M. Defferrard, X. Bresson, and P. Vandergheynst · 2016
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A spectral graph wavelet approach for nonrigid 3d shape retrieval
M. Masoumi, C. Li, and A. B. Hamza · 2016
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Learning a probabilistic latent space of object shapes via 3d generative-adversarial modeling
J. Wu, C. Zhang, T. Xue, B. Freeman, and J. Tenenbaum · 2016
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Shape completion using 3d-encoder-predictor cnns and shape synthesis
A. Dai, C. R. Qi, and M. Nießner · 2017
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High-resolution shape completion using deep neural networks for global structure and local geometry inference
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Principal component analysis
I. Jolliffe · 2011
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Geodesics in heat: A new approach to computing distance based on heat flow
K. Crane, C. Weischedel, and M. Wardetzky · 2013
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Screened poisson surface reconstruction
M. Kazhdan and H. Hoppe · 2013
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Adam: A method for stochastic optimization
D. P. Kingma and J. Ba · 2014
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Shapenet: An information-rich 3d model repository
A. X. Chang, T. Funkhouser, L. Guibas, P. Hanrahan, Q. Huang, Z. Li, S. Savarese, M. Savva, S. Song, H. Su, et al · 2015
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Matchnet: Unifying feature and metric learning for patch-based matching
X. Han, T. Leung, Y. Jia, R. Sukthankar, and A. C. Berg · 2015
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X. Han, Z. Li, H. Huang, E. Kalogerakis, and Y. Yu · 2017
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Pointnet: Deep learning on point sets for 3d classification and segmentation
C. R. Qi, H. Su, K. Mo, and L. J. Guibas · 2017
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Pointnet++: Deep hierarchical feature learning on point sets in a metric space
C. R. Qi, L. Yi, H. Su, and L. J. Guibas · 2017
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Syncspeccnn: Synchronized spectral cnn for 3d shape segmentation
L. Yi, H. Su, X. Guo, and L. J. Guibas · 2017
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Pcpnet learning local shape properties from raw point clouds
P. Guerrero, Y. Kleiman, M. Ovsjanikov, and N. J. Mitra · 2018
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Deep learning with geodesic moments for 3d shape classification
L. Luciano and A. B. Hamza · 2018
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Pu-net: Point cloud upsampling network
L. Yu, X. Li, C.-W. Fu, D. Cohen-Or, and P.-A. Heng · 2018
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