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Surface meshes are widely used shape representations and capture finer geometry data than point clouds or volumetric grids, but are challenging to apply CNNs directly due to their non-Euclidean structure.
Backpropagation applied to handwritten zip code recognition
Y. LeCun, B. Boser, J. S. Denker, D. Henderson, R. E. Howard, W. Hubbard, and L. D. Jackel · 1989
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Progressive meshes
Hugues Hoppe · 1996
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Surface simplification using quadric error metrics
Michael Garland and Paul S. Heckbert · 1997
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Connections
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Gradient-based learning applied to document recognition
Y. LeCun, L. Bottou, Y. Bengio, and P. Haffner · 1998
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Quadcover - surface parameterization using branched coverings
Felix Kälberer, Matthias Nieser, and Konrad Polthier · 2007
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Geometry Aware Direction Field Processing
Nicolas Ray, Bruno Vallet, Laurent Alonso, and Bruno Lévy · 2009
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Trivial connections on discrete surfaces
Keenan Crane, Mathieu Desbrun, and Peter Schröder · 2010
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Unique signatures of histograms for local surface description
Federico Tombari, Samuele Salti, and Luigi Di Stefano · 2010
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Blended intrinsic maps
Vladimir Kim, Yaron Lipman, and Thomas Funkhouser · 2011
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Globally optimal direction fields
Felix Knöppel, Keenan Crane, Ulrich Pinkall, and Peter Schröder · 2013
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Federica Bogo, Javier Romero, Matthew Loper, and Michael J. Black · 2014
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Designing n-polyvector fields with complex polynomials
Olga Diamanti, Amir Vaxman, Daniele Panozzo, and Olga Sorkine-Hornung · 2014
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Adam: A method for stochastic optimization
Diederik P. Kingma and Jimmy Ba · 2014
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Non-rigid 3D Shape Retrieval
Z. Lian, J. Zhang, S. Choi, H. ElNaghy, J. El-Sana, T. Furuya, A. Giachetti, R. A. Guler, L. Lai, C. Li, H. Li, F. A. Limberger, R. Martin, R. U. Nakanishi, A. P. Neto, L. G. Nonato, R. Ohbuchi, K. Pevzner, D. Pickup, P. Rosin, A. Sharf, L. Sun, X. Sun, S. Tari, G. Unal, and R. C. Wilson · 2015
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Geodesic convolutional neural networks on riemannian manifolds
J. Masci, D. Boscaini, M. M. Bronstein, and P. Vandergheynst · 2015
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Hang Su, Subhransu Maji, Evangelos Kalogerakis, and Erik G. Learned-Miller · 2015
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Zhirong Wu, Shuran Song, Aditya Khosla, Fisher Yu, Linguang Zhang, Xiaoou Tang, and Jianxiong Xiao · 2015
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Davide Boscaini, Jonathan Masci, Emanuele Rodolà, and Michael Bronstein · 2016
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Charles R Qi, Hao Su, Kaichun Mo, and Leonidas J Guibas · 2017
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Charles R Qi, Li Yi, Hao Su, and Leonidas J Guibas · 2017
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Gernot Riegler, Ali Osman Ulusoy, and Andreas Geiger · 2017
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O-cnn: Octree-based convolutional neural networks for 3D shape analysis
Peng-Shuai Wang, Yang Liu, Yu-Xiao Guo, Chun-Yu Sun, and Xin Tong · 2017
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Directionally convolutional networks for 3D shape segmentation
H. Xu, M. Dong, and Z. Zhong · 2017
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Point convolutional neural networks by extension operators
Matan Atzmon, Haggai Maron, and Yaron Lipman · 2018
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