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A neural implicit outputs a number indicating whether the given query point in space is inside, outside, or on a surface.
Deep meta functionals for shape representation
Gidi Littwin and Lior Wolf · 1908
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Estimation of particle transmission by random sampling
H. Kahn and T.E. Harris · 1951
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Multilayer feedforward networks are universal approximators
Kurt Hornik, Maxwell Stinchcombe, and Halbert White · 1989
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Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces
John C Hart · 1996
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Surface simplification using quadric error metrics
Michael Garland and Paul S Heckbert · 1997
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Multi-level partition of unity implicits
Yutaka Ohtake, Alexander Belyaev, Marc Alexa, Greg Turk, and Hans-Peter Seidel · 2005
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Robust inside-outside segmentation using generalized winding numbers
Alec Jacobson, Ladislav Kavan, and Olga Sorkine-Hornung · 2013
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Adam: A method for stochastic optimization
Diederik P Kingma and Jimmy Ba · 2014
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TensorFlow: Large-scale machine learning on heterogeneous systems, 2015
Martin Abadi, Ashish Agarwal, Paul Barham, Eugene Brevdo, Zhifeng Chen, Craig Citro, Greg S. Corrado, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Ian Goodfellow, Andrew Harp, Geoffrey Irving, Michael Isard, Yangqing Jia, Rafal Jozefowicz, Lukasz Kaiser, Manjunath Kudlur, Josh Levenberg, Dan Mané, Rajat Monga, Sherry Moore, Derek Murray, Chris Olah, Mike Schuster, Jonathon Shlens, Benoit Steiner, Ilya Sutskever, Kunal Talwar, Paul Tucker, Vincent Vanhoucke, Vijay Vasudevan, Fernanda Viégas, Oriol Vinyals, Pete Warden, Martin Wattenberg, Martin Wicke, Yuan Yu, and Xiaoqiang Zheng · 2015
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Shapenet: An information-rich 3d model repository
Angel X Chang, Thomas Funkhouser, Leonidas Guibas, Pat Hanrahan, Qixing Huang, Zimo Li, Silvio Savarese, Manolis Savva, Shuran Song, Hao Su, et al · 2015
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Voxnet: A 3d convolutional neural network for real-time object recognition
Daniel Maturana and Sebastian Scherer · 2015
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libigl: A simple c++ geometry processing library, 2016
Alec Jacobson, Daniele Panozzo, C Schüller, Olga Diamanti, Qingnan Zhou, N Pietroni, et al · 2016
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Thingi10k: A dataset of 10,000 3d-printing models
Qingnan Zhou and Alec Jacobson · 2016
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Fast winding numbers for soups and clouds
Gavin Barill, Neil Dickson, Ryan Schmidt, David I.W. Levin, and Alec Jacobson · 2018
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Occupancy networks: Learning 3d reconstruction in function space
Lars Mescheder, Michael Oechsle, Michael Niemeyer, Sebastian Nowozin, and Andreas Geiger · 2019
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Deepsdf: Learning continuous signed distance functions for shape representation
Jeong Joon Park, Peter Florence, Julian Straub, Richard Newcombe, and Steven Lovegrove · 2019
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On the spectral bias of neural networks
Nasim Rahaman, Aristide Baratin, Devansh Arpit, Felix Draxler, Min Lin, Fred Hamprecht, Yoshua Bengio, and Aaron Courville · 2019
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Implicit geometric regularization for learning shapes, 2020
Amos Gropp, Lior Yariv, Niv Haim, Matan Atzmon, and Yaron Lipman · 2020
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Dist: Rendering deep implicit signed distance function with differentiable sphere tracing
Shaohui Liu, Yinda Zhang, Songyou Peng, Boxin Shi, Marc Pollefeys, and Zhaopeng Cui · 2020
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Cutlass: Fast linear algebra in cuda c, Sep 2018
Andrew Kerr, Duane Merrill, Julien Demouth, and John Tran · 2018
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Adaptive O-CNN: A Patch-based Deep Representation of 3D Shapes
Peng-Shuai Wang, Chun-Yu Sun, Yang Liu, and Xin Tong · 2018
Cited alongside, same era.
Learning implicit fields for generative shape modeling
Zhiqin Chen and Hao Zhang · 2019
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Sal: Sign agnostic learning of shapes from raw data
Matan Atzmon and Yaron Lipman
Cited in the paper.
Sal++: Sign agnostic learning with derivatives, 2020b
Matan Atzmon and Yaron Lipman
Cited in the paper.
Metasdf: Meta-learning signed distance functions
Vincent Sitzmann, Eric R. Chan, Richard Tucker, Noah Snavely, and Gordon Wetzstein
Cited in the paper.
Implicit neural representations with periodic activation functions
Vincent Sitzmann, Julien N.P. Martel, Alexander W. Bergman, David B. Lindell, and Gordon Wetzstein
Cited in the paper.
Ben Mildenhall, Pratul P. Srinivasan, Matthew Tancik, Jonathan T. Barron, Ravi Ramamoorthi, and Ren Ng · 2020
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Fourier features let networks learn high frequency functions in low dimensional domains
Matthew Tancik, Pratul P Srinivasan, Ben Mildenhall, Sara Fridovich-Keil, Nithin Raghavan, Utkarsh Singhal, Ravi Ramamoorthi, Jonathan T Barron, and Ren Ng · 2020
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Ladybird: Quasi-monte carlo sampling for deep implicit field based 3d reconstruction with symmetry
Yifan Xu, Tianqi Fan, Yi Yuan, and Gurprit Singh · 2020
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