Fetching the paper…
Reading the bibliography…
Implicit representations of geometry, such as occupancy fields or signed distance fields (SDF), have recently re-gained popularity in encoding 3D solid shape in a functional form.
A transformation for extracting new descriptors of shape
Harry Blum et al · 1967
Earlier work this paper cites.
A generalization of algebraic surface drawing
James F Blinn. 1982 · 1982
Earlier work this paper cites.
Spectrally optimal sampling for distribution ray tracing
Don P Mitchell. 1991 · 1991
Earlier work this paper cites.
Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces
John C Hart. 1996 · 1996
Earlier work this paper cites.
Introduction to implicit surfaces
Jules Bloomenthal, Chandrajit Bajaj, Jim Blinn, Brian Wyvill, Marie-Paule Cani, Alyn Rockwood, and Geoff Wyvill. 1997 · 1997
Earlier work this paper cites.
Real-time collision detection
Christer Ericson. 2004 · 2004
Earlier work this paper cites.
Ambient occlusion
Matt Pharr and Simon Green. 2004 · 2004
Earlier work this paper cites.
Screen space ambient occlusion
Louis Bavoil and Miguel Sainz. 2008 · 2008
Earlier work this paper cites.
Medial representations: mathematics, algorithms and applications
Kaleem Siddiqi and Stephen Pizer. 2008 · 2008
Earlier work this paper cites.
Sphere-meshes: Shape approximation using spherical quadric error metrics
Jean-Marc Thiery, Émilie Guy, and Tamy Boubekeur. 2013 · 2013
Earlier work this paper cites.
Enhanced sphere tracing
Benjamin Korndörfer, Johann Keinert Henry Schäfer, Urs Ganse, and Marc Stamminger. 2014 · 2014
Earlier work this paper cites.
Unified particle physics for real-time applications
Miles Macklin, Matthias Müller, Nuttapong Chentanez, and Tae-Yong Kim. 2014 · 2014
Earlier work this paper cites.
Adam: A Method for Stochastic Optimisation
Diederik P. Kingma and Jimmy Ba. 2015 · 2015
Earlier work this paper cites.
3D Skeletons: A State-of-the-Art Report
Andrea Tagliasacchi, Thomas Delame, Michela Spagnuolo, Nina Amenta, and Alexandru Telea. 2016 · 2016
Earlier work this paper cites.
Animated mesh approximation with sphere-meshes
Jean-Marc Thiery, Émilie Guy, Tamy Boubekeur, and Elmar Eisemann. 2016 · 2016
Earlier work this paper cites.
Sphere-Meshes for Real-Time Hand Modeling and Tracking
Anastasia Tkach, Mark Pauly, and Andrea Tagliasacchi. 2016 · 2016
Earlier work this paper cites.
Spectrally-normalized margin bounds for neural networks
Peter L Bartlett, Dylan J Foster, and Matus J Telgarsky. 2017 · 2017
Earlier work this paper cites.
Accelerating Sphere Tracing
Csaba Bálint and Gábor Valasek. 2018 · 2018
Cited alongside, same era.
JAX: composable transformations of Python+NumPy programs
James Bradbury, Roy Frostig, Peter Hawkins, Matthew James Johnson, Chris Leary, Dougal Maclaurin, George Necula, Adam Paszke, Jake VanderPlas, Skye Wanderman-Milne, and Qiao Zhang. 2018 · 2018
Cited alongside, same era.
VIPER: Volume Invariant Position-based Elastic Rods
Baptiste Angles, Daniel Rebain, Miles Macklin, Brian Wyvill, Loic Barthe, John Lewis, Javier von der Pahlen, Shahram Izadi, Julien Valentin, Sofien Bouaziz, and Andrea Tagliasacchi. 2019 · 2019
Cited alongside, same era.
Learning implicit fields for generative shape modeling
Zhiqin Chen and Hao Zhang. 2019 · 2019
Cited alongside, same era.
Learning shape templates with structured implicit functions
Kyle Genova, Forrester Cole, Daniel Vlasic, Aaron Sarna, William T Freeman, and Thomas Funkhouser. 2019 · 2019
Cited alongside, same era.
MAT-Net: Medial Axis Transform Network for 3D Object Recognition
Neural Unsigned Distance Fields for Implicit Function Learning
Julian Chibane, Aymen Mir, and Gerard Pons-Moll. 2020 · 2020
Later among the works it cites.
Implicit geometric regularization for learning shapes
Amos Gropp, Lior Yariv, Niv Haim, Matan Atzmon, and Yaron Lipman. 2020 · 2020
Later among the works it cites.
Local implicit grid representations for 3d scenes
Chiyu Jiang, Avneesh Sud, Ameesh Makadia, Jingwei Huang, Matthias Nießner, and Thomas Funkhouser. 2020 · 2020
Later among the works it cites.
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 · 2020
Later among the works it cites.
Baorui Ma, Zhizhong Han, Yu-Shen Liu, and Matthias Zwicker. 2020 · 2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Jianwei Hu, Bin Wang, Lihui Qian, Yiling Pan, Xiaohu Guo, Lingjie Liu, and Wenping Wang. 2019 · 2019
Cited alongside, same era.
Occupancy Networks: Learning 3D Reconstruction in Function Space
Lars Mescheder, Michael Oechsle, Michael Niemeyer, Sebastian Nowozin, and Andreas Geiger. 2019 · 2019
Cited alongside, same era.
Implicit surface representations as layers in neural networks
Mateusz Michalkiewicz, Jhony K Pontes, Dominic Jack, Mahsa Baktashmotlagh, and Anders Eriksson. 2019 · 2019
Cited alongside, same era.
Texture fields: Learning texture representations in function space
Michael Oechsle, Lars Mescheder, Michael Niemeyer, Thilo Strauss, and Andreas Geiger. 2019 · 2019
Cited alongside, same era.
DeepSDF: Learning Continuous Signed Distance Functions for Shape Representation
Jeong Joon Park, Peter Florence, Julian Straub, Richard Newcombe, and Steven Lovegrove. 2019 · 2019
Cited alongside, same era.
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 · 2019
Cited alongside, same era.
LSMAT: least squares medial axis transform
Daniel Rebain, Baptiste Angles, Julien Valentin, Nicholas Vining, Jiju Peethambaran, Shahram Izadi, and Andrea Tagliasacchi. 2019 · 2019
Cited alongside, same era.
Local Optimization for Robust Signed Distance Field Collision
Miles Macklin, Kenny Erleben, Matthias Müller, Nuttapong Chentanez, Stefan Jeschke, and Zach Corse. 2020 · 2020
Later among the works it cites.
NeRF: Representing Scenes as Neural Radiance Fields for View Synthesis
Ben Mildenhall, Pratul P Srinivasan, Matthew Tancik, Jonathan T Barron, Ravi Ramamoorthi, and Ren Ng. 2020 · 2020
Later among the works it cites.
Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervision
Michael Niemeyer, Lars Mescheder, Michael Oechsle, and Andreas Geiger. 2020 · 2020
Later among the works it cites.
Convolutional occupancy networks
Songyou Peng, Michael Niemeyer, Lars Mescheder, Marc Pollefeys, and Andreas Geiger. 2020 · 2020
Later among the works it cites.
Metasdf: Meta-learning signed distance functions
Vincent Sitzmann, Eric R Chan, Richard Tucker, Noah Snavely, and Gordon Wetzstein. 2020a · 2020
Later among the works it cites.
Implicit Neural Representations with Periodic Activation Functions
Vincent Sitzmann, Julien N.P. Martel, Alexander W. Bergman, David B. Lindell, and Gordon Wetzstein. 2020b · 2020
Later among the works it cites.
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 · 2020
Later among the works it cites.
Multiview neural surface reconstruction by disentangling geometry and appearance
Lior Yariv, Yoni Kasten, Dror Moran, Meirav Galun, Matan Atzmon, Basri Ronen, and Yaron Lipman. 2020 · 2020
Later among the works it cites.
UNISURF: Unifying Neural Implicit Surfaces and Radiance Fields for Multi-View Reconstruction
Michael Oechsle, Songyou Peng, and Andreas Geiger. 2021 · 2021
Closest in time.
DeRF: Decomposed Radiance Fields
Daniel Rebain, Wei Jiang, Soroosh Yazdani, Ke Li, Kwang Moo Yi, and Andrea Tagliasacchi. 2021 · 2021
Closest in time.
Neural geometric level of detail: Real-time rendering with implicit 3D shapes
Towaki Takikawa, Joey Litalien, Kangxue Yin, Karsten Kreis, Charles Loop, Derek Nowrouzezahrai, Alec Jacobson, Morgan McGuire, and Sanja Fidler. 2021 · 2021
Closest in time.