A Cubic Barrier with Elasticity-Inclusive Dynamic Stiffness

docs/requirements.txt

@@ -1,13 +1,17 @@
 sphinx
 sphinx-sitemap
-sphinx-immaterial==0.11.14
+sphinx-immaterial
 autoclasstoc
 # sphinx-autodoc-toolbox
 breathe
 nbsphinx
 pandoc
-myst_parser==1.0.0
+myst_parser
 sphinxcontrib-bibtex
 sphinxemoji
 sphinx-last-updated-by-git
-sphinx-autobuild
+sphinx-autobuild
+nbconvert==5.6.1
+ipython_genutils
+jinja2==3.0.3
+setuptools

docs/source/Doxyfile

@@ -806,7 +806,7 @@ LAYOUT_FILE            =
 # LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
 # search path. See also \cite for info how to create references.
 
-CITE_BIB_FILES         =
+CITE_BIB_FILES         = references.bib
 
 #---------------------------------------------------------------------------
 # Configuration options related to warning and progress messages
@@ -2054,7 +2054,7 @@ LATEX_HIDE_INDICES     = NO
 # The default value is: plain.
 # This tag requires that the tag GENERATE_LATEX is set to YES.
 
-LATEX_BIB_STYLE        = plain
+LATEX_BIB_STYLE        = plainnat
 
 # If the LATEX_TIMESTAMP tag is set to YES then the footer of each generated
 # page will contain the date and time when the page was generated. Setting this

docs/source/conf.py

@@ -64,7 +64,7 @@
     "sphinx_last_updated_by_git",
 ]
 
-bibtex_bibfiles = ['refs.bib']
+bibtex_bibfiles = ['references.bib']
 bibtex_reference_style = 'author_year'
 bibtex_default_style = 'plain'
 

docs/source/cpp-api/barrier.rst

@@ -17,6 +17,11 @@ Adaptive Barrier Stiffness
 .. doxygenfunction:: ipc::initial_barrier_stiffness
 .. doxygenfunction:: ipc::update_barrier_stiffness
 
+Semi-Implicit Stiffness
+~~~~~~~~~~~~~~~~~~~~~~~
+
+.. doxygenfunction:: ipc::semi_implicit_stiffness(const CollisionMesh&, const Eigen::MatrixXd&, const StencilsT&, const Eigen::VectorXd&, const Eigen::SparseMatrix<double>&, const double)
+
 Barrier Class
 -------------
 
@@ -33,4 +38,16 @@ Normalized Clamped Log Barrier
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
 .. doxygenclass:: ipc::NormalizedClampedLogBarrier
+    :allow-dot-graphs:
+
+Clamped Log Squared Barrier
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+.. doxygenclass:: ipc::ClampedLogSqBarrier
+    :allow-dot-graphs:
+
+Cubic Barrier
+~~~~~~~~~~~~~
+
+.. doxygenclass:: ipc::CubicBarrier
     :allow-dot-graphs:

docs/source/python-api/barrier.rst

@@ -17,6 +17,12 @@ Adaptive Barrier Stiffness
 .. autofunction:: ipctk.initial_barrier_stiffness
 .. autofunction:: ipctk.update_barrier_stiffness
 
+
+Semi-Implicit Stiffness
+~~~~~~~~~~~~~~~~~~~~~~~
+
+.. autofunction:: ipctk.semi_implicit_stiffness
+
 Barrier Class
 -------------
 
@@ -25,4 +31,19 @@ Barrier Class
 Clamped Log Barrier
 ~~~~~~~~~~~~~~~~~~~
 
-.. autoclass:: ipctk.ClampedLogBarrier
+.. autoclass:: ipctk.ClampedLogBarrier
+
+Normalized Clamped Log Barrier
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+.. autoclass:: ipctk.NormalizedClampedLogBarrier
+
+Clamped Log Squared Barrier
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+.. autoclass:: ipctk.ClampedLogSqBarrier
+
+Cubic Barrier
+~~~~~~~~~~~~~
+
+.. autoclass:: ipctk.CubicBarrier

docs/source/references.bib

@@ -0,0 +1,110 @@
+@article{Li2020IPC,
+  title     = {Incremental Potential Contact: Intersection- and Inversion-free Large Deformation Dynamics},
+  author    = {Minchen Li and Zachary Ferguson and Teseo Schneider and Timothy Langlois and Denis Zorin and Daniele Panozzo and Chenfanfu Jiang and Danny M. Kaufman},
+  year      = 2020,
+  journal   = {{ACM} Transactions on Graphics ({SIGGRAPH})},
+  volume    = 39,
+  number    = 4,
+  note      = {\url{https://ipc-sim.github.io}},
+  articleno = 49
+}
+@article{Li2021CIPC,
+  title     = {Codimensional Incremental Potential Contact},
+  author    = {Minchen Li and Danny M. Kaufman and Chenfanfu Jiang},
+  year      = 2021,
+  journal   = {{ACM} Transactions on Graphics ({SIGGRAPH})},
+  volume    = 40,
+  number    = 4,
+  note      = {\url{https://ipc-sim.github.io/C-IPC}},
+  articleno = 170
+}
+@misc{Li2023Convergent,
+  title         = {Convergent Incremental Potential Contact},
+  author        = {Minchen Li and Zachary Ferguson and Teseo Schneider and Timothy Langlois and Denis Zorin and Daniele Panozzo and Chenfanfu Jiang and Danny M. Kaufman},
+  year          = 2023,
+  eprint        = {2307.15908},
+  archiveprefix = {arXiv},
+  primaryclass  = {math.NA}
+}
+@article{Wang2021TightInclusion,
+  title     = {A Large Scale Benchmark and an Inclusion-Based Algorithm for Continuous Collision Detection},
+  author    = {Bolun Wang and Zachary Ferguson and Teseo Schneider and Xin Jiang and Marco Attene and Daniele Panozzo},
+  year      = 2021,
+  month     = oct,
+  journal   = {{ACM} Transactions on Graphics},
+  volume    = 40,
+  number    = 5,
+  note      = {\url{https://continuous-collision-detection.github.io/tight_inclusion/}},
+  articleno = 188,
+  numpages  = 16
+}
+@misc{Belgrod2023Time,
+  title         = {Time of Impact Dataset for Continuous Collision Detection and a Scalable Conservative Algorithm},
+  author        = {David Belgrod and Bolun Wang and Zachary Ferguson and Xin Zhao and Marco Attene and Daniele Panozzo and Teseo Schneider},
+  year          = 2023,
+  eprint        = {2112.06300},
+  archiveprefix = {arXiv},
+  primaryclass  = {cs.GR}
+}
+@inproceedings{Ferguson2023HighOrderIPC,
+  title     = {High-Order Incremental Potential Contact for Elastodynamic Simulation on Curved Meshes},
+  author    = {Zachary Ferguson and Pranav Jain and Denis Zorin and Teseo Schneider and Daniele Panozzo},
+  year      = 2023,
+  booktitle = {{ACM} {SIGGRAPH} 2023 Conference Proceedings},
+  location  = {Los Angeles, CA, USA},
+  publisher = {Association for Computing Machinery},
+  address   = {New York, NY, USA},
+  series    = {SIGGRAPH '23},
+  note      = {\url{https://zferg.us/research/high-order-ipc/}},
+  numpages  = 11
+}
+@article{Ferguson2021RigidIPC,
+  title     = {Intersection-free Rigid Body Dynamics},
+  author    = {Zachary Ferguson and Minchen Li and Teseo Schneider and Francisca Gil-Ureta and Timothy Langlois and Chenfanfu Jiang and Denis Zorin and Danny M. Kaufman and Daniele Panozzo},
+  year      = 2021,
+  journal   = {{ACM} Transactions on Graphics ({SIGGRAPH})},
+  volume    = 40,
+  number    = 4,
+  note      = {\url{https://ipc-sim.github.io/rigid-ipc}},
+  articleno = 183
+}
+@inproceedings{Chen2024Stabler,
+  title     = {Stabler Neo-Hookean Simulation: Absolute Eigenvalue Filtering for Projected Newton},
+  author    = {Honglin Chen and Hsueh-Ti Derek Liu and David I.W. Levin and Changxi Zheng and Alec Jacobson},
+  year      = 2024,
+  booktitle = {{ACM} {SIGGRAPH} 2024 Conference Proceedings},
+  note      = {\url{https://www.cs.columbia.edu/cg/abs-psd/}}
+}
+@article{Fang2023AugmentedStickyInteractions,
+  title    = {Augmented Incremental Potential Contact for Sticky Interactions},
+  author   = {Fang, Yu and Li, Minchen and Cao, Yadi and Li, Xuan and Wolper, Joshuah and Yang, Yin and Jiang, Chenfanfu},
+  year     = 2024,
+  journal  = {IEEE Transactions on Visualization and Computer Graphics},
+  volume   = 30,
+  number   = 8,
+  pages    = {5596--5608},
+  doi      = {10.1109/TVCG.2023.3295656},
+  keywords = {Adhesives;Friction;Computational modeling;Deformation;Solids;Force;Deformable models;Physically based animation;optimization time integration}
+}
+@article{Ando2024Cubic,
+  title   = {A Cubic Barrier with Elasticity-Inclusive Dynamic Stiffness},
+  author  = {Ando, Ryoichi},
+  year    = 2024,
+  month   = dec,
+  journal = {{ACM} Transactions on Graphics ({SIGGRAPH} Asia)},
+  volume  = 43,
+  number  = 6,
+  pages   = {1--13},
+  note    = {\url{https://github.com/st-tech/ppf-contact-solver}}
+}
+@article{Huang2024GIPC,
+  title   = {{GIPC}: Fast and Stable Gauss-Newton Optimization of IPC Barrier Energy},
+  author  = {Huang, Kemeng and Chitalu, Floyd M. and Lin, Huancheng and Komura, Taku},
+  year    = 2024,
+  month   = apr,
+  journal = {ACM Transactions on Graphics},
+  volume  = 43,
+  number  = 2,
+  pages   = {1--18},
+  note    = {\url{https://dl.acm.org/doi/10.1145/3643028}}
+}