implemented-papers.tex 1.8 KB

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  1. \documentclass[12pt]{diary}
  2. \immediate\write18{bibtex \jobname}
  3. \title{Papers implemented in \textsc{libigl}}
  4. \author{Alec Jacobson}
  5. \date{last revised 22 April 2014}
  6. \begin{document}
  7. This document serves as a companion reference to better list the references to
  8. scientific articles implemented within \textsc{libigl}. It will no doubt be
  9. incomplete.
  10. \paragraph{\texttt{cotmatrix}, \texttt{massmatrix}}
  11. build discrete operators on triangle and tetrahedral meshes.
  12. \cite{Pinkall:1993:CDM,meyer03ddo,Jacobson:THESIS:2013}. For tet meshes, we no
  13. longer use the ``by the book'' FEM construction \`a la \cite{Sharf:2007vv},
  14. rather a purely geometric approach \cite{Barth:1994,Xu:1999}.
  15. \paragraph{\texttt{harmonic}} solves a Laplace problem (equivalently
  16. minimizes the Dirichlet energy) with some simple boundary conditions
  17. \cite{HarmonicCoodinates07}. There's also an option to solve
  18. ``higher order Laplace problems'' (bi-Laplace, tri-Laplace, etc.)
  19. \cite{Botsch:2004:AIF,sorkine04lsm,Jacobson:MixedFEM:2010}.
  20. \paragraph{\texttt{bbw/}} implements ``bounded biharmonic
  21. weights'' \cite{Jacobson:BBW:2011}.
  22. \paragraph{\texttt{svd3x3/arap}} is a generalized implementation
  23. for solving ``as-rigid-as-possible'' (ARAP) mesh deformation or parameterization
  24. problems \cite{ARAP_modeling:2007,Liu:2008:ALA,Chao:2010:ASG}.
  25. \paragraph{\texttt{svd3x3/arap\_dof}} implements ``FAST'',
  26. which is simultaneously a reduced form of ARAP and a method for automatically
  27. choosing skinning transformations \cite{Jacobson:FAST:2012}.
  28. \paragraph{\texttt{dqs}} implements ``Dual quaternion skinning''
  29. \cite{Kavan:2008:GSW}.
  30. \paragraph{\texttt{lbs}} implements ``linear blend skinning'', also known as
  31. ``skeletal subspace deformation'', or ``enveloping''. This technique is often
  32. attributed to \cite{Magnenat-Thalmann:1988:JLD}.
  33. \bibliographystyle{acmsiggraph}
  34. \bibliography{references}
  35. \end{document}
  36. __END__