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