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\title[Non-Rigid 3D Shape Correspondences]{Non-Rigid 3D Shape Correspondences:~\\~From Foundations to Open Challenges and Opportunities} 


\author[A.~Zhuravlev \& L.~Bastian et al.]
{\parbox{\textwidth}{\centering\small
    A.~Zhuravlev$^{1 \star}$\orcid{0000-0003-4282-3702} \quad
    L.~Bastian$^{6,7,8\star}$\orcid{0000-0001-8088-3920} \quad
    D.~Cao$^{2,3}$\orcid{0000-0002-6505-6465} \quad
    N.~El Amrani$^{2,3}$\orcid{0009-0004-9961-2855} \quad
    P.~Roetzer$^{2,3}$\orcid{0009-0005-6698-6663} \quad
    V.~Ehm$^{7,8}$\orcid{0009-0009-0142-5442} \quad
    R.~Marin$^{7,8}$ \orcid{0000-0003-2392-4612} \quad
    H.~Nishizawa$^{4}$\orcid{0009-0009-0802-9047} \quad \\ 
    S.~Morishima$^{5}$\orcid{0000-0001-8859-6539} \quad
    C.~Theobalt$^{1}$\orcid{0000-0001-6104-6625} \quad
    N.~Navab$^{7,8}$\orcid{0000-0002-6032-5611} \quad
    D.~Cremers$^{7,8}$\orcid{0000-0002-3079-7984} \quad
    F.~Bernard$^{2,3}$\orcid{0009-0008-1137-0003} \quad
    Z.~Lähner$^{2,3}$\orcid{0000-0003-0599-094X} \quad
    V.~Golyanik$^{1}$\orcid{0000-0003-1630-2006} 
}
\\
\parbox{\textwidth}{\centering\footnotesize
    $^1$MPI for Informatics \quad
    $^2$University of Bonn \quad
    $^3$Lamarr Institute \quad
    $^4$Waseda University \quad
    $^5$Waseda Research Institute for Science and Engineering \quad \\
    $^6$Imperial College London \quad    
    $^7$Technical University of Munich \quad 
    $^8$Munich Center for Machine Learning \quad
    $^\star$Equal Contribution
}
}








\begin{document}






\teaser{
  \centering
  \begin{subfigure}{0.32\linewidth}\centering
    \includegraphics[width=0.85\linewidth]{figures/03/functional_maps_no_text}
  \end{subfigure}\hfill
  \begin{subfigure}{0.32\linewidth}\centering
    \includegraphics[trim={0 2cm 0 10cm}, width=0.6\linewidth]{figures/paul/human_match_curve_matches}
  \end{subfigure}\hfill
  \begin{subfigure}{0.32\linewidth}\centering
    \includegraphics[trim=2cm 0cm 2cm 0.5cm, clip, width=0.85\linewidth]{figures/deformation/teaser_compressed}
  \end{subfigure}
\begin{tabularx}{\textwidth}{>{\centering\arraybackslash}X
                            >{\centering\arraybackslash}X
                            >{\centering\arraybackslash}X}
\textbf{Spectral methods} & \textbf{Combinatorial methods} & \textbf{Deformation-based methods} \\
\end{tabularx}
  \vspace{1.5mm}

  \begin{subfigure}{0.32\linewidth}\centering
    \includegraphics[width=0.85\linewidth]{figures/paul/starteaser.drawio_1600_85}
  \end{subfigure}\hfill
  \begin{subfigure}{0.32\linewidth}\centering
    \adjincludegraphics[trim={{0.28\width} 0 {0.28\width} 0}, clip, width=0.85\linewidth]{figures/nafie/teaser_datasets_compressed}
  \end{subfigure}\hfill
  \begin{subfigure}{0.32\linewidth}\centering
    \includegraphics[width=0.85\linewidth
    ,clip
    ]{figures/partial_teaser_new}
  \end{subfigure}
  \begin{tabularx}{\textwidth}{>{\centering\arraybackslash}X
                            >{\centering\arraybackslash}X
                            >{\centering\arraybackslash}X}
\textbf{Geometric consistency} & \textbf{Datasets} & \textbf{Partial shape matching} \\
\end{tabularx}

  \caption{
    This STAR surveys modern approaches to non-rigid 3D shape correspondence, spanning spectral, combinatorial, and deformation-based methods. We further highlight emerging opportunities, such as zero-shot matching and open challenges involving partiality. 
    Image sources:~\cite{ehm2025beyond,marin2024nicp,cao_revisiting_2024}. 
  }
  \label{fig:teaser}
  \vspace{5mm}
}



\maketitle

\input{sections/00_Abstract}

\input{sections/00_Organizational}

\input{sections/01_Introduction}

\input{sections/02_Fundamentals}

\input{sections/03_Spectral}

\input{sections/04_Combinatorial}

\input{sections/05_Deformation}

\input{sections/06_Emerging}

\input{sections/07_Datasets}

\input{sections/08_Practical_Applications}

\input{sections/09_Conclusion}


\newpage
\bibliographystyle{eg-alpha} 
\bibliography{egbibsample_cleaned}




\end{document}
