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\title[Establishing Shape Correspondences]%
      {Establishing Shape Correspondences: A Survey}

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% instead of the author's name (and leave the affiliation blank) !!
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%\author[D. Fellner \& S. Behnke]
\author[star1008]{star1008}
% {\parbox{\textwidth}{\centering D.\,W. Fellner\thanks{Chairman Eurographics Publications Board}$^{1,2}$\orcid{0000-0001-7756-0901}
%         and S. Behnke$^{2}$\orcid{0000-0001-5923-423X} 
% %        S. Spencer$^2$\thanks{Chairman Siggraph Publications Board}
%         }
%         \\
% % For Computer Graphics Forum: Please use the abbreviation of your first name.
% {\parbox{\textwidth}{\centering $^1$TU Darmstadt \& Fraunhofer IGD, Germany\\
%          $^2$Graz University of Technology, Institute of Computer Graphics and Knowledge Visualization, Austria
% %        $^2$ Another Department to illustrate the use in papers from authors
% %             with different affiliations
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%}
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\begin{document}

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\begin{abstract}
   Shape correspondence between surfaces in \del{\(\reals^3\)}\add{3D} is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy, while the type of input data and computational constraints influence the choice of method. In this survey, we provide an overview of different correspondence problems, popular paradigms for generating and refining correspondences, and strategies for evaluating their quality. Further, we discuss topological aspects that are especially important for correspondences between surfaces with higher genus. By offering a structured overview and highlighting open challenges, we aim to support and guide future research in the field.
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\begin{CCSXML}
<ccs2012>
<concept>
<concept_id>10010147.10010371.10010396.10010402</concept_id>
<concept_desc>Computing methodologies~Shape analysis</concept_desc>
<concept_significance>300</concept_significance>
</concept>
</ccs2012>
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\ccsdesc[300]{Computing methodologies~Shape analysis}
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\end{abstract}  
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\input{src/01-Introduction.tex}
\input{src/02-Background.tex}
\input{src/03-Extrinsic}
\input{src/04-Combinatorial}
\input{src/05-Distortionbased}
%\input{src/06.1-Intrinsic}
\input{src/06-SpectralShapeAnalysis}
\input{src/07-Others}
%\input{src/05.1-Other}
\input{src/08-Topology}
\input{src/09-Evaluation}
\input{src/10-Datasets}
\input{src/11-Outlook}
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\end{document}
