@inproceedings{DBH2018,
 pages         = {73--79},
 booktitle     = {Proceedings of the OAGM Workshop 2018},
 author        = {Dachsel, Robert and Breuß, Michael and Hoeltgen, Laurent},
 title         = {A Study of Spectral Expansion for Shape Correspondence},
 publisher     = {Verlag der Technischen Universität Graz},
 doi           = {10.3217/978-3-85125-603-1-15},
 keywords      = {reviewed},
 year          = {2018},
 date          = {2018},
 abstract      = {The main task in three dimensional non-rigid
shape correspondence is to retrieve similarities between two or
more similar three dimensional objects. A useful way to tackle
this problem is to construct a simplified shape representation,
called feature descriptor, which is invariant under deformable
transformations. A successful class of such feature descriptors is
based on physical phenomena, concretely by the heat equation
for the heat kernel signature and the Schrodinger equation for ¨
the wave kernel signature. Both approaches employ the spectral
decomposition of the Laplace-Beltrami operator, meaning that
solutions of the corresponding equations are expressed by
a series expansion in terms of eigenfunctions. The feature
descriptor is then computed at hand of those solutions. In
this paper we explore the influence of the amount of used
eigenfunctions on shape correspondence applications, as this is a
crucial point with respect to accuracy and overall computational
efficiency of the method. Our experimental study will be
performed at hand of a standard shape data set.},
 timestamp     = {2018.08.21},
 crossref      = {WUR2018}
}