Point-wise Map Recovery and Refinement from Functional Correspondence

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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Since their introduction in the shape analysis community, functional maps have met with considerable success due to their ability to compactly represent dense correspondences between deformable shapes. Despite the numerous advantages of such representation, however, the problem of converting a given functional map back to a point-topoint map has received a surprisingly limited interest. In this paper we analyze the general problem of point-wise map recovery from arbitrary functional maps. In doing so, we rule out many of the assumptions required by the currently established approach - most notably, the limiting requirement of the input shapes being nearlyisometric. We devise an efficient recovery process based on a simple probabilistic model. Experiments confirm that this approach achieves remarkable accuracy improvements in very challenging cases.
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@inproceedings{
10.2312:vmv.20151254
, booktitle = {
Vision, Modeling & Visualization
}, editor = {
David Bommes and Tobias Ritschel and Thomas Schultz
}, title = {{
Point-wise Map Recovery and Refinement from Functional Correspondence
}}, author = {
RodolĂ , Emanuele
and
Moeller, Michael
and
Cremers, Daniel
}, year = {
2015
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-905674-95-8
}, DOI = {
10.2312/vmv.20151254
} }
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