Visual Assessments of Functional Maps
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Shape-matching is one central topic in Geometry Processing, with numerous important applications in Computer Graphics and
shape analysis, such as shape registration, shape interpolation, modeling, information transfer and many others. A recent and
successful class of shape-matching methods is based on the functional maps framework [OBCS*12] where the correspondences
between the two surfaces is described in terms of a mapping between functions. Several effective approaches have been proposed
to produce accurate and reliable functional maps, leading to need for a way to assess the quality of a given solution. In
particular, standard quantitative evaluation methods focus mainly on the global matching error disregarding the annoying
effects of wrong correspondences along the surface details. Therefore, in this context, it is very important to pair quantitative
numeric evaluations with a visual, qualitative assessment. Although this is usually not recognized as a problem, the latter task
is not trivial, and we argue that the commonly employed solutions suffer from important limitations. In this work, we offer a new
visual evaluation method which is based on the transfer of the object-space normals across the two spaces and then visualize
the resulting lighting. In spite of its simplicity, this method produces readable images that allow subtleties of the mapping to be
discerned, and improve direct comparability of alternative results.
Description
@inproceedings{10.2312:sgp.20191224,
booktitle = {Symposium on Geometry Processing 2019- Posters},
editor = {Bommes, David and Huang, Hui},
title = {{Visual Assessments of Functional Maps}},
author = {Melzi, S. and Marin, R. and Musoni, P. and Castellani, U. and Tarini, M.},
year = {2019},
publisher = {The Eurographics Association},
ISSN = {1727-8384},
ISBN = {978-3-03868-094-9},
DOI = {10.2312/sgp.20191224}
}