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    Continuous and Orientation-preserving Correspondences via Functional Maps

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    1806.04455v1.pdf
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    8.634Mb
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    Description:
    Preprint
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    Type
    Preprint
    Authors
    Ren, Jing
    Poulenard, Adrien
    Wonka, Peter cc
    Ovsjanikov, Maks
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Computer Science Program
    Visual Computing Center (VCC)
    Date
    2018-06-12
    Permanent link to this record
    http://hdl.handle.net/10754/632538
    
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    Abstract
    We propose a method for efficiently computing orientation-preserving and approximately continuous correspondences between non-rigid shapes, using the functional maps framework. We first show how orientation preservation can be formulated directly in the functional (spectral) domain without using landmark or region correspondences and without relying on external symmetry information. This allows us to obtain functional maps that promote orientation preservation, even when using descriptors, that are invariant to orientation changes. We then show how higher quality, approximately continuous and bijective pointwise correspondences can be obtained from initial functional maps by introducing a novel refinement technique that aims to simultaneously improve the maps both in the spectral and spatial domains. This leads to a general pipeline for computing correspondences between shapes that results in high-quality maps, while admitting an efficient optimization scheme. We show through extensive evaluation that our approach improves upon state-of-the-art results on challenging isometric and non-isometric correspondence benchmarks according to both measures of continuity and coverage as well as producing semantically meaningful correspondences as measured by the distance to ground truth maps.
    Publisher
    arXiv
    arXiv
    1806.04455
    Additional Links
    http://arxiv.org/abs/1806.04455v1
    http://arxiv.org/pdf/1806.04455v1
    Collections
    Preprints; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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