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Authors: Zizhao Wu ; Ruyang Shou and Xinguo Liu

Affiliation: Zhejiang University, China

ISBN: 978-989-8565-46-4

Keyword(s): Geometry Processing, Shape Correspondence, Spectral Embedding.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometric Computing ; Geometry and Modeling ; Modeling and Algorithms ; Surface Modeling

Abstract: Spectral embedding, as one of shape representative techniques, takes hold of many researchers’ attention in field of shape correspondence. One of the biggest challenges of spectral correspondence method is that embeddings of different shapes need to be aligned in the embedding space in order to eliminate sign flip and ordering ambiguity of their eigenfunctions, before seeking for correspondence. In this paper, we introduce a spectral correspondence method by embedding shapes in a unified space simultaneously. In the unified embedding space, the sample points of the same shape with small intrinsic distances, and from different shapes with high similarity, are close to each other. Our unified embedding can be used for correspondence directly, without need of alignment. Furthermore, the unified embedding captures both the spatial arrangement and the feature similarity. Shape correspondence is achieved with such embedding by minimizing an objective function. Results show the efficiency of our method. (More)

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Paper citation in several formats:
Wu, Z.; Shou, R. and Liu, X. (2013). A Unified Spectral Embedding for Shape Correspondence.In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013) ISBN 978-989-8565-46-4, pages 94-99. DOI: 10.5220/0004278700940099

@conference{grapp13,
author={Zizhao Wu. and Ruyang Shou. and Xinguo Liu.},
title={A Unified Spectral Embedding for Shape Correspondence},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013)},
year={2013},
pages={94-99},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004278700940099},
isbn={978-989-8565-46-4},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013)
TI - A Unified Spectral Embedding for Shape Correspondence
SN - 978-989-8565-46-4
AU - Wu, Z.
AU - Shou, R.
AU - Liu, X.
PY - 2013
SP - 94
EP - 99
DO - 10.5220/0004278700940099

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