Material
Unfolding process:
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Reeb chart segmentation.
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Disk-like chart unfolding.
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Annulus-like chart unfolding.
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Query example with chart similarity matchings:
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Query model.
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1) d = 0.89
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2) d = 1.13
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3) d = 1.30
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4) d = 1.47
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5) d = 1.61
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6) d = 1.77
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7) d = 1.85
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8) d = 1.86
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9) d = 1.99
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Abstract
This paper presents a novel surface parameterization based technique
that addresses the pose insensitive shape signature problem for surface
models of arbitrary genus. It is based on the key idea that two surface
models are similar if the canonical mappings of their sub-parts
introduce similar distortions.
First, a Reeb graph of the shape is computed so as to segment it into
charts of controlled topology, denoted as Reeb charts, that have either
disk or annulus topology. Next, we define for each Reeb chart a
straightforward mapping to the canonical planar domain. Then, we compute
a stretching signature of the canonical mapping based on an area
distortion evaluation. Finally, the input shape is represented by the
set of the stretching signatures. An application to pose-insensitive
shape similarity is proposed by comparing the signatures of the
different Reeb charts.
Promising experimental results are presented and compared to
state-of-the-art techniques. The gain provided by this new signature as
well as its interest for partial shape similarity are demonstrated.
BibTeX Entry
@InProceedings{tierny07eg,
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author |
= "Tierny, Julien and Vandeborre, Jean-Philippe and Daoudi,
Mohamed", |
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title |
= "Reeb chart unfolding based 3{D} shape signatures",
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booktitle |
= "Eurographics",
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pages |
= "13-16", |
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year |
= "2007",
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address |
= "Prague, Czech Republic",
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| } |
Updated on September 9th, 2007.
