Variational 3D Shape Segmentation for Bounding Volume Computation

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Date
2007
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Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd
Abstract
We propose a variational approach to computing an optimal segmentation of a 3D shape for computing a union of tight bounding volumes. Based on an affine invariant measure of e-tightness, the resemblance to ellipsoid, a novel functional is formulated that governs an optimization process to obtain a partition with multiple components. Refinement of segmentation is driven by application-specific error measures, so that the final bounding volume meets pre-specified user requirement. We present examples to demonstrate the effectiveness of our method and show that it works well for computing ellipsoidal bounding volumes as well as oriented bounding boxes.
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@article{
10.1111:j.1467-8659.2007.01055.x
, journal = {Computer Graphics Forum}, title = {{
Variational 3D Shape Segmentation for Bounding Volume Computation
}}, author = {
Lu, Lin
and
Choi, Yi-King
and
Wang, Wenping
and
Kim, Myung-Soo
}, year = {
2007
}, publisher = {
The Eurographics Association and Blackwell Publishing Ltd
}, ISSN = {
1467-8659
}, DOI = {
10.1111/j.1467-8659.2007.01055.x
} }
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