Repairing Inconsistent Curve Networks on Non-parallel Cross-sections

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Date
2018
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Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In this work we present the first algorithm for restoring consistency between curve networks on non-parallel cross-sections. Our method addresses a critical but overlooked challenge in the reconstruction process from cross-sections that stems from the fact that cross-sectional slices are often generated independently of one another, such as in interactive volume segmentation. As a result, the curve networks on two non-parallel slices may disagree where the slices intersect, which makes these crosssections an invalid input for surfacing. We propose a method that takes as input an arbitrary number of non-parallel slices, each partitioned into two or more labels by a curve network, and outputs a modified set of curve networks on these slices that are guaranteed to be consistent. We formulate the task of restoring consistency while preserving the shape of input curves as a constrained optimization problem, and we propose an effective solution framework. We demonstrate our method on a data-set of complex multi-labeled input cross-sections. Our technique efficiently produces consistent curve networks even in the presence of large errors.
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@article{
10.1111:cgf.13339
, journal = {Computer Graphics Forum}, title = {{
Repairing Inconsistent Curve Networks on Non-parallel Cross-sections
}}, author = {
Huang, Zhi Yang
and
Holloway, Michelle
and
Carr, Nathan
and
Ju, Tao
}, year = {
2018
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.13339
} }
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