Skeleton-based Generalized Cylinder Deformation under the Relative Curvature Condition

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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Deformation of a generalized cylinder with a parameterized shape change of its centerline is a non-trivial task when the surface is represented as a high-resolution triangle mesh, particularly when self-intersection and local distortion are to be avoided. We introduce a deformation approach that satisfies these properties based on the skeleton (densely sampled centerline and cross sections) of a generalized cylinder. Our approach uses the relative curvature condition to extract a reasonable centerline for a generalized cylinder whose orthogonal cross sections will not intersect. Given the desired centerline shape as a parametric curve, the displacements on the cross sections are determined while controlling for twisting effects, and under this constraint a vertex-wise displacement field is calculated by minimizing a quadratic surface bending energy. The method is tested on complicated generalized cylindrical objects. In particular, we discuss one application of the method for human colon (large intestine) visualization.
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@inproceedings{
10.2312:pg.20181275
, booktitle = {
Pacific Graphics Short Papers
}, editor = {
Fu, Hongbo and Ghosh, Abhijeet and Kopf, Johannes
}, title = {{
Skeleton-based Generalized Cylinder Deformation under the Relative Curvature Condition
}}, author = {
Ma, Ruibin
and
Zhao, Qingyu
and
Wang, Rui
and
Damon, James
and
Rosenman, Julian
and
Pizer, Stephen
}, year = {
2018
}, publisher = {
The Eurographics Association
}, ISBN = {
978-3-03868-073-4
}, DOI = {
10.2312/pg.20181275
} }
Citation