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.
Description
@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}
}