Symmetric Piecewise Developable Approximations
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
We propose a novel method for generating symmetric piecewise developable approximations for shapes in approximately global reflectional or rotational symmetry. Given a shape and its symmetry constraint, the algorithm contains two crucial steps: (i) a symmetric deformation to achieve a nearly developable model and (ii) a symmetric segmentation aided by the deformed shape. The key to the deformation step is the use of the symmetric implicit neural representations of the shape and the deformation field. A new mesh extraction from the implicit function is introduced to construct a strictly symmetric mesh for the subsequent segmentation. The symmetry constraint is carefully integrated into the partition to achieve the symmetric piecewise developable approximation. We demonstrate the effectiveness of our algorithm over various meshes.
Description
CCS Concepts: Computing methodologies → Shape modeling
@article{10.1111:cgf.15242,
journal = {Computer Graphics Forum},
title = {{Symmetric Piecewise Developable Approximations}},
author = {He, Ying and Fang, Qing and Zhang, Zheng and Dai, Tielin and Wu, Kang and Liu, Ligang and Fu, Xiao-Ming},
year = {2024},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.15242}
}