Variational reconstruction using subdivision surfaces with continuous sharpness control

We present a variational method for subdivision surface reconstruction from a noisy dense mesh. A new set of subdivision rules with continuous sharpness control is introduced into Loop subdivision for better modeling subdivision surface features such as semi-sharp creases, creases, and corners. The...

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Main Authors: Wu, Xiaoqun, Zheng, Jianmin, Cai, Yiyu, Li, Haisheng
Other Authors: School of Computer Science and Engineering
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/88389
http://hdl.handle.net/10220/45730
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-883892020-03-07T11:48:59Z Variational reconstruction using subdivision surfaces with continuous sharpness control Wu, Xiaoqun Zheng, Jianmin Cai, Yiyu Li, Haisheng School of Computer Science and Engineering School of Mechanical and Aerospace Engineering Subdivision Surface Variational Model DRNTU::Engineering::Computer science and engineering We present a variational method for subdivision surface reconstruction from a noisy dense mesh. A new set of subdivision rules with continuous sharpness control is introduced into Loop subdivision for better modeling subdivision surface features such as semi-sharp creases, creases, and corners. The key idea is to assign a sharpness value to each edge of the control mesh to continuously control the surface features. Based on the new subdivision rules, a variational model with L1 norm is formulated to find the control mesh and the corresponding sharpness values of the subdivision surface that best fits the input mesh. An iterative solver based on the augmented Lagrangian method and particle swarm optimization is used to solve the resulting non-linear, non-differentiable optimization problem. Our experimental results show that our method can handle meshes well with sharp/semi-sharp features and noise. MOE (Min. of Education, S’pore) Published version 2018-08-29T06:43:03Z 2019-12-06T17:02:12Z 2018-08-29T06:43:03Z 2019-12-06T17:02:12Z 2017 Journal Article Wu, X., Zheng, J., Cai, Y., & Li, H. (2017). Variational reconstruction using subdivision surfaces with continuous sharpness control. Computational Visual Media, 3(3), 217-228. doi:10.1007/s41095-017-0088-2 2096-0433 https://hdl.handle.net/10356/88389 http://hdl.handle.net/10220/45730 10.1007/s41095-017-0088-2 en Computational Visual Media © 2017 The Author(s). The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 12 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Subdivision Surface
Variational Model
DRNTU::Engineering::Computer science and engineering
spellingShingle Subdivision Surface
Variational Model
DRNTU::Engineering::Computer science and engineering
Wu, Xiaoqun
Zheng, Jianmin
Cai, Yiyu
Li, Haisheng
Variational reconstruction using subdivision surfaces with continuous sharpness control
description We present a variational method for subdivision surface reconstruction from a noisy dense mesh. A new set of subdivision rules with continuous sharpness control is introduced into Loop subdivision for better modeling subdivision surface features such as semi-sharp creases, creases, and corners. The key idea is to assign a sharpness value to each edge of the control mesh to continuously control the surface features. Based on the new subdivision rules, a variational model with L1 norm is formulated to find the control mesh and the corresponding sharpness values of the subdivision surface that best fits the input mesh. An iterative solver based on the augmented Lagrangian method and particle swarm optimization is used to solve the resulting non-linear, non-differentiable optimization problem. Our experimental results show that our method can handle meshes well with sharp/semi-sharp features and noise.
author2 School of Computer Science and Engineering
author_facet School of Computer Science and Engineering
Wu, Xiaoqun
Zheng, Jianmin
Cai, Yiyu
Li, Haisheng
format Article
author Wu, Xiaoqun
Zheng, Jianmin
Cai, Yiyu
Li, Haisheng
author_sort Wu, Xiaoqun
title Variational reconstruction using subdivision surfaces with continuous sharpness control
title_short Variational reconstruction using subdivision surfaces with continuous sharpness control
title_full Variational reconstruction using subdivision surfaces with continuous sharpness control
title_fullStr Variational reconstruction using subdivision surfaces with continuous sharpness control
title_full_unstemmed Variational reconstruction using subdivision surfaces with continuous sharpness control
title_sort variational reconstruction using subdivision surfaces with continuous sharpness control
publishDate 2018
url https://hdl.handle.net/10356/88389
http://hdl.handle.net/10220/45730
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