L₀-regularization based material design for hexahedral mesh models

The deformation behavior of a deformable part depends on its underlying material. Properly distributing heterogeneous elastic materials over an object is important in part design and becomes an active research topic in computer aided design and graphics. This paper considers the problem of how to de...

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Main Authors: Li, Haoxiang, Zheng, Jianmin
Other Authors: School of Computer Science and Engineering
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/163008
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1630082022-11-15T06:26:18Z L₀-regularization based material design for hexahedral mesh models Li, Haoxiang Zheng, Jianmin School of Computer Science and Engineering Engineering::Computer science and engineering Hexahedral Mesh Deformation The deformation behavior of a deformable part depends on its underlying material. Properly distributing heterogeneous elastic materials over an object is important in part design and becomes an active research topic in computer aided design and graphics. This paper considers the problem of how to design heterogeneous elastic materials over a hexahedral mesh model that commonly appears in computer-aided design and engineering applications. Existing approaches to solving the problem typically apply L2 regularization that is good for smoothly distributed material. Considering that many real-world objects likely have sparse material distribution, we propose an optimization formulation with a carefully designed objective function and L0 regularization. An iterative algorithm is presented to solve the L0-optimization problem. The L0 regularization encourages sparsity of the output material distribution, which may facilitate some approaches for digital material design in multi-material additive manufacturing. The experimental results show that the proposed method can output material distribution to produce the desired deformation behavior. Ministry of Education (MOE) This work is supported by the Ministry of Education, Singapore, under its MoE Tier-2 Grant (2017-T2-1-076). 2022-11-15T06:26:17Z 2022-11-15T06:26:17Z 2022 Journal Article Li, H. & Zheng, J. (2022). L₀-regularization based material design for hexahedral mesh models. Computer-Aided Design and Applications, 19(6), 1171-1183. https://dx.doi.org/10.14733/cadaps.2022.1171-1183 1686-4360 https://hdl.handle.net/10356/163008 10.14733/cadaps.2022.1171-1183 2-s2.0-85129131081 6 19 1171 1183 en 2017-T2-1-076 Computer-Aided Design and Applications © 2022 CAD Solutions, LLC. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Computer science and engineering
Hexahedral Mesh
Deformation
spellingShingle Engineering::Computer science and engineering
Hexahedral Mesh
Deformation
Li, Haoxiang
Zheng, Jianmin
L₀-regularization based material design for hexahedral mesh models
description The deformation behavior of a deformable part depends on its underlying material. Properly distributing heterogeneous elastic materials over an object is important in part design and becomes an active research topic in computer aided design and graphics. This paper considers the problem of how to design heterogeneous elastic materials over a hexahedral mesh model that commonly appears in computer-aided design and engineering applications. Existing approaches to solving the problem typically apply L2 regularization that is good for smoothly distributed material. Considering that many real-world objects likely have sparse material distribution, we propose an optimization formulation with a carefully designed objective function and L0 regularization. An iterative algorithm is presented to solve the L0-optimization problem. The L0 regularization encourages sparsity of the output material distribution, which may facilitate some approaches for digital material design in multi-material additive manufacturing. The experimental results show that the proposed method can output material distribution to produce the desired deformation behavior.
author2 School of Computer Science and Engineering
author_facet School of Computer Science and Engineering
Li, Haoxiang
Zheng, Jianmin
format Article
author Li, Haoxiang
Zheng, Jianmin
author_sort Li, Haoxiang
title L₀-regularization based material design for hexahedral mesh models
title_short L₀-regularization based material design for hexahedral mesh models
title_full L₀-regularization based material design for hexahedral mesh models
title_fullStr L₀-regularization based material design for hexahedral mesh models
title_full_unstemmed L₀-regularization based material design for hexahedral mesh models
title_sort l₀-regularization based material design for hexahedral mesh models
publishDate 2022
url https://hdl.handle.net/10356/163008
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