.png){kind=icon}
返回
HLO: Half-kernel Laplacian operator for surface smoothing
.png){kind=icon}
OA
AI
DOI：10.1016/j.cad.2019.102807.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper presents a simple yet effective and efficient method for feature-preserving surface smoothing. Through analyzing the differential property of surfaces, we show that the conventional discrete Laplacian operator with uniform weights is not applicable to feature points at which the surface is non differentiable and the second order derivatives do not exist. To overcome this difficulty, we propose a Half-kernel Laplacian Operator (HLO) as an alternative to the conventional Laplacian. Given a vertex v, HLO first finds all pairs of its neighboring vertices and divides each pair into two subsets (called half windows); then computes the uniform Laplacians of all such subsets and subsequently projects the computed Laplacians to the full-window uniform Laplacian to alleviate flipping and degeneration. The half window with least regularization energy is then chosen for v. We develop an iterative approach to apply HLO for surface denoising. Our method is conceptually simple and easy to use because it has a single parameter, i.e., the number of iterations for updating vertices. We show that our method can preserve features better than the popular uniform Laplacian-based denoising and it significantly alleviates the shrinkage artifact. Extensive experimental results demonstrate that HLO is better than or comparable to state-of-the-art techniques both qualitatively and quantitatively and that it is particularly good at handling meshes with high noise. Also, it outperforms all other compared methods in terms of computational time. We make our executable program publicly available. (C) 2019 Elsevier Ltd. All rights reserved.
Keyword:
Half-kernel Laplacian
Surface denoising
Discrete Laplacian
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
C
IF:
3.1
论文数:
3.2K
被引数:
6.4K
机构
引用论文
The development of China’s high-speed railway systems and a study of the dynamics of coupled systems in high-speed trains.png)
Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit
Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid TransitIF0
PREAI
分享收藏
查看更多内容