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NRO 风格化:一种新颖的算法,用于三维表面网格的规则八面体风格化美学建模。

NRO-stylization: A novel algorithm for regular octahedral stylization aesthetic modeling of three-dimensional surface mesh.

机构信息

Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan, China.

Information School, Yunnan University of Finance and Economics, Kunming, Yunnan, China.

出版信息

PLoS One. 2024 Oct 29;19(10):e0310242. doi: 10.1371/journal.pone.0310242. eCollection 2024.

DOI:10.1371/journal.pone.0310242
PMID:39471143
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11521310/
Abstract

Stylization of 3D shapes has been a prominent topic in computer graphics. Geometric stylization, as a category within 3D shape stylization, has garnered widespread attention due to its distinctive geometric aesthetics. This paper introduces a novel and simplified method for achieving regular octahedral stylization, capable of transforming the input shape into the regular octahedral style while preserving the content of the original shape. The proposed method achieves regular octahedral stylization by using face normals. Its implementation is straightforward because it incurs a cost only in terms of solving several linear systems. To demonstrate the effectiveness and robustness of the proposed method, extensive tests were conducted on models with varying levels of complexity and topological structures. The results highlight the exceptional capability of the proposed method to generate geometric shapes with an aesthetically pleasing regular octahedral style.

摘要

三维形状的风格化一直是计算机图形学中的一个重要研究课题。几何风格化作为三维形状风格化的一个类别,由于其独特的几何美学而受到广泛关注。本文提出了一种新颖而简化的方法,可实现规则八面体风格化,能够将输入形状转换为规则八面体样式,同时保留原始形状的内容。所提出的方法使用面法向量实现规则八面体风格化。其实现非常简单,因为只需要求解几个线性系统。为了验证所提出方法的有效性和鲁棒性,我们对具有不同复杂程度和拓扑结构的模型进行了广泛的测试。结果突出了所提出方法生成具有令人愉悦的规则八面体风格的几何形状的卓越能力。

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本文引用的文献

1
Sketch2PQ: Freeform Planar Quadrilateral Mesh Design via a Single Sketch.Sketch2PQ:通过单一草图实现的自由形式平面四边形网格设计。
IEEE Trans Vis Comput Graph. 2023 Sep;29(9):3826-3839. doi: 10.1109/TVCG.2022.3170853. Epub 2023 Aug 1.
2
PolyCover: Shape Approximating With Discrete Surface Orientation.多胞覆盖:基于离散曲面方向的形状逼近。
IEEE Comput Graph Appl. 2021 May-Jun;41(3):85-95. doi: 10.1109/MCG.2021.3060946. Epub 2021 May 7.
3
Variational Mesh Denoising Using Total Variation and Piecewise Constant Function Space.
基于全变差和分段常数函数空间的变分网格去噪
IEEE Trans Vis Comput Graph. 2015 Jul;21(7):873-86. doi: 10.1109/TVCG.2015.2398432.
4
Bilateral normal filtering for mesh denoising.双边滤波处理网格去噪。
IEEE Trans Vis Comput Graph. 2011 Oct;17(10):1521-30. doi: 10.1109/TVCG.2010.264.