poster

Polyhedral meshes with concave faces

Authors:

Caigui Jiang,

Renjie ChenAuthors Info & Claims

SA '17: SIGGRAPH Asia 2017 Posters

Article No.: 36, Pages 1 - 2

https://doi.org/10.1145/3145690.3145694

Published: 27 November 2017 Publication History

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Abstract

We study the design and optimization of polygonal meshes with concave planar faces. The motivating applications of this work are architecture, product design, and art. To discretize freeform surfaces into polyhedral meshes, we propose a novel class of regularizers for mesh aesthetics based on symmetries. They are useful to generate concave polygons on negative Gaussian curvature region, and provide the necessary flexibility to create smooth transformation of planar faces across the region where Gaussian curvature alternated between positive and negative.

References

[1]

Caigui Jiang, Chengcheng Tang, Amir Vaxman, Peter Wonka, and Helmut Pottmann. 2015. Polyhedral patterns. ACM Transactions on Graphics (TOG) 34, 6 (2015), 172.

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[2]

Yufei Li, Yang Liu, and Wenping Wang. 2015. Planar hexagonal meshing for architecture. IEEE transactions on visualization and computer graphics 21, 1 (2015), 95--106.

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[3]

Yang Liu, Helmut Pottmann, Johannes Wallner, Yong-Liang Yang, and Wenping Wang. 2006. Geometric modeling with conical meshes and developable surfaces. In ACM Transactions on Graphics (TOG), Vol. 25. ACM, 681--689.

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[4]

Yang Liu, Weiwei Xu, Jun Wang, Lifeng Zhu, Baining Guo, Falai Chen, and Guoping Wang. 2011. General planar quadrilateral mesh design using conjugate direction field. In ACM Transactions on Graphics (TOG), Vol. 30. ACM, 140.

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Index Terms

Polyhedral meshes with concave faces
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Mesh geometry models

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Information

Published In

SA '17: SIGGRAPH Asia 2017 Posters

November 2017

114 pages

ISBN:9781450354059

DOI:10.1145/3145690

Conference Chairs:
Diego Gutierrez
University of Zaragoza, Spain
,
Hui Huang
Shenzhen University, China

Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 27 November 2017

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SA '17

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SIGGRAPH

SA '17: SIGGRAPH Asia 2017

November 27 - 30, 2017

Bangkok, Thailand

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Overall Acceptance Rate 178 of 869 submissions, 20%

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Index Terms

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Meshes with Spherical Faces

Untangling polygonal and polyhedral meshes via mesh optimization

Cell packing structures