Interactive control of mesh topology in quadrilateral mesh generation based on 2D tensor fields

Chongke Bi, Daisuke Sakurai, Shigeo Takahashi, Kenji Ono

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

1 被引用数 (Scopus)

抄録

Generating quadrilateral meshes is very important in many industrial applications such as finite element analysis and B-spline surface fitting. However, it is still a challenging task to design appropriate vertex connectivity in the quadrilateral meshes by respecting the shapes of the target object and its boundary. This paper presents an approach for interactively editing such mesh topology in quadrilateral meshes by introducing a 2D diffusion tensor field to the interior of the target object. The primary idea is to track the two principal directions of the tensor field first and then construct the dual graph of the quadrilateral mesh, so that we can control the mesh topology through the design of the underlying 2D diffusion tensor field. Our method provides interactive control of such mesh topology through editing the orientations of the tensor samples on the boundary of the target object. Furthermore, it also allows us to intentionally embed degeneracy inside the object to introduce extraordinary (i.e., non-degree-four) vertices according to user requirements.

本文言語英語
ホスト出版物のタイトルAdvances in Visual Computing - 8th International Symposium, ISVC 2012, Revised Selected Papers
ページ726-735
ページ数10
PART 2
DOI
出版ステータス出版済み - 2012
外部発表はい
イベント8th International Symposium on Visual Computing, ISVC 2012 - Rethymnon, Crete, ギリシャ
継続期間: 7月 16 20127月 18 2012

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
番号PART 2
7432 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他8th International Symposium on Visual Computing, ISVC 2012
国/地域ギリシャ
CityRethymnon, Crete
Period7/16/127/18/12

!!!All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータサイエンス一般

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