Interpolatory √2-subdivision surfaces

Guiqing Li; Weiyin Ma; Hujun Bao

Interpolatory √2-subdivision surfaces

Guiqing Li
, Weiyin Ma
, Hujun Bao

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

27 Citations (Scopus)

Abstract

This paper presents a new interpolatory subdivision for quadrilateral meshes. The proposed scheme employs a √2 split operator to refine a given control mesh such that the face number of the refined mesh is doubled after each refinement. For regular meshes, the smallest mask is chosen to calculate newly inserted vertices and special rules are developed to compute the F-vertices for irregular faces based on the Fourier analysis of block circulant matrices. Numerical analysis manifests that the scheme yields globally C ¹ continuous limit surfaces. Finally, an extension to arbitrary polygonal meshes is considered.

Original language	English
Title of host publication	Proceedings - Geometric Modeling and Processing 2004
Pages	185-194
Publication status	Published - 2004
Event	Proceedings - Geometric Modeling and Processing 2004 - Beijing, China Duration: 13 Apr 2004 → 15 Apr 2004

Conference

Conference	Proceedings - Geometric Modeling and Processing 2004
Place	China
City	Beijing
Period	13/04/04 → 15/04/04

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title = "Interpolatory √2-subdivision surfaces",

abstract = "This paper presents a new interpolatory subdivision for quadrilateral meshes. The proposed scheme employs a √2 split operator to refine a given control mesh such that the face number of the refined mesh is doubled after each refinement. For regular meshes, the smallest mask is chosen to calculate newly inserted vertices and special rules are developed to compute the F-vertices for irregular faces based on the Fourier analysis of block circulant matrices. Numerical analysis manifests that the scheme yields globally C 1 continuous limit surfaces. Finally, an extension to arbitrary polygonal meshes is considered.",

author = "Guiqing Li and Weiyin Ma and Hujun Bao",

year = "2004",

language = "English",

isbn = "769520782",

pages = "185--194",

booktitle = "Proceedings - Geometric Modeling and Processing 2004",

note = "Proceedings - Geometric Modeling and Processing 2004 ; Conference date: 13-04-2004 Through 15-04-2004",

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T1 - Interpolatory √2-subdivision surfaces

AU - Li, Guiqing

AU - Ma, Weiyin

AU - Bao, Hujun

PY - 2004

Y1 - 2004

N2 - This paper presents a new interpolatory subdivision for quadrilateral meshes. The proposed scheme employs a √2 split operator to refine a given control mesh such that the face number of the refined mesh is doubled after each refinement. For regular meshes, the smallest mask is chosen to calculate newly inserted vertices and special rules are developed to compute the F-vertices for irregular faces based on the Fourier analysis of block circulant matrices. Numerical analysis manifests that the scheme yields globally C 1 continuous limit surfaces. Finally, an extension to arbitrary polygonal meshes is considered.

AB - This paper presents a new interpolatory subdivision for quadrilateral meshes. The proposed scheme employs a √2 split operator to refine a given control mesh such that the face number of the refined mesh is doubled after each refinement. For regular meshes, the smallest mask is chosen to calculate newly inserted vertices and special rules are developed to compute the F-vertices for irregular faces based on the Fourier analysis of block circulant matrices. Numerical analysis manifests that the scheme yields globally C 1 continuous limit surfaces. Finally, an extension to arbitrary polygonal meshes is considered.

UR - https://www.scopus.com/pages/publications/4544313168

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-4544313168&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 769520782

SP - 185

EP - 194

BT - Proceedings - Geometric Modeling and Processing 2004

T2 - Proceedings - Geometric Modeling and Processing 2004

Y2 - 13 April 2004 through 15 April 2004

ER -

Interpolatory √2-subdivision surfaces

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