A new interpolation subdivision scheme for triangle/quad mesh

Shujin Lin; Xiaonan Luo; Songhua Xu; Jianmin Wang

doi:10.1016/j.gmod.2013.03.002

A new interpolation subdivision scheme for triangle/quad mesh

Shujin Lin, Xiaonan Luo, Songhua Xu, Jianmin Wang

Informatics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C¹ continuous. The new scheme is capable of reproducing the well-known four-point based interpolation subdivision in the quad region but does not reproduce Butterfly subdivision in the triangular part. The new scheme defines rules that produce surfaces both at the regular quad/triangle vertices and isolated, extraordinary points. We demonstrate the visually satisfying of our surfaces through several examples.

Original language	English (US)
Pages (from-to)	247-254
Number of pages	8
Journal	Graphical Models
Volume	75
Issue number	5
DOIs	https://doi.org/10.1016/j.gmod.2013.03.002
State	Published - 2013

All Science Journal Classification (ASJC) codes

Software
Modeling and Simulation
Geometry and Topology
Computer Graphics and Computer-Aided Design

Keywords

Interpolation
Subdivision
Triangle/quad mesh

Access to Document

10.1016/j.gmod.2013.03.002

Cite this

@article{460dbed73e35416fa9873e7f7fef7ed7,

title = "A new interpolation subdivision scheme for triangle/quad mesh",

abstract = "In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C1 continuous. The new scheme is capable of reproducing the well-known four-point based interpolation subdivision in the quad region but does not reproduce Butterfly subdivision in the triangular part. The new scheme defines rules that produce surfaces both at the regular quad/triangle vertices and isolated, extraordinary points. We demonstrate the visually satisfying of our surfaces through several examples.",

keywords = "Interpolation, Subdivision, Triangle/quad mesh",

author = "Shujin Lin and Xiaonan Luo and Songhua Xu and Jianmin Wang",

note = "Funding Information: The paper benefited from the helpful feedback of the reviewers. The work was supported by the National Science Fund of China (Nos. 61103162, 61232011), the Fundamental Research Funds for the Central Universities of China (No. 1109021170001137105), the Project 985 of Innovation Base for Journalism & Communication in the All-media Era of Sun Yat-Sen University. The fourth author was supported by the National Science Fund of China (No. 61073132). ",

year = "2013",

doi = "10.1016/j.gmod.2013.03.002",

language = "English (US)",

volume = "75",

pages = "247--254",

journal = "Graphical Models",

issn = "1524-0703",

publisher = "Elsevier Inc.",

number = "5",

}

TY - JOUR

T1 - A new interpolation subdivision scheme for triangle/quad mesh

AU - Lin, Shujin

AU - Luo, Xiaonan

AU - Xu, Songhua

AU - Wang, Jianmin

N1 - Funding Information: The paper benefited from the helpful feedback of the reviewers. The work was supported by the National Science Fund of China (Nos. 61103162, 61232011), the Fundamental Research Funds for the Central Universities of China (No. 1109021170001137105), the Project 985 of Innovation Base for Journalism & Communication in the All-media Era of Sun Yat-Sen University. The fourth author was supported by the National Science Fund of China (No. 61073132).

PY - 2013

Y1 - 2013

N2 - In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C1 continuous. The new scheme is capable of reproducing the well-known four-point based interpolation subdivision in the quad region but does not reproduce Butterfly subdivision in the triangular part. The new scheme defines rules that produce surfaces both at the regular quad/triangle vertices and isolated, extraordinary points. We demonstrate the visually satisfying of our surfaces through several examples.

AB - In this paper, we present a new interpolation subdivision scheme for mixed triangle/quad meshes that is C1 continuous. The new scheme is capable of reproducing the well-known four-point based interpolation subdivision in the quad region but does not reproduce Butterfly subdivision in the triangular part. The new scheme defines rules that produce surfaces both at the regular quad/triangle vertices and isolated, extraordinary points. We demonstrate the visually satisfying of our surfaces through several examples.

KW - Interpolation

KW - Subdivision

KW - Triangle/quad mesh

UR - http://www.scopus.com/inward/record.url?scp=84878574837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878574837&partnerID=8YFLogxK

U2 - 10.1016/j.gmod.2013.03.002

DO - 10.1016/j.gmod.2013.03.002

M3 - Article

AN - SCOPUS:84878574837

SN - 1524-0703

VL - 75

SP - 247

EP - 254

JO - Graphical Models

JF - Graphical Models

IS - 5

ER -

A new interpolation subdivision scheme for triangle/quad mesh

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this