An RBF-based reparameterization method for constrained texture mapping

Hongchuan Yu, Tong Yee Lee, I. Cheng Yeh, X. Yang, Wenxi Li, Jian J. Zhang

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Texture mapping has long been used in computer graphics to enhance the realism of virtual scenes. However, to match the 3D model feature points with the corresponding pixels in a texture image, surface parameterization must satisfy specific positional constraints. However, despite numerous research efforts, the construction of a mathematically robust, foldover-free parameterization that is subject to positional constraints continues to be a challenge. In the present paper, this foldover problem is addressed by developing radial basis function (RBF)-based reparameterization. Given initial 2D embedding of a 3D surface, the proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points. In addition, this approach is mesh free. Therefore, generating smooth texture mapping results is possible without extra smoothing optimization.

Original languageEnglish
Article number5928343
Pages (from-to)1115-1124
Number of pages10
JournalIEEE Transactions on Visualization and Computer Graphics
Volume18
Issue number7
DOIs
Publication statusPublished - 2012 Mar 20

Fingerprint

Textures
Parameterization
Computer graphics
Pixels

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design

Cite this

Yu, Hongchuan ; Lee, Tong Yee ; Yeh, I. Cheng ; Yang, X. ; Li, Wenxi ; Zhang, Jian J. / An RBF-based reparameterization method for constrained texture mapping. In: IEEE Transactions on Visualization and Computer Graphics. 2012 ; Vol. 18, No. 7. pp. 1115-1124.
@article{944d0a3c134c4b4d93ee9442865e4070,
title = "An RBF-based reparameterization method for constrained texture mapping",
abstract = "Texture mapping has long been used in computer graphics to enhance the realism of virtual scenes. However, to match the 3D model feature points with the corresponding pixels in a texture image, surface parameterization must satisfy specific positional constraints. However, despite numerous research efforts, the construction of a mathematically robust, foldover-free parameterization that is subject to positional constraints continues to be a challenge. In the present paper, this foldover problem is addressed by developing radial basis function (RBF)-based reparameterization. Given initial 2D embedding of a 3D surface, the proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points. In addition, this approach is mesh free. Therefore, generating smooth texture mapping results is possible without extra smoothing optimization.",
author = "Hongchuan Yu and Lee, {Tong Yee} and Yeh, {I. Cheng} and X. Yang and Wenxi Li and Zhang, {Jian J.}",
year = "2012",
month = "3",
day = "20",
doi = "10.1109/TVCG.2011.117",
language = "English",
volume = "18",
pages = "1115--1124",
journal = "IEEE Transactions on Visualization and Computer Graphics",
issn = "1077-2626",
publisher = "IEEE Computer Society",
number = "7",

}

An RBF-based reparameterization method for constrained texture mapping. / Yu, Hongchuan; Lee, Tong Yee; Yeh, I. Cheng; Yang, X.; Li, Wenxi; Zhang, Jian J.

In: IEEE Transactions on Visualization and Computer Graphics, Vol. 18, No. 7, 5928343, 20.03.2012, p. 1115-1124.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An RBF-based reparameterization method for constrained texture mapping

AU - Yu, Hongchuan

AU - Lee, Tong Yee

AU - Yeh, I. Cheng

AU - Yang, X.

AU - Li, Wenxi

AU - Zhang, Jian J.

PY - 2012/3/20

Y1 - 2012/3/20

N2 - Texture mapping has long been used in computer graphics to enhance the realism of virtual scenes. However, to match the 3D model feature points with the corresponding pixels in a texture image, surface parameterization must satisfy specific positional constraints. However, despite numerous research efforts, the construction of a mathematically robust, foldover-free parameterization that is subject to positional constraints continues to be a challenge. In the present paper, this foldover problem is addressed by developing radial basis function (RBF)-based reparameterization. Given initial 2D embedding of a 3D surface, the proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points. In addition, this approach is mesh free. Therefore, generating smooth texture mapping results is possible without extra smoothing optimization.

AB - Texture mapping has long been used in computer graphics to enhance the realism of virtual scenes. However, to match the 3D model feature points with the corresponding pixels in a texture image, surface parameterization must satisfy specific positional constraints. However, despite numerous research efforts, the construction of a mathematically robust, foldover-free parameterization that is subject to positional constraints continues to be a challenge. In the present paper, this foldover problem is addressed by developing radial basis function (RBF)-based reparameterization. Given initial 2D embedding of a 3D surface, the proposed method can reparameterize 2D embedding into a foldover-free 2D mesh, satisfying a set of user-specified constraint points. In addition, this approach is mesh free. Therefore, generating smooth texture mapping results is possible without extra smoothing optimization.

UR - http://www.scopus.com/inward/record.url?scp=84862825748&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862825748&partnerID=8YFLogxK

U2 - 10.1109/TVCG.2011.117

DO - 10.1109/TVCG.2011.117

M3 - Article

C2 - 21690643

AN - SCOPUS:84862825748

VL - 18

SP - 1115

EP - 1124

JO - IEEE Transactions on Visualization and Computer Graphics

JF - IEEE Transactions on Visualization and Computer Graphics

SN - 1077-2626

IS - 7

M1 - 5928343

ER -