Fourier method for large-scale surface modeling and registration

Li Shen, Sungeun Kim, Andrew Saykin

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Spherical harmonic (SPHARM) description is a powerful Fourier shape modeling method for processing arbitrarily shaped but simply connected 3D objects. As a highly promising method, SPHARM has been widely used in several domains including medical imaging. However, its primary use has been focused on modeling small or moderately sized surfaces that are relatively smooth, due to challenges related to its applicability, robustness and scalability. This paper presents an enhanced SPHARM framework that addresses these issues and show that the use of SPHARM can expand into broader areas. In particular, we present a simple and efficient Fourier expansion method on the sphere that enables large-scale modeling, and propose a new SPHARM registration method that aims to preserve the important homological properties between 3D models. Although SPHARM is a global descriptor, our experimental results show that the proposed SPHARM framework can accurately describe complicated graphics models and highly convoluted 3D surfaces and the proposed registration method allows for effective alignment and registration of these 3D models for further processing or analysis. These methods greatly enable the potential of applying SPHARM to broader areas such as computer graphics, medical imaging, CAD/CAM, bioinformatics, and other related geometric modeling and processing fields.

Original languageEnglish
Pages (from-to)299-311
Number of pages13
JournalComputers and Graphics (Pergamon)
Volume33
Issue number3
DOIs
StatePublished - Jun 2009

Fingerprint

Medical imaging
Processing
Computer aided manufacturing
Computer graphics
Bioinformatics
Scalability
Computer aided design
Computer simulation

Keywords

  • SPHARM expansion
  • Spherical harmonics
  • Spherical parameterization
  • Spherical thin plate spline
  • Surface registration

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Human-Computer Interaction
  • Engineering(all)

Cite this

Fourier method for large-scale surface modeling and registration. / Shen, Li; Kim, Sungeun; Saykin, Andrew.

In: Computers and Graphics (Pergamon), Vol. 33, No. 3, 06.2009, p. 299-311.

Research output: Contribution to journalArticle

@article{aef095699ecb4c56aa2785be1c4c296c,
title = "Fourier method for large-scale surface modeling and registration",
abstract = "Spherical harmonic (SPHARM) description is a powerful Fourier shape modeling method for processing arbitrarily shaped but simply connected 3D objects. As a highly promising method, SPHARM has been widely used in several domains including medical imaging. However, its primary use has been focused on modeling small or moderately sized surfaces that are relatively smooth, due to challenges related to its applicability, robustness and scalability. This paper presents an enhanced SPHARM framework that addresses these issues and show that the use of SPHARM can expand into broader areas. In particular, we present a simple and efficient Fourier expansion method on the sphere that enables large-scale modeling, and propose a new SPHARM registration method that aims to preserve the important homological properties between 3D models. Although SPHARM is a global descriptor, our experimental results show that the proposed SPHARM framework can accurately describe complicated graphics models and highly convoluted 3D surfaces and the proposed registration method allows for effective alignment and registration of these 3D models for further processing or analysis. These methods greatly enable the potential of applying SPHARM to broader areas such as computer graphics, medical imaging, CAD/CAM, bioinformatics, and other related geometric modeling and processing fields.",
keywords = "SPHARM expansion, Spherical harmonics, Spherical parameterization, Spherical thin plate spline, Surface registration",
author = "Li Shen and Sungeun Kim and Andrew Saykin",
year = "2009",
month = "6",
doi = "10.1016/j.cag.2009.03.002",
language = "English",
volume = "33",
pages = "299--311",
journal = "Computers and Graphics",
issn = "0097-8493",
publisher = "Elsevier Limited",
number = "3",

}

TY - JOUR

T1 - Fourier method for large-scale surface modeling and registration

AU - Shen, Li

AU - Kim, Sungeun

AU - Saykin, Andrew

PY - 2009/6

Y1 - 2009/6

N2 - Spherical harmonic (SPHARM) description is a powerful Fourier shape modeling method for processing arbitrarily shaped but simply connected 3D objects. As a highly promising method, SPHARM has been widely used in several domains including medical imaging. However, its primary use has been focused on modeling small or moderately sized surfaces that are relatively smooth, due to challenges related to its applicability, robustness and scalability. This paper presents an enhanced SPHARM framework that addresses these issues and show that the use of SPHARM can expand into broader areas. In particular, we present a simple and efficient Fourier expansion method on the sphere that enables large-scale modeling, and propose a new SPHARM registration method that aims to preserve the important homological properties between 3D models. Although SPHARM is a global descriptor, our experimental results show that the proposed SPHARM framework can accurately describe complicated graphics models and highly convoluted 3D surfaces and the proposed registration method allows for effective alignment and registration of these 3D models for further processing or analysis. These methods greatly enable the potential of applying SPHARM to broader areas such as computer graphics, medical imaging, CAD/CAM, bioinformatics, and other related geometric modeling and processing fields.

AB - Spherical harmonic (SPHARM) description is a powerful Fourier shape modeling method for processing arbitrarily shaped but simply connected 3D objects. As a highly promising method, SPHARM has been widely used in several domains including medical imaging. However, its primary use has been focused on modeling small or moderately sized surfaces that are relatively smooth, due to challenges related to its applicability, robustness and scalability. This paper presents an enhanced SPHARM framework that addresses these issues and show that the use of SPHARM can expand into broader areas. In particular, we present a simple and efficient Fourier expansion method on the sphere that enables large-scale modeling, and propose a new SPHARM registration method that aims to preserve the important homological properties between 3D models. Although SPHARM is a global descriptor, our experimental results show that the proposed SPHARM framework can accurately describe complicated graphics models and highly convoluted 3D surfaces and the proposed registration method allows for effective alignment and registration of these 3D models for further processing or analysis. These methods greatly enable the potential of applying SPHARM to broader areas such as computer graphics, medical imaging, CAD/CAM, bioinformatics, and other related geometric modeling and processing fields.

KW - SPHARM expansion

KW - Spherical harmonics

KW - Spherical parameterization

KW - Spherical thin plate spline

KW - Surface registration

UR - http://www.scopus.com/inward/record.url?scp=67349163255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349163255&partnerID=8YFLogxK

U2 - 10.1016/j.cag.2009.03.002

DO - 10.1016/j.cag.2009.03.002

M3 - Article

VL - 33

SP - 299

EP - 311

JO - Computers and Graphics

JF - Computers and Graphics

SN - 0097-8493

IS - 3

ER -