Surface alignment of 3D spherical harmonic models: Application to cardiac MRI analysis

Heng Huang, Li Shen, Rong Zhang, Fillia Makedon, Bruce Hettleman, Justin Pearlman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Citations (Scopus)

Abstract

The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many cases; a more general method for establishing surface correspondence would be to minimize the mean squared distance between two corresponding surfaces. In this paper, a new surface matching algorithm is proposed for 3D SPHARM models to achieve this goal. This algorithm employs a useful rotational property of spherical harmonic basis functions for a fast implementation. Applications of medical image analysis (e.g., spatio-temporal modeling of heart shape changes) are used to demonstrate this approach. Theoretical proofs and experimental results show that our approach is an accurate and flexible surface correspondence alignment method.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages67-74
Number of pages8
Volume3749 LNCS
StatePublished - 2005
Externally publishedYes
Event8th International Conference on Medical Image Computing and Computer-Assisted Intervention - MICCAI 2005 - Palm Springs, CA, United States
Duration: Oct 26 2005Oct 29 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3749 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other8th International Conference on Medical Image Computing and Computer-Assisted Intervention - MICCAI 2005
CountryUnited States
CityPalm Springs, CA
Period10/26/0510/29/05

Fingerprint

Spherical Harmonics
Cardiac
Magnetic resonance imaging
Alignment
Spatio-Temporal Analysis
Diagnostic Imaging
Correspondence
Spatio-temporal Modeling
Medical Image Analysis
First-order
Surface Modeling
Model
Medical Imaging
Ellipsoid
Matching Algorithm
Harmonic Functions
Medical imaging
Basis Functions
Image analysis
Sufficient

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Huang, H., Shen, L., Zhang, R., Makedon, F., Hettleman, B., & Pearlman, J. (2005). Surface alignment of 3D spherical harmonic models: Application to cardiac MRI analysis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3749 LNCS, pp. 67-74). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3749 LNCS).

Surface alignment of 3D spherical harmonic models : Application to cardiac MRI analysis. / Huang, Heng; Shen, Li; Zhang, Rong; Makedon, Fillia; Hettleman, Bruce; Pearlman, Justin.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3749 LNCS 2005. p. 67-74 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3749 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Huang, H, Shen, L, Zhang, R, Makedon, F, Hettleman, B & Pearlman, J 2005, Surface alignment of 3D spherical harmonic models: Application to cardiac MRI analysis. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 3749 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3749 LNCS, pp. 67-74, 8th International Conference on Medical Image Computing and Computer-Assisted Intervention - MICCAI 2005, Palm Springs, CA, United States, 10/26/05.
Huang H, Shen L, Zhang R, Makedon F, Hettleman B, Pearlman J. Surface alignment of 3D spherical harmonic models: Application to cardiac MRI analysis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3749 LNCS. 2005. p. 67-74. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Huang, Heng ; Shen, Li ; Zhang, Rong ; Makedon, Fillia ; Hettleman, Bruce ; Pearlman, Justin. / Surface alignment of 3D spherical harmonic models : Application to cardiac MRI analysis. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 3749 LNCS 2005. pp. 67-74 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
@inproceedings{f89290fcd3164c71a1de36043cbe3e81,
title = "Surface alignment of 3D spherical harmonic models: Application to cardiac MRI analysis",
abstract = "The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many cases; a more general method for establishing surface correspondence would be to minimize the mean squared distance between two corresponding surfaces. In this paper, a new surface matching algorithm is proposed for 3D SPHARM models to achieve this goal. This algorithm employs a useful rotational property of spherical harmonic basis functions for a fast implementation. Applications of medical image analysis (e.g., spatio-temporal modeling of heart shape changes) are used to demonstrate this approach. Theoretical proofs and experimental results show that our approach is an accurate and flexible surface correspondence alignment method.",
author = "Heng Huang and Li Shen and Rong Zhang and Fillia Makedon and Bruce Hettleman and Justin Pearlman",
year = "2005",
language = "English (US)",
isbn = "3540293272",
volume = "3749 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
pages = "67--74",
booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

}

TY - GEN

T1 - Surface alignment of 3D spherical harmonic models

T2 - Application to cardiac MRI analysis

AU - Huang, Heng

AU - Shen, Li

AU - Zhang, Rong

AU - Makedon, Fillia

AU - Hettleman, Bruce

AU - Pearlman, Justin

PY - 2005

Y1 - 2005

N2 - The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many cases; a more general method for establishing surface correspondence would be to minimize the mean squared distance between two corresponding surfaces. In this paper, a new surface matching algorithm is proposed for 3D SPHARM models to achieve this goal. This algorithm employs a useful rotational property of spherical harmonic basis functions for a fast implementation. Applications of medical image analysis (e.g., spatio-temporal modeling of heart shape changes) are used to demonstrate this approach. Theoretical proofs and experimental results show that our approach is an accurate and flexible surface correspondence alignment method.

AB - The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many cases; a more general method for establishing surface correspondence would be to minimize the mean squared distance between two corresponding surfaces. In this paper, a new surface matching algorithm is proposed for 3D SPHARM models to achieve this goal. This algorithm employs a useful rotational property of spherical harmonic basis functions for a fast implementation. Applications of medical image analysis (e.g., spatio-temporal modeling of heart shape changes) are used to demonstrate this approach. Theoretical proofs and experimental results show that our approach is an accurate and flexible surface correspondence alignment method.

UR - http://www.scopus.com/inward/record.url?scp=33744791809&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744791809&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:33744791809

SN - 3540293272

SN - 9783540293279

VL - 3749 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 67

EP - 74

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -