Level set estimation on the sphere

Alexander Lorbert; Peter J. Ramadge

doi:10.1109/ICASSP.2010.5495725

Level set estimation on the sphere

Alexander Lorbert, Peter J. Ramadge

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We investigate a technique for estimating level sets of functionals on the 2-sphere. The surface of the sphere is finely partitioned using a tree decomposition and a candidate level set is obtained by minimizing a regularized cost on the tree. A cycle spinning scheme, implemented as an ensemble classification method, is developed to decrease the variance of the tree-based estimate. Both constructions are compatible with many existing hierarchical discretizations of the 2-sphere, e.g. HEALPix and HTM. We present simulation results of a synthetic data set and an fMRI data set.

Original language	English (US)
Title of host publication	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2202-2205
Number of pages	4
ISBN (Print)	9781424442966
DOIs	https://doi.org/10.1109/ICASSP.2010.5495725
State	Published - 2010
Event	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States Duration: Mar 14 2010 → Mar 19 2010

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Other

Other	2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Country/Territory	United States
City	Dallas, TX
Period	3/14/10 → 3/19/10

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Electrical and Electronic Engineering

Keywords

Image edge analysis
Mesh generation
Pattern classification
Quadtrees

Access to Document

10.1109/ICASSP.2010.5495725

Cite this

Lorbert, A., & Ramadge, P. J. (2010). Level set estimation on the sphere. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings (pp. 2202-2205). Article 5495725 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2010.5495725

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abstract = "We investigate a technique for estimating level sets of functionals on the 2-sphere. The surface of the sphere is finely partitioned using a tree decomposition and a candidate level set is obtained by minimizing a regularized cost on the tree. A cycle spinning scheme, implemented as an ensemble classification method, is developed to decrease the variance of the tree-based estimate. Both constructions are compatible with many existing hierarchical discretizations of the 2-sphere, e.g. HEALPix and HTM. We present simulation results of a synthetic data set and an fMRI data set.",

keywords = "Image edge analysis, Mesh generation, Pattern classification, Quadtrees",

author = "Alexander Lorbert and Ramadge, {Peter J.}",

year = "2010",

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series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings",

address = "United States",

note = "2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 ; Conference date: 14-03-2010 Through 19-03-2010",

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Lorbert, A & Ramadge, PJ 2010, Level set estimation on the sphere. in 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings., 5495725, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 2202-2205, 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010, Dallas, TX, United States, 3/14/10. https://doi.org/10.1109/ICASSP.2010.5495725

Level set estimation on the sphere. / Lorbert, Alexander; Ramadge, Peter J.
2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2010. p. 2202-2205 5495725 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Level set estimation on the sphere

AU - Lorbert, Alexander

AU - Ramadge, Peter J.

PY - 2010

Y1 - 2010

N2 - We investigate a technique for estimating level sets of functionals on the 2-sphere. The surface of the sphere is finely partitioned using a tree decomposition and a candidate level set is obtained by minimizing a regularized cost on the tree. A cycle spinning scheme, implemented as an ensemble classification method, is developed to decrease the variance of the tree-based estimate. Both constructions are compatible with many existing hierarchical discretizations of the 2-sphere, e.g. HEALPix and HTM. We present simulation results of a synthetic data set and an fMRI data set.

AB - We investigate a technique for estimating level sets of functionals on the 2-sphere. The surface of the sphere is finely partitioned using a tree decomposition and a candidate level set is obtained by minimizing a regularized cost on the tree. A cycle spinning scheme, implemented as an ensemble classification method, is developed to decrease the variance of the tree-based estimate. Both constructions are compatible with many existing hierarchical discretizations of the 2-sphere, e.g. HEALPix and HTM. We present simulation results of a synthetic data set and an fMRI data set.

KW - Image edge analysis

KW - Mesh generation

KW - Pattern classification

KW - Quadtrees

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U2 - 10.1109/ICASSP.2010.5495725

DO - 10.1109/ICASSP.2010.5495725

M3 - Conference contribution

AN - SCOPUS:78049375919

SN - 9781424442966

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 2202

EP - 2205

BT - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010

Y2 - 14 March 2010 through 19 March 2010

ER -

Lorbert A, Ramadge PJ. Level set estimation on the sphere. In 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2010. p. 2202-2205. 5495725. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2010.5495725

Level set estimation on the sphere

Abstract

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All Science Journal Classification (ASJC) codes

Keywords

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