Affine Wigner moment invariants

Albert Hoang

Affine Wigner moment invariants

Albert Hoang^*

^*Corresponding author for this work

Medicine

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

Abstract

Moments of a Wigner distribution are defined based on both the space and spatial frequency coordinates and are considered as a summarization of the distribution. A method is proposed in this paper to derive functions called affine Wigner moment invariants (AWM) based on these moments. These functions remain unchanged when the underlying images are affine transformed. As Wigner distributions could be used for texture analysis, AWMI are expected to extract certain texture information. An experiment is reported in this paper to show empirically the functions indeed remain unchanged when the underlying images are affine transformed. And the performance of the AWMI in extracting texture information is compared with that of the affine moment invariants.

Original language	English
Title of host publication	Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011
Pages	720-726
Number of pages	7
State	Published - 2011
Event	2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011 - Las Vegas, NV, United States Duration: 18 Jul 2011 → 21 Jul 2011

Publication series

Name	Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011
Volume	2

Conference

Conference	2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011
Country/Territory	United States
City	Las Vegas, NV
Period	18/07/11 → 21/07/11

Keywords

Moment invariants
Texture
Wigner distributions

Cite this

@inproceedings{5a5e1010c807407a98275b91def87335,

title = "Affine Wigner moment invariants",

abstract = "Moments of a Wigner distribution are defined based on both the space and spatial frequency coordinates and are considered as a summarization of the distribution. A method is proposed in this paper to derive functions called affine Wigner moment invariants (AWM) based on these moments. These functions remain unchanged when the underlying images are affine transformed. As Wigner distributions could be used for texture analysis, AWMI are expected to extract certain texture information. An experiment is reported in this paper to show empirically the functions indeed remain unchanged when the underlying images are affine transformed. And the performance of the AWMI in extracting texture information is compared with that of the affine moment invariants.",

keywords = "Moment invariants, Texture, Wigner distributions",

author = "Albert Hoang",

year = "2011",

language = "English",

isbn = "9781601321916",

series = "Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011",

pages = "720--726",

booktitle = "Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011",

note = "2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011 ; Conference date: 18-07-2011 Through 21-07-2011",

}

Hoang, A 2011, Affine Wigner moment invariants. in Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011. Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011, vol. 2, pp. 720-726, 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011, Las Vegas, NV, United States, 18/07/11.

Affine Wigner moment invariants. / Hoang, Albert.
Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011. 2011. p. 720-726 (Proceedings of the 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011; Vol. 2).

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

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N2 - Moments of a Wigner distribution are defined based on both the space and spatial frequency coordinates and are considered as a summarization of the distribution. A method is proposed in this paper to derive functions called affine Wigner moment invariants (AWM) based on these moments. These functions remain unchanged when the underlying images are affine transformed. As Wigner distributions could be used for texture analysis, AWMI are expected to extract certain texture information. An experiment is reported in this paper to show empirically the functions indeed remain unchanged when the underlying images are affine transformed. And the performance of the AWMI in extracting texture information is compared with that of the affine moment invariants.

AB - Moments of a Wigner distribution are defined based on both the space and spatial frequency coordinates and are considered as a summarization of the distribution. A method is proposed in this paper to derive functions called affine Wigner moment invariants (AWM) based on these moments. These functions remain unchanged when the underlying images are affine transformed. As Wigner distributions could be used for texture analysis, AWMI are expected to extract certain texture information. An experiment is reported in this paper to show empirically the functions indeed remain unchanged when the underlying images are affine transformed. And the performance of the AWMI in extracting texture information is compared with that of the affine moment invariants.

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KW - Texture

KW - Wigner distributions

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T2 - 2011 International Conference on Image Processing, Computer Vision, and Pattern Recognition, IPCV 2011

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