Migrating orthogonal rotation-invariant moments from continuous to discrete space

Huibao Lin, Jennie Si, Glen P. Abousleman

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

1 Citation (Scopus)

Abstract

Orthogonality and rotation invariance are important feature properties in digital signal processing. Orthogonality enables a target to be represented by a compact number of features, while rotation invariance results in unique features for a target with different orientations. The orthogonal, rotation-invariant moments (ORIMs), such as Zernike, Pseudo-Zernike, and Orthogonal Fourier-Melling moments, are defined in continuous space. These ORIMs have been digitized and have been demonstrated effectively for some digital imagery applications. However, digitization compromises the orthogonality of the moments, and hence, reduces their precision. Therefore, digital ORIMs are incapable of representing the fine details of images. In this paper, we propose a numerical optimization technique to improve the orthogonality of the digital ORIMs. Simulation results show that our optimized digital ORIMs can be used to reproduce subtle details of images.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
VolumeII
DOIs
StatePublished - 2005
Event2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Philadelphia, PA, United States
Duration: Mar 18 2005Mar 23 2005

Other

Other2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
CountryUnited States
CityPhiladelphia, PA
Period3/18/053/23/05

Fingerprint

moments
orthogonality
Invariance
invariance
Analog to digital conversion
Digital signal processing
imagery
signal processing
optimization
simulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Lin, H., Si, J., & Abousleman, G. P. (2005). Migrating orthogonal rotation-invariant moments from continuous to discrete space. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. II). [1415387] https://doi.org/10.1109/ICASSP.2005.1415387

Migrating orthogonal rotation-invariant moments from continuous to discrete space. / Lin, Huibao; Si, Jennie; Abousleman, Glen P.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. II 2005. 1415387.

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

Lin, H, Si, J & Abousleman, GP 2005, Migrating orthogonal rotation-invariant moments from continuous to discrete space. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. II, 1415387, 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05, Philadelphia, PA, United States, 3/18/05. https://doi.org/10.1109/ICASSP.2005.1415387
Lin H, Si J, Abousleman GP. Migrating orthogonal rotation-invariant moments from continuous to discrete space. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. II. 2005. 1415387 https://doi.org/10.1109/ICASSP.2005.1415387
Lin, Huibao ; Si, Jennie ; Abousleman, Glen P. / Migrating orthogonal rotation-invariant moments from continuous to discrete space. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. II 2005.
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