Pei, Soo-Chang and Liu, Chun-Lin and Lai, Yun-Chiu (2016) Discrete Laguerre Gaussian Transforms and Their Applications. IEEE Transactions on Signal Processing, 64 (12). pp. 3156-3166. ISSN 1053-587X. doi:10.1109/TSP.2016.2537275. https://resolver.caltech.edu/CaltechAUTHORS:20160603-091929213
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Abstract
Laguerre Gaussian functions serve as a complete and orthonormal basis for a variety of physical problems, such as 2D isotropic quantum harmonic oscillators and circularly symmetric laser modes. In this paper, we propose “discrete Laguerre Gaussian functions,” which are defined such that some elegant physical properties are preserved and a fast computation algorithm of complexity O(N logN) is available. Discrete Laguerre Gaussian transforms, as introduced in this paper, inherit nice properties from discrete Laguerre Gaussian functions and admit signal analysis over circularly symmetric patterns. It is demonstrated through examples that discrete Laguerre Gaussian transforms find applications in circular pattern keypoints selection, object detection, image compression, rotational invariance feature for pattern recognition, and rotational angle estimation.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2016 IEEE. Manuscript received December 29, 2013; revised May 09, 2015; accepted February 13, 2016. Date of publication March 02, 2016; date of current version April 21, 2016. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Pina Marziliano. This work was supported by the Ministry of Science and Technology, Taiwan, under Contract 103-2221-E-002-102. | |||||||||
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| Subject Keywords: | Hermite Gaussian functions, keypoints selection, Laguerre Gaussian functions, image compression, rotation estimation | |||||||||
| Issue or Number: | 12 | |||||||||
| DOI: | 10.1109/TSP.2016.2537275 | |||||||||
| Record Number: | CaltechAUTHORS:20160603-091929213 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160603-091929213 | |||||||||
| Official Citation: | S. C. Pei, C. L. Liu and Y. C. Lai, "Discrete Laguerre Gaussian Transforms and Their Applications," in IEEE Transactions on Signal Processing, vol. 64, no. 12, pp. 3156-3166, June15, 2016. doi: 10.1109/TSP.2016.2537275 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 67644 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 03 Jun 2016 16:26 | |||||||||
| Last Modified: | 11 Nov 2021 03:52 |
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