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Legendre矩的一种有效算法 被引量:5

An Efficient Method of Computation of Legendre Moments
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摘要 L egendre正交矩在模式识别、图像分析等许多领域有成功的应用 .然而 ,由于正交矩的复杂性 ,目前有关正交矩快速算法的研究很少 ,从而在一定程度上影响了它的应用 .对此 ,作者对 L egendre多项式进行了研究 ,获得了一些新的有效的性质 。 Legendre moments have been successfully used in pattern recognition and image analysis. However, due to its complexity, there exist few fast algorithms for computing Legendre moments, which limits its application. In this paper, some properties of Legendre polynomials have been investigated, they permit us to reduce significantly the computational complexity in the calculation of Legendre moments.
出处 《计算机学报》 EI CSCD 北大核心 2000年第8期862-865,共4页 Chinese Journal of Computers
关键词 快速算法 LEGENDRE矩 模式识别 图像分析 Legendre polynomials, orthogonal moments, fast algorithm
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参考文献2

  • 1Shu H Z,Pattern Recognition,2000年,33卷,2期,341页
  • 2Liao S X,IEEE Trans Pattern Anal Machine Intell,1996年,18卷,3期,254页

同被引文献49

  • 1Pew-Thian Yap, Paramesran R. An efficient method for the computa- tion of Legendre moments [J]. Pattern Analysis and Machine Intelli- gence, IEEE Transactions on Volume 27, Issue 12, Dec 2005 ,Page (s): 1996-2002.
  • 2Ahmadian A, Faramarzi E, Sayadian. Image indexing and retrieval us- ing Gabor wavelet and Legendre moments [J]. Engineer ing in Medicine and Biology Society, 2003,Proceedings of the 25th Annual International Conference of the IEEE Volume 1, 17-21 Sept 2003, Page(s):560 - 563.
  • 3Foulonneau A, Charbonnier P, Heitz F. Affine-invariant geo metric shape priors for region-based active contours [J]. Pattern Analysis and Machine Intelligence, IEEE Transactions on Volume 28, Issue 8, Aug 2006,Page(s): 1352 - 1357.
  • 4Xin, Y, Pawlak, M, Liao, S. Accurate Computation of Zemike Mo- ments in Polar Coordinates [J]. Image Proceeding, IEEE Transactions on Volume 16, Issue 2, Feb 2007, Page(s):581 - 587.
  • 5Belkasim, S, Hassan E, Obeidi T. Radial Zemike moment invariants [C]. Computer and Information Technology, 2004,CIT04,The Fourth International Conference on 14-16 Sept 2004 ,Page(s):790 - 795.
  • 6Tsong-Wuu Lin, Yun-Feng Chou. A comparative study of Zemike mo- ments [C].Web Intelligence, 2003,WI 2003,Proceedings,IEEE/WIC International Conference on 13-17 Oct 2003 ,Page(s):516 - 519.
  • 7Hae-Kwang Kim, Jong-Deuk IOm, Dong-Gyu Sim, Dae-Ⅱ Oh. A mod- ified Zernike moment shape descriptor invariant to translation, rota- tion and scale for similarity-based image retrieval [J]. Multimedia and Expo, 2000,ICME 2000,2000 IEEE International Conference on Vol- ume 1, 30 July-2 Aug 2000, Page(s):307 - 310.
  • 8Dengsheng Zhang, Guojun Lu. Improving retrieval performance of Zernike moment descriptor on affined shapes [C]. Multimedia and Expo, 2002,I IEEE International Confer- ence on Volume 1, 26-29 Aug 2002, Page(s):205 - 208.
  • 9苏环 李弼程.4种矩描述子在形状检索中的性能比较.中国图像图形学报,2003,:403-406.
  • 10Kass M,Withkin M,Terzopoulos D.Snakes:Active Contour Models[C].In:Proc 1st Int Conf on Comperter Vision,London,1987,259-268.

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