Two New Algorithms for Fast Computation of Legendre Moments

QIN Lei; SHU Hua-zhong; JIN Feng-hua; TOUMOULIN Christine; LUO Li-min

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Two New Algorithms for Fast Computation of Legendre Moments

更新时间：2025-07-16

- Two New Algorithms for Fast Computation of Legendre Moments
- Acta Electronica Sinica Vol. 32, Issue 1, Pages: 25-28(2004)
- 作者机构：
  
  1. 东南大学生物科学与医学工程系,南京,210096
  2. 法国雷恩一大信号与图像处理实验室
  3. 东南大学生物科学与医学工程系南京,210096
  4. 法国雷恩一大信号与图像处理实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP301
- Published：2004
- 稿件说明：
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QIN Lei, SHU Hua-zhong, JIN Feng-hua, et al. Two New Algorithms for Fast Computation of Legendre Moments[J]. Acta Electronica Sinica, 2004, 32(1): 25-28.
DOI：

QIN Lei, SHU Hua-zhong, JIN Feng-hua, et al. Two New Algorithms for Fast Computation of Legendre Moments[J]. Acta Electronica Sinica, 2004, 32(1): 25-28. DOI：

摘要

Legendre正交矩在模式识别、图像分析等许多领域都有成功的应用

但是由于其计算的复杂性

相关的快速算法的研究尚未得到很好的解决.本文针对一类采用图像块方法描述的图像

提出两种快速、有效的计算Legendre矩的新方法

它们分别是累加方法和积分方法.这两种方法都有效地降低了计算复杂度

缩短了计算时间.

Abstract

Orthogonal moments have been successfully used in the field of pattern recognition and image analysis.However

due to its complexity

the problem of fast computation of orthogonal moments has not been well solved.In this paper

on the basis of representing images with blocks

we present two algorithms

cumulative method and integral method

for fast and effective computation of the two-dimensional Legendre moments.The numerical results show that the new algorithms can decrease the computational complexity and computation time significantly.

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Related Institution

School of Information Science and Technology, Sun Yat-sen University

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