Pascal-Triangle-Transform-Based Moments Calculation

Li Bingcheng; Institute of Antomation

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Pascal-Triangle-Transform-Based Moments Calculation

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- Pascal-Triangle-Transform-Based Moments Calculation
- Acta Electronica Sinica Issue 9, Pages: 34-39(1992)
- 作者机构：
  
  1.   中科院自动化所
  2.   东南大学生医系北京10008
  3.   南京210018
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1992
- 稿件说明：
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[1]李炳成,沈俊.基于帕斯卡三角形变换的矩计算[J].电子学报,1992(09):34-39.

Li Bingcheng, Institute of Antomation. Pascal-Triangle-Transform-Based Moments Calculation[J]. Acta Electronica Sinica, 1992, (9): 34-39.
[1]李炳成,沈俊.基于帕斯卡三角形变换的矩计算[J].电子学报,1992(09):34-39. DOI：

Li Bingcheng, Institute of Antomation. Pascal-Triangle-Transform-Based Moments Calculation[J]. Acta Electronica Sinica, 1992, (9): 34-39. DOI：

摘要

本文提出单项式计算的帕斯卡（杨辉）三角形变换方法

给出帕斯卡三角形变换实现的systolic结构和快速计算矩的串行及并行算法.对于二值图象

新算法具有计算代价低、对求解矩的阶数没有限制、易于软硬件实现以及单项式计算与输入图象无关等优点.

Abstract

Pascal triangle transform is proposed to calculate monomials

then a novel systolic structure is given to implement Pascal triangle transform

which makes monomial calculation much simple. Based on this

we propose sequential and parallel structures to calculate the moments of binary images. The method has the following advantages: 1. its calculation cost is low

2. there is no limit on the order of the moments to be calculated

3. no multiplication is needed

4. it is easy for the hardware and software implementation

5. monomial calculations are independent of input images.

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