Research on Quantum-Inspired Mathematical Morphology

XIE Ke-fu; LUO An

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Research on Quantum-Inspired Mathematical Morphology

更新时间：2025-07-16

- Research on Quantum-Inspired Mathematical Morphology
- Acta Electronica Sinica Vol. 33, Issue 2, Pages: 284-287(2005)
- 作者机构：
  
  中南大学信息科学与工程学院,湖南,长沙,410083
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published：2005
- 稿件说明：
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XIE Ke-fu, LUO An. Research on Quantum-Inspired Mathematical Morphology[J]. Acta Electronica Sinica, 2005, 33(2): 284-287.
DOI：

XIE Ke-fu, LUO An. Research on Quantum-Inspired Mathematical Morphology[J]. Acta Electronica Sinica, 2005, 33(2): 284-287. DOI：

摘要

本文在量子信息处理技术的启发下提出一种新的数学形态学结构元素

该结构元素不是传统的结构元素的简单线性组合

而是一种类似于量子叠加态的多态结构元素.利用此结构元素构成的形态学基本算子被定义

其运算意义被解释

并指出在特定的情况下

该算子对数字图像的处理结果能退化到对应的传统形态学算子的处理结果.本文还给出一个利用这种叠加态结构元素进行二值图像边缘检测的实例

并将其检测结果与对应的传统处理结果进行了比较.

Abstract

A new structure element used for operation of mathematical morphology is proposed under inspiration of quantum information processing technology in this paper.The structure element is not simply a liner combination of conventional structure elements.It is a multi-state structure element similar to superposition of states of quantum mechanics.The operators of mathematical morphology using the structure are defined and the meaning of the operation is interpreted.The result attained in processing of digital image using the operators with multi-state structure element can be returned to the result attained by using conventional structure element under special condition.A example of using the structure to detect the edge of binary image is given and the result is compared to that detected by using conventional structure element.

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