图像椭圆扁度不变性及其在仿射不变量构造中的应用

季超; 杨晓东; 王炜

doi:10.3788/OPE.20162408.2078

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图像椭圆扁度不变性及其在仿射不变量构造中的应用

信息科学 | 更新时间：2020-07-07

- 图像椭圆扁度不变性及其在仿射不变量构造中的应用
- Invariance of image ellipse oblateness degree and its application to construction of affine invariants
- Editorial Office of Optics and Precision Engineeri 2016年24卷第8期页码：2078-2086
- 作者机构：
  
  海军潜艇学院, 山东青岛 266199
- 作者简介：
  
  季超(1987-)，男，山东济宁人，博士研究生，2010年于青岛科技大学获得学士学位，2013年于海军潜艇学院获得硕士学位，现为海军潜艇学院载运工具运用工程专业博士研究生，主要从事视觉导航、计算机图像处理与模式识别等方面的研究。E-mail：jichao200611@163.com E-mail:jichao200611@163.com
- 基金信息：
  
  海军装备部“十二五”规划资助项目(No.435515908)
- DOI：10.3788/OPE.20162408.2078
  中图分类号： TP391.4
- 收稿日期：2016-05-06，
  
  录用日期：2016-6-22，
  
  纸质出版日期：2016-08-25
- 稿件说明：
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季超, 杨晓东, 王炜. 图像椭圆扁度不变性及其在仿射不变量构造中的应用[J]. Editorial Office of Optics and Precision Engineeri, 2016,24(8):2078-2086.

Chao* JI, Xiao-dong YANG, Wei WANG. Invariance of image ellipse oblateness degree and its application to construction of affine invariants[J]. Optics and precision engineering, 2016, 24(8): 2078-2086.
季超, 杨晓东, 王炜. 图像椭圆扁度不变性及其在仿射不变量构造中的应用[J]. Editorial Office of Optics and Precision Engineeri, 2016,24(8):2078-2086. DOI： 10.3788/OPE.20162408.2078.

Chao* JI, Xiao-dong YANG, Wei WANG. Invariance of image ellipse oblateness degree and its application to construction of affine invariants[J]. Optics and precision engineering, 2016, 24(8): 2078-2086. DOI： 10.3788/OPE.20162408.2078.

摘要

针对传统基于面积比不变的仿射不变量方法具有的特征点选取不稳定且有冗余以及区域面积误差累积等特点，提出了一种基于图像椭圆扁度划分策略的仿射不变量构造方法。介绍了图像仿射变换模型，得到了图像仿射近似条件。结合图像椭圆扁率定义，依据不变矩理论证明了仿射变换下图像扁率的不变性。给出了图像扁度的定义及其物理含义，并以此作为图像同心圆划分依据，选取三阶以下仿射不变矩作为图像特征量，通过计算各同心圆区域的仿射不变量描述图像目标。将提出的方法应用于实际舰船图像并结合离散系数对其稳定性进行了分析。结果表明：同一舰船目标各种仿射变换图像计算所得扁度相同，所在划分特征圆区域仿射不变量离散系数最大为1.55%。得到的结果显示该方法对目标图像的特征区域划分具有唯一性，构造的仿射不变特征稳定性较好。

Abstract

As the traditional affine invariants based on the invariant of area ratio are characterized by unstable and redundant feature points

error accumulation

this paper proposes a novel method based on the division strategy of image ellipse oblateness degree for construction of affine invariants. The affine transformation model was presented

and the condition of affine approximation was obtained. In combination of the definition of image ellipse oblateness degree and the invariant moment theory

the invariance of image ellipse oblateness under affine transformation was verified. Meanwhile

the definition of image oblateness degree and its physical meaning were given. Then

on the basis of the image ellipse oblateness degree

the affine invariant moments below the 3rd order were selected as the feature descriptors

the image target was described by calculation of the affine invariants of each concentric region. Finally

the proposed method was applied to the actual ship images and its stability was analyzed by discrete coefficients. Experimental results indicate that all kinds of the target images for the same ship under different affine transformations have the same oblateness degree

and the maximum discrete coefficient in the divided feature region is 1.55%.It concludes that the proposed method is unique for the image division and constructed affine invariants have good stability.

关键词

Keywords

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