正交旋转不变 V 矩及其在图像重建中的应用

陈伟; 张晓婷

doi:10.16383/j.aas.2015.c140347

正交旋转不变 V 矩及其在图像重建中的应用

doi: 10.16383/j.aas.2015.c140347

陈伟^,,
张晓婷

1.
江南大学数字媒体学院无锡 214122

基金项目:

国家自然科学基金(61170320,61272026,61272364),北京市自然科学基金重点项目暨北京市教育委员会科技发展计划重点项目(KZ201210009011),中央高校基本科研业务费专项资金(JUSRP11416)资助

详细信息

作者简介:
张晓婷江南大学数字媒体学院工程师.主要研究方向为数字媒体技术.E-mail: zhangxt6@163.com

通讯作者:
陈伟江南大学数字媒体学院讲师.2013 年获得澳门科技大学理学博士学位. 主要研究方向为计算机图形学和图像处理. 本文通信作者.E-mail: wchen_jdsm@163.com

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出版历程
- 收稿日期: 2014-05-15
- 修回日期: 2014-08-29
- 刊出日期: 2015-02-20

Orthogonal Rotation-invariant V Moments and Application to Image Reconstruction

CHEN Wei^,,
ZHANG Xiao-Ting

1.
School of Digital Media, Jiangnan University, Wuxi 214122

Funds:

Supported by National Natural Science Foundation of China (61170320, 61272026, 61272364), Beijing Natural Science Foundation Program and Scientific Research Key Program of Beijing Municipal Commission of Education (KZ201210009011), and Fundamental Research Funds for the Central Universities (JUSRP11416)

摘要

摘要: 定义在单位圆盘上的正交旋转不变矩函数(如Zernike矩) 具有非常广泛的应用. 本文基于一类正交分段多项式函数系--V系统, 构造了一种新型的矩函数, 称之为正交旋转不变V矩(简称为V矩). 除了正交性、旋转不变性之外, 由于V系统具有次数低、表达式简单的优点, V矩能够避免传统矩函数中高阶多项式的计算, 从而能够保证数值稳定性, 降低计算复杂度. 实验结果表明, V矩比传统的正交旋转不变矩具有更好的图像重建与图像检索结果.
- V系统 /
- 正交旋转不变矩 /
- 正交分段多项式 /
- 图像重建 /
- 图像检索
Abstract: Orthogonal rotation-invariant moments (ORIMs) such as Zernike moments introduced and defined on a continuous unit disk have been proven to be powerful tools in many applications. A new kind of ORIMs named V moments (VMs) is introduced in this paper, which is based on a class of orthogonal piecewise polynomial functions--V system. In addition to orthogonality and rotation-invariant, VMs have two special advantages of numerical stability and low computational complexity, which originate from the low degrees and simple expressions of the V system. Experimental results are presented to show that VMs can have a better image reconstruction and image retrieval results than the traditional moments.
- V system /
- orthogonal rotation-invariant moments (ORIMs) /
- orthogonal piecewise polynomials /
- image reconstruction /
- image retrieval

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参考文献(21)

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