地球信息科学学报 ›› 2012, Vol. 14 ›› Issue (3): 352-357.doi: 10.3724/SP.J.1047.2012.00352

• 遥感技术与应用 • 上一篇    下一篇

多进制小波变换的图像分辨率定量降低方法

张亚南1, 朱长青1, 杜福光2   

  1. 1. 南京师范大学虚拟地理环境教育部重点实验室,南京 210046;
    2. 唐山师范学院资源管理系,唐山 063000
  • 收稿日期:2011-11-14 修回日期:2012-05-04 出版日期:2012-06-25 发布日期:2012-06-25
  • 通讯作者: 朱长青(1962-)男,江苏阜宁人,博士生导师,主要研究方向为GIS理论与方法、空间数据安全、空间数据不确定性、遥感影像处理等。E-mail: zcq88@263.net E-mail:zcq88@263.net
  • 作者简介:张亚南(1986-)女,山东邹城人,博士研究生,主要研究方向为GIS数据安全。E-mail:yanandixin@126.com
  • 基金资助:

    国家高新技术研究发展计划"863"计划资助项目(2012AA12A305)。

A Method to Quantitively Reduce Image Resolution Based on Multi-band Wavelet Transform

ZHANG Yanan1, ZHU Changqing1, DU Fuguang2   

  1. 1. Key Laboratory of Virtual Geographical Environment, Ministry of Education, Nanjing Normal University, Nanjing 210046, China;
    2. Department of Resource Management, Tangshan Teachers College; Tangshan 063000, China
  • Received:2011-11-14 Revised:2012-05-04 Online:2012-06-25 Published:2012-06-25

摘要:

传统的图像分辨率降低主要是通过图像重采样实现的。多进制小波是近年来发展的小波分析理论的一个新的分支,它在正交性、紧支性、光滑性方面都优于二进制小波。本文首先介绍图像分辨率定量降低的需求与传统的图像分辨率降低方法;然后,以多进制小波的时频多分辨率特性,把多进制小波变换应用于定量降低图像分辨率,并用三进制小波变换进行了图像分辨率降低实验,提取三进制小波的低频分量作为降低分辨率后的图像;最后,通过与常用的图像重采样方法,如最临近法、双线性插值法及其衍生的邻域平均法的结果进行定性与定量评价,结果表明多进制小波在图像分辨率定量降低方面具有明显的优势。

关键词: 定量评价, 图像, 多进制小波, 分辨率降低

Abstract:

The achievement of traditional image resolution reduction is primarily through image resampling. Multi-band wavelet is a newly developed branch of wavelet analysis, and its orthogonality, compact support and smoothness are better than the binary wavelet. In this paper we firstly described the demand of quantitative reduction of image resolution and the traditional methods on image resolution reduction. Then we used multi-band wavelet to reduce image resolution quantitatively based on multi-resolution time frequency characteristics. We did the image resolution reduction experiment through the 3-band wavelet transformation and extracted the low-frequency information of the 3-band wavelet as the resulting image that achieved the image resolution reduction. Lastly, compared with the results of common image re-sampling methods, such as the nearest method, bilinear interpolation method and derivative neighborhood averaging method qualitatively and quantitatively, we found that multi-band wavelet has obvious advantages in image resolution reduction.

Key words: image, quantitative evaluation, multi-band wavelet, resolution reduction