Comparison between Mallat's and the ‘à trous’ discrete wavelet transform based algorithms for the fusion of multispectral and panchromatic images
Comparison between Mallat's and the ‘à trous’ discrete wavelet transform based algorithms for the fusion of multispectral and panchromatic images
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DOI：
10.1080/01431160512331314056
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发表时间：
2005-02
影响因子：
3.4
通讯作者：
M. González-Audícana;X. Otazu;O. Fors;A. Seco
中科院分区：
文献类型：
--
作者：
M. González-Audícana;X. Otazu;O. Fors;A. Seco
在过去的几年中，一些研究人员提出了不同的程序的基础上，小波变换的多光谱和全色图像的融合，提供令人满意的高空间分辨率图像保持原始多光谱数据的光谱特性。小波变换的离散方法可以用不同的算法来执行，Mallat和“à trous”是用于图像融合目的的最流行的算法。每种算法都有其特定的数学性质，并导致不同的图像分解。在本文中，这两种算法进行了比较，通过分析的光谱和空间质量的融合图像，这是通过应用几个小波基，图像融合方法获得。所有这些已被用来合并Ikonos多光谱和全色空间退化图像。融合图像的比较是基于光谱和空间特征，它是视觉和定量地进行使用统计参数和定量指标。尽管它的先验较低的理论数学适用于提取细节的多分辨率方案，'à trous'算法已制定出更好的比Mallat的算法的图像合并的目的。
In the last few years, several researchers have proposed different procedures for the fusion of multispectral and panchromatic images based on the wavelet transform, which provide satisfactory high spatial resolution images keeping the spectral properties of the original multispectral data. The discrete approach of the wavelet transform can be performed with different algorithms, Mallat's and the ‘à trous’ being the most popular ones for image fusion purposes. Each algorithm has its particular mathematical properties and leads to different image decompositions. In this article, both algorithms are compared by the analysis of the spectral and spatial quality of the merged images which were obtained by applying several wavelet based, image fusion methods. All these have been used to merge Ikonos multispectral and panchromatic spatially degraded images. Comparison of the fused images is based on spectral and spatial characteristics and it is performed visually and quantitatively using statistical parameters and quantitative indexes. In spite of its a priori lower theoretical mathematical suitability to extract detail in a multiresolution scheme, the ‘à trous’ algorithm has worked out better than Mallat's algorithm for image merging purposes.