Abstract
In this paper, we proposed a metric to measure the shift invariance of the three different contourlet transforms. And then, using the same structure texture image retrieval system which use subband coefficients energy, standard deviation and kurtosis features with Canberra distance, we gave a comparison of their texture description abilities. Experimental results show that contourlet-2.3 texture image retrieval system has almost retrieval rates with non-sub sampled contourlet system; the two systems have better retrieval results than the original contourlet retrieval system. On the other hand, for the relatively lower redundancy, we recommend using contourlet- 2.3 as texture description transform.
Highlights
Shift invariance level is a very important feature of wavelet-like transforms and has been paid much attention on the study of them
If is there a relation between shift invariance level and retrieval rate? Until now, we haven’t found the exact answer reported in the existing literature
Contourlet transform is superior to wavelet at representing texture and borders in images, it lacks of aliasing-free and shift insensitive characters, some other new contourlet versions were reported intent to reduce the problem during the past several years
Summary
Shift invariance level is a very important feature of wavelet-like transforms and has been paid much attention on the study of them. (2016) Shift Invariance Level Comparison of Several Contourlet Transforms and Their Texture Image Retrieval Systems. Contourlet transform is superior to wavelet at representing texture and borders in images, it lacks of aliasing-free and shift insensitive characters, some other new contourlet versions were reported intent to reduce the problem during the past several years. Cunha proposed the non-subsampled contourlet transform (NSCT) and get a higher shift invariant degree and reduced the aliasing phenomena widely exist in the basic contourlet transform [8]. Most features used in contourlet and wavelet retrieval systems are standard deviation and energy or only one of them separately. We will use this structure for comparison and discover the relationship between shift invariance and retrieval rate
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