A Virtual Dimension Estimation Method for Hyperspectral Imagery Based on Ridge Ratio Shrinkage
A hyperspectral image and dimensionality technology, which is applied in the field of hyperspectral image virtual dimension estimation based on ridge ratio shrinkage, can solve the problems of poor estimation accuracy of hyperspectral image virtual dimension and cannot guarantee the consistency of estimation, and achieve large Universality and rationality, strong operability and reproducibility, effects of reducing processing time and storage space
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Embodiment 1
[0080] The first example uses mock data. The TRR method and the NWTRR method proposed by the present invention are compared with other methods, wherein the NWTRR method uses the TRR method after noise whitening. The noise whitening method is as follows: Do preprocessing. Preprocessing includes demeaning and whitening. By performing a linear transformation on the observed data vector to make its mean zero and variance one, the correlation between observations is removed.
[0081] In the process of generating simulated data, we set the virtual dimension of the image to be 5, the white noise to be Legendre white noise, and the signal-to-noise ratio to take four different values of 20, 40, 60, and 80 to increase the accuracy of the comparison. The results are shown in Table 1 Shown:
[0082] The comparative data of table 1. embodiment 1
[0083]
[0084] From the analysis in Table 1, it can be seen that when the signal-to-noise ratio is 20, the above method performs bas...
Embodiment 2
[0086] In the second example, we apply the method TRR of the present invention and other methods used in Example 1 to four actual images for virtual dimension estimation, and the results are shown in Table 2:
[0087] The comparative data of table 2. embodiment 2
[0088]
[0089] The above four actual images are commonly used hyperspectral datasets. It can be seen from Table 2 that the TRR method of the present invention performs well in all four groups of images, the floating range near the virtual dimension is small, and the real virtual dimension is basically estimated correctly. While other methods, such as ELM, which perform well in simulated datasets, suffer significant errors. The performance of HFC and the denoised improved NWHFC is also unsatisfactory in each set of images. Therefore, in general, other methods have large errors.
[0090] To sum up, in the current popular theory of HFC hypothesis testing, we found that it is inconsistent, biased estimation, and ...
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