In our previous work, a new dual-tree complex wavelet transform (DT-CWT) model for surface analysis has been built, which solved the problem of the lack of shift-invariance that existed in the first and second generation wavelet models. Unfortunately, the DT-CWT model still has the same problem as t
Feature extraction based on the Bhattacharyya distance
β Scribed by Euisun Choi; Chulhee Lee
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 154 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0031-3203
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β¦ Synopsis
In this paper, we present a feature extraction method by utilizing an error estimation equation based on the Bhattacharyya distance. We propose to use classiΓΏcation errors in the transformed feature space, which are estimated using the error estimation equation, as a criterion for feature extraction. The construction of linear transformation for feature extraction is conducted using an iterative gradient descent algorithm, so that the estimated classiΓΏcation error is minimized. Due to the ability to predict error, it is possible to determine the minimum number of features required for classiΓΏcation. Experimental results show that the proposed feature extraction method compares favorably with conventional methods.
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A nonlinear feature extraction method is presented which can reduce the data dimension down to the number of classes, providing dramatic savings in computational costs. The dimension reducing nonlinear transformation is obtained by implicitly mapping the input data into a feature space using a kerne