Abstract

In this letter, we propose a new phase-induced Gabor-based multiview active learning (MVAL) (PGMVAL) approach for hyperspectral image (HSI) classification. Our main contribution is to explore the potential of the phase offset term <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P$ </tex-math></inline-formula> in hand-crafted Gabor feature extraction, which is rarely exploited in previous works. The Gabor filters with <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P$ </tex-math></inline-formula> added, named as the phase-induced Gabor filters, are able to adjust their frequency response characteristics through <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P$ </tex-math></inline-formula> . Specifically, we utilize the phase-induced Gabor filtering for view generation purposes under a MVAL framework. As a result, PGMVAL is capable to exploit the complementary information residing in the phase-induced Gabor features corresponding to different <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$P\text{s}$ </tex-math></inline-formula> and simultaneously avoids high memory consumption and a large number of training samples required caused by introducing a new parameter. The experimental results obtained on two benchmark HSI data sets show that the proposed PGMVAL approach using phase-induced Gabor filtering could achieve better classification results with limited training samples.

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