why to use squared energy and mean amplitude as features of gabor filters?

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I was reading a paper about using gabor filters for feature extraction, and the author mentioned that he represented the gabor filter responses in terms of amplitude and energy, so my questions are:
1) what is the meaning of energy in this case? 2) when to use energy and amplitude as features in texture analysis?
3) is there a difference between gabor wavelet and gabor filter?
the paper i was reading : "Local isotropic phase symmetry measure for detection of beta cells and lymphocytes"
Thank you so much

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