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Table 2 Main steps of the shearlet transform

From: Discrete shearlet transform on GPU with applications in anomaly detection and denoising

 

Forward transform

 

Inverse transform

1.

Laplacian decomposition

1.

Forward FFT of directional components

2.

Forward FFT of Laplacian components

2.

Modulation with complex conjugate directional filter bank

3.

Modulation of Laplacian components with directional filter bank

3.

Inverse FFT of directional components

4.

Inverse FFT of directional components

4.

Laplacian reconstruction