Combined filtering Method on the Sphere

 

 

Original image (Syncrotron emission simulation).

Simulated noise data (Sigma noise = 5.).

Combined Filtering Method (5 sigma thresholding), based on pyramidal wavelet on the sphere and pyramidal curvelet on the sphere .

Residual (i.e. simulated data - filtered data).

One face of the Healpix Syncrotron image representation (face 5).

a) original image;

b) noisy image;

c) Denoised image using the combined filtering method;

d) Residual (i.e. b-c).