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Sampling schemes (radial sampling scheme (sp) and measures of their Voronoi regions (mu))
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polar_ss_64.mat    %scheme contained in the ball of radius K=64, with Euclidean density D=1/(2*sqrt(2)) and distance between the points on the same line dr=0.4
polar_ss_128.mat   %scheme contained in the ball of radius K=128, with Euclidean density D=1/(2*sqrt(2)) and distance between the points on the same line dr=0.4
polar_ss_256.mat   %scheme contained in the ball of radius K=256, with Euclidean density D=1/(2*sqrt(2)) and distance between the points on the same line dr=0.4

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Fourier samples 
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1) of the function f=@(x,y)sin(5*pi*x).*cos(3*pi*y).*(0<=x).*(x<=1).*(0<=y).*(y<=1)
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samples_papercont_pol64.mat    %samples taken on the scheme from polar_ss_64.mat
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2) of the function f=@(x,y)(sin(3*pi*(y+1/2))+(x+1/4).*cos(2*pi*x.*(y+1/2))).^2.*(0<=x).*(x<=1).*(0<=y).*(y<=1)
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samples_cont_orig_pol128.mat       %samples taken on the scheme from polar_ss_128.mat
samples_cont_orig_pol128_40SNR.mat %samples taken on the scheme from polar_ss_128.mat with added Gaussian noise of SNR=40
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3) of the image 'earth.jpg'
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samples_earth_color_polar256.mat  %samples taken of color image on the scheme from polar_ss_256.mat
samples_earth_gray_polar256.mat   %samples taken of gray image on the scheme from polar_ss_256.mat

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The Fourier transform of wavelet scaling functions (internal and boundary, in both directions)
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ft_sca_64DB2_polar64.mat     %of 64^2 DB2 wavelets when samples are taken on the scheme from polar_ss_64.mat 
ft_sca_64DB3_polar64.mat     %of 64^2 DB3 wavelets when samples are taken on the scheme from polar_ss_64.mat 
ft_sca_64DB4_polar64.mat     %of 64^2 DB4 wavelets when samples are taken on the scheme from polar_ss_64.mat 
ft_sca_128DB2_polar128.mat   %of 128^2 DB2 wavelets when samples are taken on the scheme from polar_ss_128.mat 
ft_sca_256DB2_polar256.mat   %of 256^2 DB2 wavelets when samples are taken on the scheme from polar_ss_256.mat 


