3 Speckle Noise Reduction and Enhancement for OCT Images
45
Table 3.1
Summary of transform models discussed above [16, 22]
Transform name
Dimension Parameters
Introduced
in
References
Non-data
adaptive
transforms
Single scale Fourier transform
1D/2D/3D
Frequency
1948
Campbell and Foster [72]
Cosine transform (DCT)
1D/2D/3D
Frequency
1974
Ahmed et al. [73]
Multi-scale Separable wavelet transform
1D/2D/3D
Scale-translation
1988
Daubechies [23]
Wavelet packet transform
1D/2D/3D
Scale-translation- frequency 1992
Coifman [74]
Geometrical X-lets (wedgelet)
2D
Scale-translation- angle
1997
Donoho [75]
Complex wavelet transform
2D/3D
Scale-translation
1998
Kingsbury [76]
Geometrical X-lets (curvelet)
2D/3D
Scale-translation- angle
2000
Candès and Donoho [77]
Geometrical X-lets (bandlet)
2D
Scale-translation- angle
2004
Pennec and Mallat [78]
Geometrical X-lets (contourlet)
2D
Scale-translation- angle
2005
Do and Vetterli [79]
Geometrical X-lets (circlet)
2D
Scale-translation- angle
2011
Chauris [80]
Geometrical X-lets (Surfacelet)
3D
Scale-translation- angle
2005
Lu and Do [81]
Dataadaptive
transforms
Single scale Principal component analysis (PCA)
1D/2D/3D
Eigen vectors
1986
Jolliffe [17]
Independent component analysis (ICA)
1D/2D/3D
Eigen vectors
1994
Comon [82]
Multi-scale Conventional method of optimal
directions (MOD)
1D/2D/3D
Duration-translation
1999
Engan and Aase [83]
Conventional K-SVD
1D/2D/3D
Duration-translation
2006
Aharon [56]
Complex wavelet based K-SVD
1D/2D/3D
Scale-translation- angle
2015
Kafieh et al. [22]