Adaptive Image Filtering

Carl-Fredrik Westin 1 Introduction 19

Ron Kikinis 2 Multidimensional Spatial Frequencies and Filtering 19

Harvard Medical School 2.1 Spatial Frequency • 2.2 Filtering • 2.3 Unsharp Masking

Hans Knutsson 3 Random Fields and Wiener Filtering 23

T. 3.1 Autocorrelation and Power Spectrum • 3.2 The Wiener Filter

Lmkopmg University r

4 Adaptive Wiener Filters 24

4.1 Local Adaptation • 4.2 Nonlinear Extension by a Visibility Function

5 Anisotropic Adaptive Filtering 26

5.1 Anisotropic Adaptive Filtering in Two Dimensions • 5.2 Multidimensional Anisotropic Adaptive Filtering • 5.3 Adaptation Process • 5.4 Estimation of Multidimensional Local Anisotropy Bias •

5.5 Tensor Mapping • 5.6 Examples of Anisotropic Filtering in 2D and 3D

References 30

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