Preprocessing Techniques for Image Analysis Applications

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Preprocessing Techniques for Image Analysis
Applications

• Hong Zhang

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Preprocessing

• High dimensionality
• Limited sample size
• A simple argument Rao-Blackwell

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Preprocessing

• Normalization / transformation
• Feature extraction / elimination
• Kernel design

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Medical Imaging Applications
image
SVM
Image Processing
Feature Extraction
Kernel Design
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Mammography
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Mathematical Morphology

• Erosion
• Dilation
• Opening
• Closing

• Tophat
• Watershed
• Reconstruction
• Skeletonization

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Calcification Detection
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Cell Image
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Segmentation
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Simple Features

• Area
• Length
• Elongation
• Eccentricity
• Compactness

• Mean
• Variance
• Density
• Fractal dimension
• Moments

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Kernel Invariance
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Translation Invariance
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Rotation Invariance
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The Fourier Kernel
translation
rotation
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3D Problems

• Harmonic analysis on locally compact Abelian
  group
• S2 is not a topological group
• SO(3) is not Abelian
• Torus
• Quaternion

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Circulating Tumor Cells
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Automatic CTC Detection
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Canonical Correlation Analysis
Maximize correlation
Functional MRI
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Flow Cytometry
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Distance Measures

• Bhattacharyya affinity
• Nearest neighbor error
• Mahalanobis distance
• Kullback-Leibler divergence
• Jeffreys divergence

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Kernel on Distributions
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Clustering

• Gaussian mixture
• K-means
• EM algorithm
• Regularization