Preprocessing Techniques for Image Analysis Applications Hong Zhang

Preprocessing High dimensionality Limited sample size A simple argument: Rao-Blackwell

Preprocessing Normalization / transformation Feature extraction / elimination Kernel design

Medical Imaging Applications Image Processing Feature Extraction Kernel Design imageSVM

Mammography

Mathematical Morphology Erosion Dilation Opening Closing Tophat Watershed Reconstruction Skeletonization

Calcification Detection

Cell Image

Segmentation

Simple Features Area Length Elongation Eccentricity Compactness Mean Variance Density Fractal dimension Moments

Kernel Invariance

Translation Invariance

Rotation Invariance

The Fourier Kernel translation rotation

3D Problems Harmonic analysis on locally compact Abelian group S 2 is not a topological group SO(3) is not Abelian Torus Quaternion

Circulating Tumor Cells

Automatic CTC Detection

Canonical Correlation Analysis Functional MRI Maximize correlation

Flow Cytometry

Distance Measures Bhattacharyya affinity Nearest neighbor error Mahalanobis distance Kullback-Leibler divergence Jeffreys’ divergence

Kernel on Distributions

Clustering Gaussian mixture K-means EM algorithm Regularization