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Image enhancement

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Allen Tannenbaum

This document discusses smoothing an MRI brain image using different heat equation filters over multiple iterations, including a linear heat equation, affine heat equation, and kappa-shleesh filter. Images are shown at different timesteps for each filter demonstrating how the filters smooth the image over increasing numbers of iterations.

Smoothing with Linear Heat Equation

256 by 256 MRI brain image smoothed by linear heat equation:
y g y q
t=2, 6, 32, 128

1

Smoothing with Affine Heat Equation-I

Smoothing with
kappa-shleesh:
t=0, 16, 128, 1024

2

Smoothing with Affine Heat Equation-II

Magnification of original image and image after 256 iterations of
kappa-shleesh filter.

3

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Image enhancement

1. Smoothing with Linear Heat Equation 256 by 256 MRI brain image smoothed by linear heat equation: y g y q t=2, 6, 32, 128 1

2. Smoothing with Affine Heat Equation-I Smoothing with kappa-shleesh: t=0, 16, 128, 1024 2

3. Smoothing with Affine Heat Equation-II Magnification of original image and image after 256 iterations of kappa-shleesh filter. 3