PDES in image processing

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PDES in image processing

• Talk at OU sigCAM
• Meijun Zhu

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Gaussian filter

• Lena picture with Gaussian noise.

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Experiment for Gaussian Filter

• After three steps, it becomes better.
• After more steps, it becomes blur.

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Q-flow for denoise

• Left side Affine flow Right side Q-flow.
• More picture and comparison can be found at
• http//www.math.ou.edu/yni/flow.html

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Active Contour

• The main goal here is to find the boundary of
  interesting area

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Discussion
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Discussion

• Psychological questions illusions.
• Experiments.

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Other applications

• Can the flow be used to reduce illusions?

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Real problems

• Satellite images
• Medical images
• Signal processing
• Nonlinear expression (comparing with Wavelets,
  etc.)