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PDES in image processing. Talk at OU sigCAM Meijun Zhu. Gaussian filter. Lena picture with Gaussian noise. Experiment for Gaussian Filter. After three steps, it becomes better. After more steps, it becomes blur. Q-flow for denoise. Left side: Affine flow; Right side: Q-flow.

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Pdes in image processing

PDES in image processing

Talk at OU sigCAM

Meijun Zhu


Gaussian filter
Gaussian filter

  • Lena picture with Gaussian noise.


Experiment for gaussian filter
Experiment for Gaussian Filter

  • After three steps, it becomes better.

  • After more steps, it becomes blur.


Q flow for denoise
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


Active contour
Active Contour

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



Discussion1
Discussion

  • Psychological questions: illusions.

  • Experiments.


Other applications
Other applications

  • Can the flow be used to reduce illusions?


Real problems
Real problems

  • Satellite images

  • Medical images

  • Signal processing

  • Nonlinear expression (comparing with Wavelets, etc.)


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