PDES in image processing

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Presentation transcript:

PDES in image processing Talk at OU sigCAM Meijun Zhu 2-28-2007, first talk.

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. More picture and comparison can be found at http://www.math.ou.edu/~yni/flow.html

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

Discussion

Discussion Psychological questions: illusions. Experiments.

Other applications Can the flow be used to reduce illusions?

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