PDES in image processingPDES in image processing

Talk at OU sigCAMTalk at OU sigCAM

Meijun ZhuMeijun Zhu

Gaussian filterGaussian filter

Lena picture with Lena picture with Gaussian noise.Gaussian noise.

Experiment for Gaussian FilterExperiment for Gaussian FilterAfter three steps, it After three steps, it becomes better.becomes better.

After more steps, it After more steps, it becomes blur.becomes blur.

Q-flow for denoiseQ-flow for denoiseLeft side: Affine Left side: Affine flow; Right side: Q-flow; Right side: Q-flow.flow.

More picture and More picture and comparison can be comparison can be found atfound at

http://http://www.math.ou.edu/www.math.ou.edu/~yni/flow.html~yni/flow.html

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

DiscussionDiscussion

DiscussionDiscussion

Psychological questions: illusions.Psychological questions: illusions.

Experiments.Experiments.

Other applicationsOther applications

Can the flow be Can the flow be used to reduce used to reduce illusions?illusions?

Real problemsReal problemsSatellite imagesSatellite images

Medical imagesMedical images

Signal processingSignal processing

Nonlinear expression (comparing Nonlinear expression (comparing with Wavelets, etc.)with Wavelets, etc.)