PDES in image processing
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Transcript of PDES in image processing
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.)