Could you please point me out to some successful Signal, image, or video processing real life applications using partial differential equation?
Preferably, involving heat, reaction-diffusion, Poisson, or Wave equation.
If possible in fuzzy environment.
Best regards
Sarmad.
Usage of PDE (Partial Differential Equation)
Video Processing - track the object in video frames
- To find the key frames
Image Processing - Any masking operation like Edge Detection
@Amarnath R. Thank you for your answer, could you please elaborate more, recommend some references, and the possibility of fuzzy environment have it been tackled?.
PDE are the basis of many "inpainting" image restoration techniques:
- https://www.mathworks.com/company/newsletters/articles/applying-modern-pde-techniques-to-digital-image-restoration.html
- https://num.math.uni-goettingen.de/~gkadmin/daten/minicourse_part1.pdf
You can look at these:
- http://epubs.siam.org/doi/book/10.1137/1.9780898717877
- http://www.springer.com/gp/book/9783540332664
Also, you can take a look at Prof. Osher's refs: https://www.math.ucla.edu/~sjo/
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