Alternative method for Hamilton-Jacobi PDEs in image processing
نویسندگان
چکیده
Multiscale signal analysis has been used since the early 1990s as a powerful tool for image processing. Nonlinear PDEs and multiscale morphological filters can be used to create nonlinear operators that have advantages over linear operators, notably preserving important features such as edges in images. In this report, we present the nonlinear Hamilton-Jacobi PDEs commonly used as filters for images, then morphological tools suitable for replacing Hamilton-Jacobi PDEs in linear cases. From this point on, the report tries to adapt the techniques used in linear cases to find morphological operators suitable for PDE replacement in the nonlinear general case. Finally experimental applications of the new nonlinear morphological operators in image processing are shown on actual images.
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