Mathematical Definitions
Let be a grayscale image, mapping points from an Euclidean space or discrete grid E (such as R2 or Z2) into the real line. Let be a grayscale structuring element.
Then, the white top-hat transform of f is given by:
- ,
where denotes the opening operation.
The black top-hat transform of f is given by:
- ,
where is the closing operation.
Read more about this topic: Top-hat Transform
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