*Anais do X SIBGRAPI (1997)* #ART09

Roberto Hirata Jr

Instituto de Matemática e Estatística - USP

**Abstract. **
Mathematical Morphology (**MM**) studies the representation of
image operators in terms of some families of simple operators, called the
elementary operators of **MM**. A drawback of this approach is
that the
representation of some operators is not efficient, since it uses a large
number of elementary operators. **Fast algorithms** are the solution
found by some authors to implement image operators that have complex
representations. Two drawbacks of this solution are:
i- they change the architecture of the software that implement the operators
by the morphological representation.
ii- these implementations are very specific and can not be used to implement
other operators.
Here, we study some of these fast algorithms and show that they can be
transformed into morphological representations with equivalent performance,
if proper data structures and
algorithms are used to implement the elementary operators.
Finally, some experimental results that illustrate these ideas are given.

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