What does the Hit-or-miss transformation do?

it detects specific shapes in the image

what is the difference between the erosion and the geodesic erosion?

the geodesic erosion only applies the erosion partially

Can the Greyscale Dilation "make smaller" an image?

Depends on the structuring element

Does every pair of Fuzzy Erosion and Fuzzy Dilation form an adjoint pair?

No, it depends on the conjunction and implication chosen

Are the erosions monotonic with respect to the size of the image?

yes, in black&white, fuzzy and greyscale MM

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Last lecture MM

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A quiz about Greyscale and Fuzzy Mathematical Morphology.

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Questions 10

Answers

1
What does the Hit-or-miss transformation do?
it detects specific shapes in the image
it removes the noise
it detect borders
it counts the number of objects
2
Is Fuzzy MM a generalization of greyscale MM?
Yes, because greyscale MM is a specific case of Fuzzy MM
No, they different
it depends on the structuring element
Yes, because with fuzzy MM we can consider more operators
3
what is the difference between the erosion and the geodesic erosion?
no difference
Geodesic erosion needs two structuring elements
the geodesic erosion only applies the erosion partially
There is no Geodesic erosion
4
In grayscale MM, are erosions invariant with respect to the grayscale translations?
No, never
No, they are invariant only wrt spatial translations
Yes, always
No, it depends on the structuring elements
5
Which of the following areas commonly apply Mathematical Morphology?
Hardware design
Chemistry
Image Processing
Architecture
6
True or false? In Grayscale MM there is the same number of dilations than structuring elements.
FALSE
TRUE
7
True or false? In FUZZY MM the definition of a dilation depends ONLY on the structuring element
TRUE
FALSE
8
Can the Greyscale Dilation "make smaller" an image?
Sure, it always does it
Never
Depends on the structuring element
No, only erosions can reduce images
9
Does every pair of Fuzzy Erosion and Fuzzy Dilation form an adjoint pair?
Yes
No, it depends on the conjunction and implication chosen
No, it only holds in the greyscale MM
If and only if they are by the same structuring element
10
Are the erosions monotonic with respect to the size of the image?
yes in the case of Fuzzy MM but are not in greyscale MM
yes, in black&white, fuzzy and greyscale MM
yes in the case of greyscale MM but are not in Fuzzy MM
Never, it is antitonic

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