Chapter Questions
What is mathematical morphology?
What is a structuring element? What is its role in mathematical morphology?
Give the definition of erosion and dilation for binary images.
Is erosion a commutative operation?
What is the difference between the result of opening performed once and twice? What is idempotency?
Gray-level dilation and erosion are a generalization of the same notions in binary images. Describe how they are done.
What is the top hat transformation and when is it used? Sketch a 1D example of the image profile demonstrating the use of top hat transform, show the top-hat transform result.
What is the skeleton by maximal balls? What does the skeleton of two touching filled circles look like?
What does the homotopic skeleton of two touching balls look like?
Explain the role of ultimate erosion for marking particles.
What is a regional maximum?
What is geodesic distance? How is it used in mathematical morphology?
What is granulometry?
Name three application areas in which gramulometry analysis may be used.
What is the relation between a gramulometric curve (spectrum) and the Fourier spectrum?
What is a watershed? How is it used for morphological segmentation?