02-06-2012, 02:03 PM
Morphological Image Processing
[attachment=24006]
What are Morphological Operations?
Morphological operations come from the word “morphing”
in Biology which means “changing a shape”.
Morphological operations used as a tool for extracting image components that are useful in the representation and description of region shape, such as boundaries, skeletons, and the convex hull.
Image morphological operations are used to manipulate object shapes such as thinning, thickening, and filling.
Binary morphological operations are derived from set operations.
Some Basic Morphological Algorithm
The boundary of a set A, denoted by ,ß( A) , can be obtained by first eroding A by B and then performing the set difference between A and its erosion.
Convex hull has no concave part.
A set A is said to be convex if the straight line segment joining any two points in A lies entirely within A.
The convex hull H of an arbitrary set S is the smallest convex set containing S
the procedure consists of iteratively applying the hit-or-miss transform to A with B1; when no further changes occur, we perform the union with A and call the result D1.
The procedure is repeated with B2 (applied to A ) until no further changes occur, and so on.
Conclusion
The morphological concepts and techniques constitute a powerful set of tools for extracting features of interest in an image.
One of the most appealing aspects of morphological image processing is the extensive set theoretical foundation from which morphological techniques have evolved.
A significant advantage in terms of implementation is the fact that dilation and erosion are primitive operations that are the basis for a broad class of morphological algorithms.
morphology can be used as the basis for developing image segmentation procedures with a wide range of applications
morphological techniques also playa major role in procedures for image description.
[attachment=24006]
What are Morphological Operations?
Morphological operations come from the word “morphing”
in Biology which means “changing a shape”.
Morphological operations used as a tool for extracting image components that are useful in the representation and description of region shape, such as boundaries, skeletons, and the convex hull.
Image morphological operations are used to manipulate object shapes such as thinning, thickening, and filling.
Binary morphological operations are derived from set operations.
Some Basic Morphological Algorithm
The boundary of a set A, denoted by ,ß( A) , can be obtained by first eroding A by B and then performing the set difference between A and its erosion.
Convex hull has no concave part.
A set A is said to be convex if the straight line segment joining any two points in A lies entirely within A.
The convex hull H of an arbitrary set S is the smallest convex set containing S
the procedure consists of iteratively applying the hit-or-miss transform to A with B1; when no further changes occur, we perform the union with A and call the result D1.
The procedure is repeated with B2 (applied to A ) until no further changes occur, and so on.
Conclusion
The morphological concepts and techniques constitute a powerful set of tools for extracting features of interest in an image.
One of the most appealing aspects of morphological image processing is the extensive set theoretical foundation from which morphological techniques have evolved.
A significant advantage in terms of implementation is the fact that dilation and erosion are primitive operations that are the basis for a broad class of morphological algorithms.
morphology can be used as the basis for developing image segmentation procedures with a wide range of applications
morphological techniques also playa major role in procedures for image description.