mmsesum - N-1 iterative Minkowski additions

Synopsis

NB = mmsesum( B, N )

Input

B: Structuring element. Default: Elementary cross (mmsecross).

N: Non-negative integer. Default: 1.

Output

NB: Structuring element.

Description

mmsesum creates the structuring element NB from N - 1 iterative Minkowski additions with the structuring element B.

Examples

b = mmimg2se([1 1 1; 1 1 1; 0 1 0]); Warning: Converting image from double to binary uint8. mmseshow(b) ans = 1 1 1 1 1 1 0 1 0 b3 = mmsesum(b,3); mmseshow(b3) ans = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0

b = mmsedisk(1,'2D','CITY-BLOCK','NON-FLAT'); mmseshow(b) ans = 0 1 0 1 2 1 0 1 0 mmseshow(mmsesum(b,2)) ans = 0 0 1 0 0 0 1 2 1 0 1 2 3 2 1 0 1 2 1 0 0 0 1 0 0

Equation

Flat structuring element:

where the Minkowsky addition is given by

where + denotes the vectorial addition.

Non-flat structuring element:

where

where the Umbra is given by

and the Top surface is given by

See Also

mmclose - Morphological closing.

mmdil - Dilate an image by a structuring element.

mmero - Erode an image by a structuring element.

mmopen - Morphological opening.

mmseshow - Display a structuring element as an image.

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