# mmsesum
N-1 iterative Minkowski additions

## Synopsis

NB = mmsesum( B = None, N = 1 )

Implemented in Python.

### Input

B | Structuring Element Default: `None` (3x3 elementary cross)
N | Double 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(mmbinary([[1, 1, 1], [1, 1, 1], [0, 1, 0]]))

    >>> mmseshow(b)

    array([[1, 1, 1],
           [1, 1, 1],
           [0, 1, 0]],'1')

    >>> b3 = mmsesum(b,3)

    >>> mmseshow(b3)

    array([[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]],'1')

    >>> b = mmsedisk(1,'2D','CITY-BLOCK','NON-FLAT');

    >>> mmseshow(b)

    array([[-2147483647,           0, -2147483647],
           [          0,           1,           0],
           [-2147483647,           0, -2147483647]],'i')

    >>> mmseshow(mmsesum(b,2))

    array([[-2147483647, -2147483647,           0, -2147483647, -2147483647],
           [-2147483647,           0,           1,           0, -2147483647],
           [          0,           1,           2,           1,           0],
           [-2147483647,           0,           1,           0, -2147483647],
           [-2147483647, -2147483647,           0, -2147483647, -2147483647]],'i')

## Equation

## Source Code

    def mmsesum(B=None, N=1):
        if B is None: B = mmsecross()
        if N==0:
            if mmisbinary(B): return mmbinary([1])
            else:             return int32([0]) # identity
        NB = B
        for i in range(N-1):
            NB = mmsedil(NB,B)
        return NB

## See also

mmdil | Dilate an image by a structuring element.
mmseshow | Display a structuring element as an image.
mmopen | Morphological opening.
mmclose | Morphological closing.
mmero | Erode an image by a structuring element.
mmseunion | Union of structuring elements

[`mmseshow`] [Up] [`mmsetrans`] |
Copyright (c) 2003, Roberto A. Lotufo, UNICAMP-University of Campinas; Rubens C. Machado, CenPRA-Renato Archer Research Center.