``Grayscale_Opening'' -- morphological grayscale opening

purpose:

Perform a grayscale opening [27] on an input volume, using a specified structuring element with adjustable dimensions. The morphological grayscale opening of a volume v by a structuring element b is defined as

where is the notation for v opened by b. The operators and correspond to grayscale erosion and dilation, respectively, which are described in sections 2.2.7 and 2.2.8.

input:

An 8-bit grayscale volume.

output:

An 8-bit grayscale volume.

parameters:

Default parameter menu for this function is

x filter dim = 3
y filter dim = 3
z filter dim = 3
shape = sphere
max gray level = 3
input from vol # = 0
copy output to vol # = 0

The parameter ``shape = '' specifies the shape of the structuring element to be used when performing the opening. The available structuring elements are a sphere, paraboloid, and cone.
The parameter ``max gray level'' corresponds to the highest intensity value within the structuring element.

The ``filter dimension,'' ``shape,`` and ``maximum gray level'' parameters provide information about the filter size and structuring element used in the grayscale erosion and dilation functions that perform the opening. See Sections 2.2.7 and 2.2.8 for a more detailed explanation of these parameters.

comments:

 

1. There is no ``no. of iterations'' parameter with this function. Grayscale opening is idempotent.
2. This function is very slow, taking up to 6 minutes for an opening with a 7x7 structuring element on a 100x100x100 volume.