imregionalmin

Regional minima

Syntax

BW = imregionalmin(I)
BW = imregionalmin(I,conn)

Description

example

BW = imregionalmin(I) returns the binary image BW that identifies the regional minima in grayscale image I. Regional minima are connected components of pixels with a constant intensity value, surrounded by pixels with a lower value.

You optionally can identify regional minima of 2-D images using a GPU (requires Parallel Computing Toolbox™). For more information, see Image Processing on a GPU.

BW = imregionalmin(I,conn) specifies the desired connectivity, conn.

Examples

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Create a simple sample array with several regional minima.

A = 10*ones(10,10);
A(2:4,2:4) = 3;       
A(6:8,6:8) = 8
A = 10×10

    10    10    10    10    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10    10    10    10    10    10    10    10    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10    10    10    10    10    10
    10    10    10    10    10    10    10    10    10    10

Calculate the regional minima. The function returns a binary image, the same size as the input image, in which pixels with the value 1 represent the regional minima. imregionalmin sets all other pixels in to 0.

regmin = imregionalmin(A)
regmin = 10x10 logical array

   0   0   0   0   0   0   0   0   0   0
   0   1   1   1   0   0   0   0   0   0
   0   1   1   1   0   0   0   0   0   0
   0   1   1   1   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   1   1   1   0   0
   0   0   0   0   0   1   1   1   0   0
   0   0   0   0   0   1   1   1   0   0
   0   0   0   0   0   0   0   0   0   0
   0   0   0   0   0   0   0   0   0   0

Create a 10-by-10 pixel sample image that contains two regional minima.

A = 10*gpuArray(ones(10,10));
A(2:4,2:4) = 3;       % minima 3 lower than surround
A(6:8,6:8) = 8        % minima 8 lower than surroundA(6:8,6:8) = 7; 
A =

    10    10    10    10    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10     3     3     3    10    10    10    10    10    10
    10    10    10    10    10    10    10    10    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10     8     8     8    10    10
    10    10    10    10    10    10    10    10    10    10
    10    10    10    10    10    10    10    10    10    10
    10    10    10    10    10    10    10    10    10    10

Pass the sample image A to imregionalmin. The function returns a binary image, the same size as A, in which pixels with the value 1 represent the regional minima in A. imregionalmin sets all other pixels in to 0.

regmin = imregionalmin(A)
regmin =

     0     0     0     0     0     0     0     0     0     0
     0     1     1     1     0     0     0     0     0     0
     0     1     1     1     0     0     0     0     0     0
     0     1     1     1     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     1     1     1     0     0
     0     0     0     0     0     1     1     1     0     0
     0     0     0     0     0     1     1     1     0     0
     0     0     0     0     0     0     0     0     0     0
     0     0     0     0     0     0     0     0     0     0

Input Arguments

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Input array, specified as a numeric array of any dimension.

To calculate regional minima using a GPU, specify I as a gpuArray that contains a 2-D numeric matrix.

Example: I = imread('cameraman.tif');

Example: I = gpuArray(imread('cameraman.tif'));

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical

Pixel connectivity, specified as one of the values in this table. The default connectivity is 8 for 2-D images, and 26 for 3-D images.

Value

Meaning

Two-Dimensional Connectivities

4-connected

Pixels are connected if their edges touch. The neighborhood of a pixel are the adjacent pixels in the horizontal or vertical direction.

8-connected

Pixels are connected if their edges or corners touch. The neighborhood of a pixel are the adjacent pixels in the horizontal, vertical, or diagonal direction.

Three-Dimensional Connectivities

6-connected

Pixels are connected if their faces touch. The neighborhood of a pixel are the adjacent pixels in:

  • One of these directions: in, out, left, right, up, and down

18-connected

Pixels are connected if their faces or edges touch. The neighborhood of a pixel are the adjacent pixels in:

  • One of these directions: in, out, left, right, up, and down

  • A combination of two directions, such as right-down or in-up

26-connected

Pixels are connected if their faces, edges, or corners touch. The neighborhood of a pixel are the adjacent pixels in:

  • One of these directions: in, out, left, right, up, and down

  • A combination of two directions, such as right-down or in-up

  • A combination of three directions, such as in-right-up or in-left-down

For higher dimensions, imregionalmin uses the default value conndef(ndims(I),'maximal').

Connectivity can also be defined in a more general way for any dimension by specifying a 3-by-3-by- ... -by-3 matrix of 0s and 1s. The 1-valued elements define neighborhood locations relative to the center element of conn. Note that conn must be symmetric about its center element. See Specifying Custom Connectivities for more information.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

Output Arguments

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Locations of regional minima, returned as a logical array of the same size as I. Pixels with the value 1 indicate regional maxima; all other pixels are set to 0.

If the regional minima are computed using a GPU, then BW is returned as a gpuArray that contains a logical matrix of the same size as I.

Data Types: logical

Extended Capabilities

Introduced before R2006a