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# im2col

Rearrange image blocks into columns

## Syntax

B = im2col(A,[m n],block_type)
B = im2col(A,'indexed',...)

## Description

B = im2col(A,[m n],block_type) rearranges image blocks into columns. block_type is a string that can have one of these values. The default value is enclosed in braces ({}).

Value

Description

'distinct'

Rearranges each distinct m-by-n block in the image A into a column of B. im2col pads A with 0's, if necessary, so its size is an integer multiple of m-by-n. If A = [A11 A12; A21 A22], where each Aij is m-by-n, then B = [A11(:) A12(:) A21(:) A22(:)].

{'sliding'}

Converts each sliding m-by-n block of A into a column of B, with no zero padding. B has m*n rows and contains as many columns as there are m-by-n neighborhoods of A. If the size of A is [mm nn], then the size of B is (m*n)-by-((mm-m+1)*(nn-n+1)).

For the sliding block case, each column of B contains the neighborhoods of A reshaped as NHOOD(:) where NHOOD is a matrix containing an m-by-n neighborhood of A. im2col orders the columns of B so that they can be reshaped to form a matrix in the normal way. For Examples, suppose you use a function, such as sum(B), that returns a scalar for each column of B. You can directly store the result in a matrix of size (mm-m+1)-by-(nn-n+1), using these calls.

```B = im2col(A,[m n],'sliding');
C = reshape(sum(B),mm-m+1,nn-n+1);```

B = im2col(A,'indexed',...) processes A as an indexed image, padding with 0's if the class of A is uint8 or uint16, or 1's if the class of A is double.

## Class Support

The input image A can be numeric or logical. The output matrix B is of the same class as the input image.

## Examples

Calculate the local mean using a [2 2] neighborhood with zero padding:

```A = reshape(linspace(0,1,16),[4 4])'
B = im2col(A,[2 2])
M = mean(B)
newA = col2im(M,[1 1],[3 3])```

The output appears like this:

```newA =

0.1667    0.2333    0.3000
0.4333    0.5000    0.5667
0.7000    0.7667    0.8333```

## See Also

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