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# tensorflow:: ops:: Dilation2D

``` #include <nn_ops.h> ```

Computes the grayscale dilation of 4-D ``` input ``` and 3-D ``` filter ``` tensors.

## Summary

The ``` input ``` tensor has shape ``` [batch, in_height, in_width, depth] ``` and the ``` filter ``` tensor has shape ``` [filter_height, filter_width, depth] ``` , i.e., each input channel is processed independently of the others with its own structuring function. The ``` output ``` tensor has shape ``` [batch, out_height, out_width, depth] ``` . The spatial dimensions of the output tensor depend on the ``` padding ``` algorithm. We currently only support the default "NHWC" ``` data_format ``` .

In detail, the grayscale morphological 2-D dilation is the max-sum correlation (for consistency with ``` conv2d ``` , we use unmirrored filters):

```output[b, y, x, c] =
max_{dy, dx} input[b,
strides[1] * y + rates[1] * dy,
strides[2] * x + rates[2] * dx,
c] +
filter[dy, dx, c]
```

Max-pooling is a special case when the filter has size equal to the pooling kernel size and contains all zeros.

Note on duality: The dilation of ``` input ``` by the ``` filter ``` is equal to the negation of the erosion of ``` -input ``` by the reflected ``` filter ``` .

Args:

• scope: A Scope object
• input: 4-D with shape ``` [batch, in_height, in_width, depth] ``` .
• filter: 3-D with shape ``` [filter_height, filter_width, depth] ``` .
• strides: The stride of the sliding window for each dimension of the input tensor. Must be: ``` [1, stride_height, stride_width, 1] ``` .
• rates: The input stride for atrous morphological dilation. Must be: ``` [1, rate_height, rate_width, 1] ``` .

Returns:

• ``` Output ``` : 4-D with shape ``` [batch, out_height, out_width, depth] ``` .

### Constructors and Destructors

``` Dilation2D (const :: tensorflow::Scope & scope, :: tensorflow::Input input, :: tensorflow::Input filter, const gtl::ArraySlice< int > & strides, const gtl::ArraySlice< int > & rates, StringPiece padding) ```

### Public attributes

``` operation ```
``` Operation ```
``` output ```
``` :: tensorflow::Output ```

### Public functions

``` node () const ```
``` ::tensorflow::Node * ```
``` operator::tensorflow::Input () const ```
``` ```
``` operator::tensorflow::Output () const ```
``` ```

## Public attributes

### operation

`Operation operation`

### output

`::tensorflow::Output output`

## Public functions

### Dilation2D

``` Dilation2D(
const ::tensorflow::Scope & scope,
::tensorflow::Input input,
::tensorflow::Input filter,
const gtl::ArraySlice< int > & strides,
const gtl::ArraySlice< int > & rates,
)```

### node

`::tensorflow::Node * node() const `

### operator::tensorflow::Input

` operator::tensorflow::Input() const `

### operator::tensorflow::Output

` operator::tensorflow::Output() const `
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