Computes the grayscale dilation of 4-D `input`

and 3-D `filters`

tensors.

tf.compat.v2.nn.dilation2d( input, filters, strides, padding, data_format, dilations, name=None )

The `input`

tensor has shape `[batch, in_height, in_width, depth]`

and the `filters`

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] + filters[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 `filters`

is equal to the negation of the erosion of `-input`

by the reflected `filters`

.

Args | |
---|---|

`input` | A `Tensor` . Must be one of the following types: `float32` , `float64` , `int32` , `uint8` , `int16` , `int8` , `int64` , `bfloat16` , `uint16` , `half` , `uint32` , `uint64` . 4-D with shape `[batch, in_height, in_width, depth]` . |

`filters` | A `Tensor` . Must have the same type as `input` . 3-D with shape `[filter_height, filter_width, depth]` . |

`strides` | A list of `ints` that has length `>= 4` . The stride of the sliding window for each dimension of the input tensor. Must be: `[1, stride_height, stride_width, 1]` . |

`padding` | A `string` from: `"SAME", "VALID"` . The type of padding algorithm to use. |

`data_format` | A `string` , only `"NHWC"` is currently supported. |

`dilations` | A list of `ints` that has length `>= 4` . The input stride for atrous morphological dilation. Must be: `[1, rate_height, rate_width, 1]` . |

`name` | A name for the operation (optional). |

Returns | |
---|---|

A `Tensor` . Has the same type as `input` . |

© 2020 The TensorFlow Authors. All rights reserved.

Licensed under the Creative Commons Attribution License 3.0.

Code samples licensed under the Apache 2.0 License.

https://www.tensorflow.org/versions/r1.15/api_docs/python/tf/compat/v2/nn/dilation2d