Computes the grayscale erosion of 4-D `value`

and 3-D `kernel`

tensors.

tf.compat.v1.nn.erosion2d( value, kernel, strides, rates, padding, name=None )

The `value`

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

and the `kernel`

tensor has shape `[kernel_height, kernel_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 erosion is given by:

output[b, y, x, c] = min_{dy, dx} value[b, strides[1] * y - rates[1] * dy, strides[2] * x - rates[2] * dx, c] - kernel[dy, dx, c]

Duality: The erosion of `value`

by the `kernel`

is equal to the negation of the dilation of `-value`

by the reflected `kernel`

.

Args | |
---|---|

`value` | A `Tensor` . 4-D with shape `[batch, in_height, in_width, depth]` . |

`kernel` | A `Tensor` . Must have the same type as `value` . 3-D with shape `[kernel_height, kernel_width, depth]` . |

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

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

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

`name` | A name for the operation (optional). If not specified "erosion2d" is used. |

Returns | |
---|---|

A `Tensor` . Has the same type as `value` . 4-D with shape `[batch, out_height, out_width, depth]` . |

Raises | |
---|---|

`ValueError` | If the `value` depth does not match `kernel` ' shape, or if padding is other than `'VALID'` or `'SAME'` . |

© 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/r2.3/api_docs/python/tf/compat/v1/nn/erosion2d