# SpaceToBatch {#openvino_docs_ops_movement_SpaceToBatch_2}

**Versioned name**: *SpaceToBatch-2*

**Category**: *Data movement*

**Short description**: The *SpaceToBatch* operation divides "spatial" dimensions `[1, ..., N - 1]` of the `data` input into a grid of blocks of shape `block_shape`, and interleaves these blocks with the batch dimension (0) such that in the output, the spatial dimensions `[1, ..., N - 1]` correspond to the position within the grid, and the batch dimension combines both the position within a spatial block and the original batch position. Prior to division into blocks, the spatial dimensions of the input are optionally zero padded according to `pads_begin` and `pads_end`.

**Detailed description**:

The operation is equivalent to the following transformation of the input tensor `data` of shape `[batch, D_1, D_2 ... D_{N - 1}]` and `block_shape`, `pads_begin`, `pads_end` of shapes `[N]` to *Y* output tensor.

Zero-pad the start and end of dimensions  \f$[D_0, \dots, D_{N - 1}]\f$ of the input according to `pads_begin` and `pads_end`:

\f[x = [batch + P_0, D_1 + P_1, D_2 + P_2, \dots, D_{N - 1} + P_{N - 1}]\f]
\f[x' = reshape(x, [batch, \frac{D_1 + P_1}{B_1}, B_1, \frac{D_2 + P_2}{B_2}, B_2, \dots, \frac{D_{N - 1} + P_{N - 1}}{B_{N - 1}}, B_{N - 1}])\f]
\f[x'' = transpose(x',  [2, 4, \dots, (N - 1) + (N - 1), 0, 1, 3, \dots, N + (N - 1)])\f]
\f[y = reshape(x'', [batch \times B_1 \times \dots \times B_{N - 1}, \frac{D_1 + P_1}{B_1}, \frac{D_2 + P_2}{B_2}, \dots, \frac{D_{N - 1} + P_{N - 1}}{B_{N - 1}}]\f]

where
- \f$P_i\f$ = pads_begin[i] + pads_end[i]
- \f$B_i\f$ = block_shape[i]
- \f$P_0\f$ for batch dimension is expected to be 0 (no-padding)
- \f$B_0\f$ for batch is ignored

**Attributes**

    No attributes available.

**Inputs**

*   **1**: `data` - input N-D tensor `[batch, D_1, D_2 ... D_{N - 1}]` of *T1* type with rank >= 2. **Required.**
*   **2**: `block_shape` - input 1-D tensor of *T2* type with shape `[N]` that is equal to the size of `data` input shape. All values must be >= 1.  `block_shape[0]` is expected to be 1. **Required.**
*   **3**: `pads_begin` - input 1-D tensor of *T2* type with shape `[N]` that is equal to the size of `data` input shape. All values must be non-negative. `pads_begin` specifies the padding for the beginning along each axis of `data` input . It is required that `block_shape[i]` divides `data_shape[i] + pads_begin[i] + pads_end[i]`. `pads_begin[0]` is expected to be 0. **Required.**
*   **4**: `pads_end` - input 1-D tensor of *T2* type with shape `[N]` that is equal to the size of `data` input shape. All values must be non-negative. `pads_end` specifies the padding for the ending along each axis of `data` input. It is required that `block_shape[i]` divides `data_shape[i] + pads_begin[i] + pads_end[i]`. `pads_end[0]` is expected to be 0. **Required.**

**Outputs**

*   **1**: N-D tensor with shape `[batch * block_shape[0] * block_shape[1] * ... * block_shape[N - 1], (D_1 + pads_begin[1] + pads_end[1]) / block_shape[1], (D_2 + pads_begin[2] + pads_end[2]) / block_shape[2], ..., (D_{N -1} + pads_begin[N - 1] + pads_end[N - 1]) / block_shape[N - 1]` of the same type as `data` input.

**Types**

* *T1*: any supported type.
* *T2*: any supported integer type.

**Example**

```xml
<layer type="SpaceToBatch" ...>
    <input>
        <port id="0">       <!-- data -->
            <dim>2</dim>    <!-- batch -->
            <dim>6</dim>    <!-- spatial dimension 1 -->
            <dim>10</dim>   <!-- spatial dimension 2 -->
            <dim>3</dim>    <!-- spatial dimension 3 -->
            <dim>3</dim>    <!-- spatial dimension 4 -->
        </port>
        <port id="1">       <!-- block_shape value: [1, 2, 4, 3, 1] -->
            <dim>5</dim>
        </port>
        <port id="2">       <!-- pads_begin value: [0, 0, 1, 0, 0] -->
            <dim>5</dim>
        </port>
        <port id="3">       <!-- pads_end value: [0, 0, 1, 0, 0] -->
            <dim>5</dim>
        </port>
    </input>
    <output>
        <port id="3">
            <dim>48</dim>   <!-- data.shape[0] * block_shape.shape[0] * block_shape.shape[1] *... * block_shape.shape[4] -->
            <dim>3</dim>    <!-- (data.shape[1] + pads_begin[1] + pads_end[1]) / block_shape.shape[1]  -->
            <dim>3</dim>    <!-- (data.shape[2] + pads_begin[2] + pads_end[2]) / block_shape.shape[2] -->
            <dim>1</dim>    <!-- (data.shape[3] + pads_begin[3] + pads_end[3]) / block_shape.shape[3] -->
            <dim>3</dim>    <!-- (data.shape[4] + pads_begin[4] + pads_end[4]) / block_shape.shape[4] -->
        </port>
    </output>
</layer>
```
