The conversion between the two bounding box representations can be implemented programmatically. The function `box_corner_to_center` converts bounding boxes from the two-corner representation to the center-width-height presentation. Conversely, `box_center_to_corner` performs the reverse operation. Both functions expect the input `boxes` to be a two-dimensional tensor of shape $$(n, 4)$$, where $$n$$ is the number of bounding boxes. They utilize standard tensor operations to calculate the midpoints, widths, and heights, and then stack the results along the final axis to return the transformed coordinates.

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It is often necessary to convert bounding box coordinates between the two-corner format and the center-width-height format. Computationally, bounding boxes are processed as a two-dimensional tensor of shape $$(n, 4)$$, where $$n$$ is the number of bounding boxes. To convert from the two-corner representation to the center-width-height representation, the center coordinates are calculated by finding the midpoint between the upper-left $$(x_1, y_1)$$ and lower-right $$(x_2, y_2)$$ corners, and the dimensions are determined by taking the coordinate differences: $$c_x = (x_1 + x_2) / 2$$, $$c_y = (y_1 + y_2) / 2$$, $$w = x_2 - x_1$$, and $$h = y_2 - y_1$$. The reverse conversion involves adding or subtracting half of the width and height from the center coordinates to recover the corner positions.

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