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.