1. Given four objects with different shapes, please calculate the following values respectively for each object. O o Location: Centroid. Explain how you will assign object location when the centroid falls in between pixels. Circularity: E_min/E_max o Orientation: Direction of axis of least inertia. Explain how you will assign object direction when this axis is ambiguous. 2. The coordinate origin of an image may be at the lower left corner or at the center of an image. Does the location of the coordinate origin change your answers above? Please answer yes or no and provide a 1-sentence explanation to your answer. 3. The objects shown above are images with just a few pixels. Assume your images have objects of the same shape but much larger size. Are any of the three measures above "invariant to size," which means yield the same value (ignore small round-off errors)? Please answer yes or no and provide a short explanation. 1. Given four objects with different shapes, please calculate the following values respectively for each object. O o Location: Centroid. Explain how you will assign object location when the centroid falls in between pixels. Circularity: E_min/E_max o Orientation: Direction of axis of least inertia. Explain how you will assign object direction when this axis is ambiguous. 2. The coordinate origin of an image may be at the lower left corner or at the center of an image. Does the location of the coordinate origin change your answers above? Please answer yes or no and provide a 1-sentence explanation to your answer. 3. The objects shown above are images with just a few pixels. Assume your images have objects of the same shape but much larger size. Are any of the three measures above "invariant to size," which means yield the same value (ignore small round-off errors)? Please answer yes or no and provide a short explanation