1. An image processing apparatus comprising: a cross section image acquisition unit configured to acquire a cross section image generated by capturing an object with a probe; an information acquisition unit configured to acquire information on a position and orientation of the probe capturing the object; a three-dimensional image acquisition unit configured to acquire a three-dimensional image generated by capturing the object; a correspondence cross section calculation unit configured to calculate a correspondence cross section of the cross section image in the three-dimensional image based on the information on the position and orientation; an error acquisition unit configured to acquire an error estimation value of measurement accuracy of the position and orientation of the probe; a range determination unit configured to determine a range based on the correspondence cross section and the error estimation value; a generation unit configured to generate a display image from the three-dimensional image based on the range; and a display control unit configured to display the display image on a display screen.