1. An image processing apparatus comprising: a cross section information acquisition unit configured to acquire a position and orientation of a cross section image obtained by capturing an object; a three-dimensional image acquisition unit configured to acquire a three-dimensional image obtained 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 position and orientation; an error acquisition unit configured to acquire an error estimation value of the correspondence cross section; a range determination unit configured to determine, based on the error estimation value, a range within which a display image is generated from the three-dimensional image near the correspondence cross section; and a display unit configured to generate and display the display image based on the range.