An information processing apparatus according to the present invention deforms stored first mesh information of a three-dimensional object based on a deformation instruction for instructing deformation of the three-dimensional object, to acquire second mesh information, acquires a first slice information group, which is a plurality of slice information, based on the second mesh information, determines color information of the points after deformation from stored 3D voxel information, sets new color information for the points of the first slice information group based on the determined color information of the points to acquire a second slice information group, and displays that second slice information group. With this information processing apparatus, it is possible to render deformation in the shape of a three-dimensional object in real time, along with the color information of its surface and interior.