1. An image processing apparatus for converting a 2D image into a 3D image composed of an image for a left eye and an image for a right eye, the image processing apparatus comprising: an image processor that calculates a sharpness of a 2D image for each region thereof and that performs image processing, in a region with a calculated sharpness being higher than a first predetermined value, to increase that sharpness, and performs image processing, in a region with a calculated sharpness being lower than a second predetermined value which is equal to or lower than the first predetermined value, to reduce that sharpness; and an image generator that generates, from the 2D image processed by the image processor, an image for a left eye and an image for a right eye by shifting the 2D image in a horizontal direction.