1. A method for converting an image resolution, comprising: converting a low resolution image into a high resolution image; generating a second high resolution image by compensating an image quality of the high resolution image; and selectively compensating a second region, which is included in the second high resolution image and corresponds to a first region included in the low resolution image, based on information about the first region, wherein the generating the second high resolution image includes: removing visual artifacts, included in the high resolution image, to generate a first high resolution image; and enhancing details and sharpness of the first high resolution image to generate the second high resolution image, wherein the enhancing the details and the sharpness includes: sampling a high frequency component of a texture portion, included in the first high resolution image; calculating an average gradient compensation value of an edge portion, included in the first high resolution image; and adjusting the details and the sharpness by using the sampled high frequency component and the average gradient compensation value, and wherein the sampling the high frequency component includes: low-pass filtering the first high resolution image; high-pass filtering the first high resolution image; and calculating a difference, between a low pass filtered first high resolution image and a high pass filtered first high resolution image, to sample the high frequency component.