1. A method of reconstructing a high-resolution image by using multi-layer low-resolution images, the method comprising: dividing a low-resolution image into a plurality of texture layer low-resolution images and a plurality of base layer low-resolution images; generating a texture layer high-resolution image by compositing the plurality of the texture layer low-resolution images and generating a base layer high-resolution image by compositing the plurality of the base layer low-resolution images; and outputting a high-resolution image by compositing the texture layer high-resolution image and the base layer high-resolution image, wherein the base layer low-resolution images include low-frequency components and strong directional edge components of the low-resolution image, and the texture layer low-resolution images include high-frequency components representing detail information obtained by excluding the low-frequency components and the strong directional edge components from low-resolution image, wherein the generating of the texture layer high-resolution image and the base layer high-resolution image comprises: generating the texture layer high-resolution image by performing weighted sum filtering on a first current frame of each of the plurality of the texture layer low-resolution images, at least one first temporally neighboring frame of the first current frame and at least one first spatially neighboring frame of the first current frame; and generating the base layer high-resolution image by performing weighted sum filtering on a second current frame of each of the plurality of the base layer low-resolution images, at least one second temporally neighboring frame of the second current frame and at least one second spatially neighboring frame of the second current frame.