1. A stereoscopic display apparatus comprising: a stereo image acquisition unit configured to acquire a first stereo image for a first image and a second stereo image for a second image; a border generation unit configured to generate a border for separating the first image from the second image with a border region having depth information by adjusting depth of pixels in the border region based on a depth range of pixels adjacent to the border, such that the second image seems to be in front of or behind the first image; and a displaying unit configured to combine the second stereo image and the generated border with the first stereo image and display the combined stereo images.