An image processing apparatus that generates an output image according to interpolation performed by using an input image includes a pixel-value calculating unit that calculates a pixel value of a pixel of the output image according to interpolation performed by using pixel values of pixels of the input image and an interpolation function, an edge determining unit that determines an edge direction, which is a direction of an edge in the pixel of the output image, using the input image, and an adjusting unit that adjusts the interpolation function such that a degree of pixels of the input image present in a direction along the edge direction contributing to the interpolation is large and a degree of pixels of the input image present in a direction orthogonal to the edge direction contributing to the interpolation is small.