An image transformation apparatus is provided, which includes a modeling unit 5 that calculates the coordinates of vertices of each polygon and calculates a pre-filter coefficient corresponding to a reduction ratio at the position of a vertex of each polygon, with respect to a model to which an image is attached to; a texture address unit 6 that converts the coordinates of vertices of each polygon calculated in the modeling unit 5 into the coordinates of each pixel and sets a read address for attaching an image to the model using the coordinates of each pixel; a filter coefficient unit 7 that converts a pre-filter coefficient calculated in the modeling unit 5 into a pre-filter coefficient at the position of each pixel; an H-direction pre-filter 9, an HV scan converter 10 and a V-direction pre-filter 11 that perform filtering on input image data with a pre-filter coefficient obtained through conversion in the filter coefficient unit 7; a texture memory 13 to which image data filtered in the H-direction pre-filter 9, HV scan converter 10 and V-direction pre-filter 11, is written; and a texture memory controller 12 which reads out image data from the texture memory 13 in accordance with a read address set in the texture address unit 6.