1. A method of generating a mipmap, comprising: allocating a mipmap status register of a mipmap level generated with respect to a texture as a mipmap generating function is invoked, without generating the mipmap; receiving an initial request for the texture and calculating a mipmap level with respect to the texture; determining whether a mipmap of the calculated mipmap level exists in response to the initial request using the mipmap status register and outputting a result indicative thereof; if the mipmap of the calculated mipmap level does not exist, receiving a subsequent request for the texture at a later time than the initial request, wherein the subsequent request for the texture is received after generation of the mipmap is delayed for a predetermined time period; determining whether to generate the mipmap of the calculated mipmap level based on the subsequent request at the end of the predetermined time period; and if the mipmap of the calculated mipmap level does not exist at the end of the predetermined time period, generating the mipmap of the calculated mipmap level.