Abstract: Min-axis based mip map determination logic receives a plurality of texture space derivatives with respect to screen space for a given pixel and texel location and selects from a plurality of mip map levels a mip map level based on a min-axis without using a max-axis value and without using an amount of anisotropy. The plurality of mip map levels corresponds to mip map levels of a mip chain. The min-axis may be identified as the squares of the texture space derivatives with respect to either the x-axis or the y-axis of screen space. Selecting the mip map level based on the min-axis ensures that each texel of the selected mip map never maps to more than one pixel during texture mapping where the main texture is of sufficient resolution. Thus, using the mip map level based on the min-axis to fetch texture data from memory and render images results in few aliasing artifacts.