Level-of-detail eigenvector determination in a graphics environment

Abstract

An apparatus to facilitate level-of-detail (LoD) eigenvector determination in a graphics environment is disclosed. The apparatus includes a processing core comprising a rasterizer hardware unit to: identify components of partial derivative vectors corresponding to two adjacent lines of a quadrilateral in texture space of an image, the quadrilateral corresponding to a pixel sampling area in screen space; combine the partial derivative vectors into a transformation matrix representing a transformation of coordinates from the screen space to the texture space; determine a value of a square of a major axis length (major squared) of the ellipse based on a sum of squares (SOS) of the components of the transformation matrix and a determinant of the transformation matrix; and compute eigenvector values for the ellipse using the components of the partial derivative vectors, the determinant of the transformation matrix, and the value of the major squared.