A method for creating an electron beam pattern exposure, where a pattern of shapes is generated, including at least one of lines and vias. To each shape there is assigned a set of exposure pixels and edge placement constraints. An intensity at each exposure pixel is calculated by using a simplex method, and a latent resist image location is calculated by convolving a proximity function with the pixel intensities. A shape critical dimension and a shape edge slope is statistically evaluated by applying linear regression on the locations of the calculated latent image. The electron beam pattern exposures are produced using dosages linearly optimized on a rotated pixel grid to produce the shape critical dimension and the shape edge slope.