Image generation with interpolation of pixels on a grid to pixels on a scan trajectory

An image generation apparatus provides interpolation and distortion correction. The interpolation and distortion correction may be provided in one or two dimensions. Nonlinear image scan trajectories, such as sinusoidal and bi-sinusoidal trajectories are accommodated. Horizontal and vertical scan positions are determined using a linear pixel clock, and displayed pixel intensities are determined using interpolation techniques.