Explore ways (and applications) of linking continuous and discrete image models: How to translate a continuous image processing model into a discrete numerical algorithm? Conversely, how to extract geometric informations from a discrete array of pixels?

• The image formation process: geometry, diffraction, sampling
• FFT- and Spline-based interpolations,  lossless geometric transforms
• Image reduction and the aliasing/ringing/blur trade-off
• Implementation of differential operators, image iterative filtering
• Sub-pixel image geometry
• Phase spectrum and applications: sharpness metrics, texture synthesis