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21 ALIASING 21 Aliasing 21.1 Aliasing Aliasing and Anti-Aliasing • Raster Image is a sampling of a continuous function • If samples spaced too far apart, then don’t get true representation of scene: • In graphics, a variety of bad things happen: – Stairstep or “jaggies” – Moire Patterns – Loss of small objects – Temporal ∗ Sampled too far apart in time Backwards rotating wheels ∗ Crawling jaggies ∗ Appearing/dissappearing objects, flashing objects Image as a signal • Signal processing signal is function of time • Scene is a function of space Spatial domain: f (u) • Raster image is a sampling of this signal • Can represent signal as sum of sine waves Frequency domain: F (u) 143