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Typically, antialiasing is studied using Fourier spectrum analysis. A new conceptualization based on approximation theory is presented. Instead of viewing aliasing as a signal reconstruction problem we look at it as a general integral approximating a sampled function. With this attitude, a new method of antialiasing based on Gaussian integration is developed. Experiments show that this method may be preferrable when the number of sampling points is 9 points/pixel or more. We also show that the well-known Jittered Sampling methods are a special case of the new theory.
Alyn P. Rockwood, Houzhi Jin, Ning Liu, "Antialiasing by Gaussian Integration", IEEE Computer Graphics and Applications, vol. 16, no. , pp. 58-63, May 1996, doi:10.1109/38.491186
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