Jittered sampling: a nonseparable three dimensional model

The author show that three-dimensional spatiotemporal jittered sampling is not a direct extension of jittered sampling in one dimension. A model is developed in which the periodicity of the single-frame sampling function as well as the time to scan each picture element is taken into account. As a result, the power-spectral density of the sampled image consists of replications of the original image spectrum weighted by coefficients whose magnitude is governed by the jitter probability density function and the pattern used to obtain the image samples. This weighting can be utilized to reduce aliasing due to undersampled frequency components.<>