2006 | OriginalPaper | Chapter
Systematic Sampling in Image-Synthesis
Authors : Mateu Sbert, Jaume Rigau, Miquel Feixas, Laszlo Neumann
Published in: Computational Science and Its Applications - ICCSA 2006
Publisher: Springer Berlin Heidelberg
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In this paper we investigate systematic sampling in the image- synthesis context. Systematic sampling has been widely used in stereology to improve the efficiency of different probes in experimental design. These designs are theoretically based on estimators of 1-dimensional and 2-dimensional integrals. For the particular case of the characteristic function, the variance of these estimators has been shown to be asymptotically
N
− − 3/2
, which improves on the
O
(
N
− − 1
) behaviour of independent estimators using uniform sampling. Thus, when no a priori knowledge of the integrand function is available, like in several image synthesis techniques, systematic sampling efficiently reduces the computational cost.