Generation of Stratified Samples for B-Spline Pixel Filtering
Michael Stark, Peter S. Shirley, Michael Ashikhmin
In Journal of Graphics Tools, 10(1), 2005.
Abstract: B-spline filter kernels have proved useful in many pixel-sampling applications. A cubic B-spline filter kernel, having a width of four pixels, is particularly effective. In distribution ray tracing, pixel filters are evaluated implicitly by having the density of sampling proportional to the filter value. In this work we present a simple method to generate random samples having an underlying B-spline density function. To reduce error it is important to stratify the samples, akin to jittering for uniform sampling. We provide an algebraic and a numerical technique for doing this for B-spline kernels of degree 1, 2, and 3.
@article{Stark:2005:GOS,
author = {Michael Stark and Peter S. Shirley and Michael Ashikhmin},
title = {Generation of Stratified Samples for B-Spline Pixel Filtering},
journal = {Journal of Graphics Tools},
volume = {10},
number = {1},
pages = {39--48},
year = {2005},
}
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