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R. Marques, C. Bouville, M. Ribardière, L. P. Santos and K. Bouatouch Spherical Fibonacci Point Sets for Illumination Integrals Computer Graphics Forum 32

Article first published online: 24 JUL 2013 | DOI: 10.1111/cgf.12190

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Quasi-Monte Carlo (QMC) methods exhibit a faster convergence rate than that of classic Monte Carlo methods. This feature has made QMC prevalent in image synthesis, where it is frequently used for approximating the value of spherical integrals (e.g. illumination integral). The common approach for generating QMC sampling patterns for spherical integration is to resort to unit square low-discrepancy sequences and map them to the hemisphere. However such an approach is suboptimal as these sequences do not account for the spherical topology and their discrepancy properties on the unit square are impaired by the spherical projection.

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