Issue No. 06 - June (2012 vol. 18)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.34
Massimiliano Corsini , Istituto di Scienza e Tecnologia dell'Informazione, Area della Ricerca CNR di Pisa, Pisa
Paolo Cignoni , Istituto di Scienza e Tecnologia dell'Informazione, Area della Ricerca CNR di Pisa, Pisa
Roberto Scopigno , Istituto di Scienza e Tecnologia dell'Informazione, Area della Ricerca CNR di Pisa, Pisa
This paper deals with the problem of taking random samples over the surface of a 3D mesh describing and evaluating efficient algorithms for generating different distributions. We discuss first the problem of generating a Monte Carlo distribution in an efficient and practical way avoiding common pitfalls. Then, we propose Constrained Poisson-disk sampling, a new Poisson-disk sampling scheme for polygonal meshes which can be easily tweaked in order to generate customized set of points such as importance sampling or distributions with generic geometric constraints. In particular, two algorithms based on this approach are presented. An in-depth analysis of the frequency characterization and performance of the proposed algorithms are also presented and discussed.
Geometry processing, computational geometry, three-dimensional graphics and realism, sampling, Poisson-disk sampling, Monte Carlo methods.
M. Corsini, R. Scopigno and P. Cignoni, "Efficient and Flexible Sampling with Blue Noise Properties of Triangular Meshes," in IEEE Transactions on Visualization & Computer Graphics, vol. 18, no. , pp. 914-924, 2012.