Issue No. 06 - June (2012 vol. 18)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.34
M. Corsini , Visual Comput. Lab., Ist. di Scienza e Tecnol. dell'Inf., Pisa, Italy
P. Cignoni , Visual Comput. Lab., Ist. di Scienza e Tecnol. dell'Inf., Pisa, Italy
R. Scopigno , Visual Comput. Lab., Ist. di Scienza e Tecnol. dell'Inf., Pisa, Italy
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.
Monte Carlo methods, Three dimensional displays, Noise measurement, Complexity theory, Algorithm design and analysis, Context modeling,Monte Carlo methods., Geometry processing, computational geometry, three-dimensional graphics and realism, sampling, Poisson-disk sampling
M. Corsini, P. Cignoni, R. Scopigno, "Efficient and Flexible Sampling with Blue Noise Properties of Triangular Meshes", IEEE Transactions on Visualization & Computer Graphics, vol. 18, no. , pp. 914-924, June 2012, doi:10.1109/TVCG.2012.34