Istituto di Scienza e Tecnologie dell'Informazione     
Corsini M., Cignoni P., Scopigno R. Efficient and flexible sampling with blue noise properties of triangular meshes. In: IEEE Transactions on Visualization and Computer Graphics, vol. 18 (6) pp. 914 - 924. IEEE, 2012.
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 a 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.
URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6143943
DOI: 10.1109/TVCG.2012.34
Subject Geometry Processing
Computational Geometry
Three-Dimensional Graphics and Realism
Poisson-disk Sampling
Monte Carlo methods
I.4.1 DIgitization and Image Capture: samping
I.3.7 Three-Dimensional Graphics and Realism

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