Sampling

Creating suitable dense point samples of manifolds embedded in some metric space or simply subsets of such a metric space is essential for point-based modelling of well-characterised manifolds. This is some work on producing such sampling sequences and various applications predominantly related to point-based rendering. The software for this is begin developed at the Hekate development site.

  • Uniform Surface Point Sampling for Direct Write Applications

    Finlay N. McPherson, Jonathan A. Quinn, Jonathan Corney, Frank C. Langbein, Ralph R. Martin. Uniform Surface Point Sampling for Direct Write Applications.

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  • Point Sampling

    Low-Discrepancy Sampling

    This is the PhD work of Jonathan Quinn about creating low-discrepancy sampling sequwnces of surfaces utilising space-filling curves. This has been applied to point-based rendering, remeshing and robotic painting (in collaboration with Jonathan Corney and Finlay McPherson). Jonathan’s supervisors are Frank Langbein and Ralph Martin.

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    Publications

    • J.A. Quinn, F. C. Langbein, Y.-K. Lai, R. R. Martin. Fast Low-discrepancy Sampling of Parametric Surfaces and Meshes. Proc. Maths of Surfaces XIV (CD ROM), Institute of Mathematics and its Applications, 2013.

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    • J.A. Quinn, F. C. Langbein, Y.-K. Lai, R. R. Martin. Generalised Anisotropic Stratified Surface Sampling. IEEE Trans. Visualization and Computer Graphics 19 (7), 1143-1157, 2013.

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    • J.A. Quinn, F. Sun, F. C. Langbein, Y.-K. Lai, W. Wang, R. R. Martin. Improved Initialisation for Centroidal Voronoi Tessellation and Optimal Delaunay Triangulation. Computer Aided Design, 44(11):1062-1071, 2012.

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    • J. A. Quinn, F. C. Langbein, R. R. Martin. Low-Discrepancy Sampling of Meshes for Rendering. In: Proc. Symp. Point-Based Graphics, Eurographics Assocication, pp. 19-28, 2007.

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    • J. A. Quinn, F. C. Langbein, R. R. Martin, G. Elber. Density-Controlled Sampling of Parametric Surfaces Using Adaptive Space-Filling Curves. In: M.-S. Kim, K. Shimada (eds), Proc. Geometric Modeling and Processing, Springer LNCS, 4077:465-484, 2006.

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            Partners

            • Y.-K. Lai
              Cardiff University, UK

            • Finlay N. McPherson
              School of Engineering & Physical Sciences, Heriot Watt University, UK.

            • Jonathan Corney
              University of Strathclyde, Glasgow, UK.

            • K. S. Sullivan
              Cardiff University, UK

            • Jonathan Quinn
              School of Computer Science and Informatics, Cardiff University, UK.

            • Ralph R Martin
              School of Computer Science and Informatics, Cardiff University, Cardiff, UK.

            • Frank C Langbein
              School of Computer Science, Cardiff University, Cardiff, UK.

            Funding