# Point-based Modelling

**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 beg...

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

**Uniform Surface Point Sampling for Direct Write Applications**. - Point Sampling[More]
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.

## Publications

- [Details]
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. - [Details]
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. - [Details]
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. - [Details]
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. - [Details]
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.

## Partners

Y.-K. Lai

Cardiff University, UKFinlay N. McPherson

School of Engineering & Physical Sciences, Heriot Watt University, UK.Jonathan Corney

University of Strathclyde, Glasgow, UK.K. S. Sullivan

Cardiff University, UKJonathan 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

- [Details]
**2009-2013**:*RIVIC: One Wales Research Institute for Visual Computing*. WAG (HEFCW) via Bangor University. Consortium: R. R. Martin, N. J. Avis, A. D. Marshall, P. L. Rosin, F. C. Langbein at Cardiff University, with Bangor University (lead), Aberystwyth University, Swansea University. £998,011. - [Details]
**2008**:*Density-controlled low-discrepancy sampling and meshing of 3D geometric models*. The Nuffield Foundation, Undergraduate Research Bursary 35473. F. C. Langbein, K. S. Sullivan. £1,400.