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Spherical harmonics for surface parametrisation and remeshing (2015)
Journal Article
Nortje, C. R., Ward, W. O., Neuman, B. P., & Bai, L. (in press). Spherical harmonics for surface parametrisation and remeshing. Mathematical Problems in Engineering, 2015, Article 82870. https://doi.org/10.1155/2015/582870

This paper proposes a novel method for parametrisation and remeshing incomplete and irregular polygonal meshes. Spherical harmonics basis functions are used for parametrisation. This involves least squares fitting of spherical harmonics basis functio... Read More about Spherical harmonics for surface parametrisation and remeshing.

Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics (2015)
Journal Article
Zhou, D., Dryden, I. L., Koloydenko, A. A., Audenaert, K. M., & Bai, L. (2016). Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics. Journal of Applied Statistics, 43(5), 943-978. https://doi.org/10.1080/02664763.2015.1080671

Practical statistical analysis of diffusion tensor images is considered, and we focus primarily on methods that use metrics based on Euclidean distances between powers of diffusion tensors. First we describe a family of anisotropy measures based on a... Read More about Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics.

Spatial monitoring of groundwater drawdown and rebound associated with quarry dewatering using automated time-lapse electrical resistivity tomography and distribution guided clustering (2015)
Journal Article
Chambers, J. E., Meldrum, P. I., Wilkinson, P. B., Ward, W. O., Jackson, C. R., Matthew, B., …Gunn, D. (2015). Spatial monitoring of groundwater drawdown and rebound associated with quarry dewatering using automated time-lapse electrical resistivity tomography and distribution guided clustering. Engineering Geology, 193, https://doi.org/10.1016/j.enggeo.2015.05.015

Dewatering systems used for mining and quarrying operations often result in highly artificial and complex groundwater conditions, which can be difficult to characterise and monitor using borehole point sampling approaches. Here automated time-lapse e... Read More about Spatial monitoring of groundwater drawdown and rebound associated with quarry dewatering using automated time-lapse electrical resistivity tomography and distribution guided clustering.